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Adventures in pH Control

Greg McMillan CDI Process & Industrial
Dave Joseph Rosemount Analytical
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  Photography and audio/video recording is not permitted in any
  sessions or in the exhibition areas without press credentials
  or written permission from the Emerson Exchange Board of
  Directors. Inquiries should be directed to:

  EmersonExchange@Emerson.com

  Thank you.
Presenters

   Greg McMillan
Principal Consultant
Email: Greg.McMillan@Emerson.com
33 years Monsanto-Solutia Fellow
2 years WU Adjunct Professor
10 years DeltaV R&D Contractor
BS Engineering Physics
MS Control Theory


   Dave Joseph
Sr. Industry Manager
Email: Dave.joseph@emerson.com
24 years with Rosemount Analytical
BS and MS in Chemical Engineering
Member AIChE
Key Benefits of Course

    Recognize the opportunity/challenges of pH control
    Learn about modeling and control options
    Optimize hardware implementation
    Understand the root causes of poor performance
    Prioritize improvements based on cost, time, and goal
    Gather insights for applications and solutions




                                                             4
Section 1: Measuring pH

    Brief theory of pH
    Inside a pH sensor
    The Smart pH sensor
    Diagnostics




                           5
Top Ten Signs of a Rough pH Startup

     Food is burning in the operators’ kitchen
     Only loop mode configured is manual
     Operator puts his fist through the screen
     You trip over a pile of used pH electrodes
     Technicians ask: “what is a positioner?”
     Technicians stick electrodes up your nose
     Environmental engineer is wearing a mask
     Plant manager leaves the country
     Lawyers pull the plugs on the consoles
     President is on the phone holding for you


                                                   6
The definition of pH

   pH is the unit of measurement for determining
    the acidity or alkalinity of a solution.
   The mathematical definition of pH is the
    negative logarithm of the molar hydrogen ion
    concentration, pH = - log([H+])
   pH is measured by various different sensors,      H2O

    most common and economical is the glass         H+      OH-
                                                    OH-     H+
    electrode/silver reference system.
   pH measurement requires periodic
    maintenance to maintain accuracy.
pH Scale vs Moles/Liter Ion
Concentration

     pH          Hydrogen Ion [H+]   Hydroxyl Ion [OH-]

     0 Acidic    1.0                 0.00000000000001
     1           0.1                 0.0000000000001
     2           0.01                0.000000000001
     3           0.001               0.00000000001
     4           0.0001              0.0000000001
     5           0.00001             0.000000001
     6           0.000001            0.00000001
     7 Neutral   0.0000001           0.0000001
     8           0.00000001          0.000001
     9           0.000000001         0.00001
     10          0.0000000001        0.0001
     11          0.00000000001       0.001
     12          0.000000000001      0.01
     13          0.0000000000001     0.1
     14 Basic    0.00000000000001    1.0
pH Values of Acids and Bases

     14                  4.0 % Sodium Hydroxide


     12                  0.04% Sodium Hydroxide

     10                       Milk of Magnesia


     8            0.84% Sodium Bicarbonate
pH                                                                   Water @ 25ºC
     6
                                                                     0.00001% Sulfuric Acid

     4                                                               0.0001% Hydrochloric Acid

                                                                     0.01% Sulfuric Acid
     2                                                               0.1% Hydrochloric Acid
                                                                     4.9% Sulfuric Acid
     0    1E00 1E-01 1E-02 1E-03 1E-04 1E-05 1E-06 1E-07 1E-08 1E-09 1E-10 1E-11 1E-12 1E-13 1E-14


               Hydrogen Ion Concentration (Mole/Liter)
What is pH? – technical stuff

    pH = - log([H+])
    Kw = [H+]*[OH-] = 1.0x10-14 at 25ºC
    pH + pOH = pKw
    pH is measured using the Nernst equation
         E(mV) = Ex + 2.3(RT/F)*log aH+
         ~ Ex – (S)*pH in simple form

    Where Ex = calibration constant
    2.3(RT/F) ~ slope (S) in mV/pH units
    aH+ = activity of hydrogen ion ~ [H+]
Theoretical Response of a
pH Sensor (25ºC)

 500
 400
 300                                      Slope of 59.16
                                          mV/pH Unit
 200
 100
  0
           mV
-100
-200           Zero mV
               at 7 pH
-300
-400                                 pH
-500
       0   1    2   3    4   5   6   7    8   9   10 11    12 13   14
pH Sensor Basics
•The pH electrode
produces a potential
(in mV’s)                           • The reference
proportional to the                 electrode potential
pH of the solution.                 must remain stable
                                    regardless of process
                                    or time effects
                       Glass
                       Body

         Ag/AgCl                     • Internal element- AgAgCl
         Internal       Shield
         Wire                        • Electrolyte fill - KCl/AgCl

                                     • Liquid Junctions



  pH Sensitive         Fill
  Glass                Solution


                               12
Inside the pH Glass Membrane...

                      Alkali Metal Ions                Anionic Sites
                                                                                     Glass Matrix
                                                                                     (unaffected)




                  M                       M                        M                   M                S
                      M                                                M                                     Core Glass

                               S                   S                             S

                                                                                                    M

 Leached Layer                                                          +
                                                   M                   H                                     Inner Zone
 (not to scale)
                                    +                                                   +
                                   H                                                   H

                                                                             +
                        +                      +                            H                            +
                       H                      H                                                         H

                                                                                                             Outer Zone
                                    +                          +
                                   H                          H
Leached Layer
Dissolving
                            Hydrogen Ions




                                                                13
The reference electrode


                                    The Reference Cell maintains
                                    a stable potential regardless
                                    of the process pH or changes
                                    in the activities of other ions in
                    AgCl/KCl        solution.
  Ag/AgCl           Fill
  Internal          Solution
  Wire                              The Liquid Junction completes
                                    the electrical circuit between
                                    the pH measuring electrode
                                    and the reference cell via the
                                    process solution.
                Liquid
                Junction

                               14
pH17
The sum of all potentials…

 Assuming a preamp with low leakage current, the pH sensor
 Ex =
   Eoutside of glass (in process solution)
 - Einside of glass (in glass fill solution)
 - Emeasurement wire (in glass fill solution)
 + Ereference wire (in reference Ag/KCL solution)
 + Ejunction potential (sum of all interface potentials)
    Glass fill solution typically formulated to cancel out effects
     so that 7 pH is 0 mV at any temperature.
Double Junction Combination pH
 Electrode - Circuit Diagram
                                                                                                                  Em




                                                                                                             W
                                                                                                                 R3

                                                                                                        Er




                                                                                                   W
                                                                                                       R4



                                                                                                              solution ground


                                                                                                             silver-silver chloride
Dehydration, loss of active sites,                                                                             internal electrode
chemical attack, and premature
                                                                                              E4
 aging reduces efficiency and
                                                                                                                  second
makes sensor dramatically slow




                                                                                    W
                                                                                        R5
                                                                                                                 junction

                                                                                                                 potassium chloride (KCl) electrolyte
        Gel layer is used as a term
                                                                                                                   in salt bridge between junctions
        for the glass surface that
          has water molecules                                                                                    primary
                                                                                        R6




                                                                                    W
                                                                                                                 junction

                                      inner                                              E5
                                      gel                                                                    silver-silver chloride
                                      layer                                                                    internal electrode
                                                                         E3
                                      outer
                                                                    W




                                                                        R2
                                      gel                                                                    pH fill solution
                                      layer                              E2
                                                                                                                                   Process ions may
            Measurement                                                 R1
                                                                    W




                                                                                                                                  migrate into porous
           becomes slow                                                        Ii                                                  reference junction
        if glass gets coated                                             E1                                                       while electrolyte ions
                                       Process Fluid                                                                                   migrate out
                                                                              W
                                                                                                   W




                                                                                                       R10
                                                                                    W
                                                                    W




                                                               R9                       R7
                                                                              R8


                               High acid or base concentrations can affect glass gel layer and reference junction potential
                               Increase in noise or decrease in span or efficiency is indicative of glass electrode problem
                                Shift or drift in pH measurement is normally associated with reference electrode problem
                                                                                                                                                           16
Life Depends On Process Conditions

  Months

                                          >100% increase in life
                                          from new glass designs
                                          for high temperatures




            25ºC           50ºC          75ºC                      100ºC
                         Process Temperature

      High pH conditions decrease glass life at any temperature
      Degraded accuracy and response time is also common
      Leads to unreliable feedforward control

                                                                           17
New Glass preserves response time
          After 120 hours exposure at 140ºC

    200       mV

    150

                        New Glass
    100
                        Other

     50

                                         minutes
      0
          0        50       100        150       200

          Glass electrodes get slow as they age
          High temperatures cause accelerated aging
          New glass formulations can resist this effect

                                                          18
Review: pH Measurement loop
                                      Analyzer
                               (not part of the sensor)
 4. Solution
   ground
                                  2. Reference
                                    electrode




                                    Liquid
                                   junction
  1. Glass
 electrode     3.Temperature
                  element
What is a SMART sensor?

    SMART sensors store calibration data on an embedded chip.
    SMART sensors record the initial calibration data of the sensor
     and all data from the last 5 calibrations
    They allow trending the performance variables of the sensor to
     determine how healthy the sensor is and what work is needed
     on it before venturing out into the field.
    Trended diagnostics enable Plantweb users to take action
     before the reading is compromised without any intimate
     knowledge of how a sensor works or what conditions the sensor
     may have been exposed to.
    Results are reduced maintenance and increased measurement
     uptime.
SMART loop: instrument-cable-sensor
                  4-wire Models
                 56 and 1056 are
                  smart-enabled




   2-wire, FF
 Model 1066 is
 smart-enabled                                             Smart pH sensorused
                                                                    sensor used
                   OR                                        in “Smart” mode

                                          VP8 (or cable)




                               Model 6081pH
                               Smart-enabled
                             Wireless Transmitter
SMART pH Sensors


     Plug and Play
  -   Factory pre-calibrated
  -   Calibrate in lab instead of in field
  -   Can restore to factory values

     SMART technology
  -   Automatically trend diagnostics
  -   Capture intermittent sensor problems
  -   SMART signal superimposed on mV signal (like HART)

     Simple Migration path
  -   Compatible with previous analyzers
  -   Compatible with previous sensors
Calibration history




   Advanced diagnostics
    Last 5 calibration data
     sets for troubleshooting
Calibration data set – diagnostics

                    Current readings!
                   Calibration Data
                   Time stamp between calibrations
                   Calibration method
                   Slope




                   Offset
                   Temperature at the time of calibration
                   Glass impedance
                   Reference impedance
Calibration History
Plug & Play Convenience
  Conventional approach: Field calibration with buffers
 SMART approach: Cal in the lab, Plug & Play in the field

Conventional sensor Field Equipment   Smart Sensor Field Equipment
Siemens Water Technologies, WI

 • Application: spent caustic, pH ~10-12
 • pH sensor: 3500HTVP and 396PVP
 • User comment:
 “The SMART is somewhat fool proof. I do like
 the backward compatibility with it, because
 initially we had the wrong probes hooked to the
 wrong boards, and everything still worked. The
 SMART features obviously didn't, but the
 probes themselves all functioned fine. “
Key Indicators of Sensor Performance
Plantweb pH measurements
provide a complete view of
the operational parameters:
 pH reading
 raw sensor output
 temperature
 reference impedance
 Glass impedance
 RTD resistance
Diagnostics - Broken Glass
                            3K      150 M
                                     0-5
                                      
                                                          Broken
                                                           Glass!


       Reference
       Electrode                                      Glass
                                     Solution         Electrode
                                     Ground


Broken Glass Fault
    pH Glass electrode normally has high impedance of 50-500 Megohm
    Recommended setting of 10 Megohm will detect even hairline cracks
    Glass can be cracked at the tip or further back inside the sensor (and
     not easily visible)




                                   29
Diagnostics - Coated Sensor
                          3K
                        40k             150 M
                                         
   Coated
   Sensor!


           Reference
           Electrode                                   Glass
                                       Solution        Electrode
                                       Ground


Coated Sensor Fault (Ref Z Too High)
    pH Reference electrode normally has low impedance of 1-10 KilOhm
    Reference coating slowly builds up around the junction
    Setting of 20 KilOhm should not generally cause false alarms




                                30
Diagnostics - Non-Immersed Sensor
                          60K         1500 M
                                     
                                                           Dry
                                                          Sensor!

      Reference
      Electrode                                     Glass
                                   Solution         Electrode
                                   Ground


 Dry Sensor Fault (Glass Z Too High)
     pH Glass electrode normally has impedance of 50-500 Megohm
     When sensor is dry there is no continuity between the electrode(s) and
      the solution ground so impedance reading is very high
     Recommended setting of 1000 Megohm will not cause false alarms




                                 31
More Advanced Diagnostics

      pH parameters slope, reference offset, glass, and reference
       impedances change little over bulk of operational life.
      When parameters start to change, they indicate that more
       frequent calibrations will be necessary.
      Diagnostics are at their most powerful when they can be
       compared to the original properties of the sensor.
      Example: a pH slope of 54 may not indicate a problem, but
       a sudden drop in slope from 58 to 54 may indicate a 9
       month old sensor will not last much longer.
      Trending the electrode slope, reference offset, and
       reference impedance will show the first sign of problems.
SMART and Trending Diagnostics

SMART pH sensors
automatically record their          ^mV/ pH
                                     59     58.9        58.8
                                                                Max pH error per calibration cycle
                                                       Change in Slope
                                                                 58.7         58.6        58.5        58.4        58.3        58.2        58.1         58         57.9        57.8        57.7        57.6         57.5         57.4         57.3



initial conditions and the
                              ^pH            0.1         0.2      0.3          0.4         0.5         0.6         0.7         0.8         0.9          1          1.1         1.2         1.3         1.4          1.5          1.6          1.7
                              0.1        # 0.02%   #   0.03% # 0.05%     #   0.07%   #   0.09%   #   0.10%   #   0.12%   #   0.14%   #   0.15%   #   0.17%   #   0.19%   #   0.21%   #   0.23%   #   0.24%   #    0.26%   #    0.28%   #    0.30%
                              0.2        # 0.03%   #   0.07% # 0.10%     #   0.14%   #   0.17%   #   0.21%   #   0.24%   #   0.27%   #   0.31%   #   0.34%   #   0.38%   #   0.42%   #   0.45%   #   0.49%   #    0.52%   #    0.56%   #    0.59%
                              0.3        # 0.05%   #   0.10% # 0.15%     #   0.20%   #   0.26%   #   0.31%   #   0.36%   #   0.41%   #   0.46%   #   0.52%   #   0.57%   #   0.62%   #   0.68%   #   0.73%   #    0.78%   #    0.84%   #    0.89%
                              0.4        # 0.07%   #   0.14% # 0.20%     #   0.27%   #   0.34%   #   0.41%   #   0.48%   #   0.55%   #   0.62%   #   0.69%   #   0.76%   #   0.83%   #   0.90%   #   0.97%   #    1.04%   #    1.11%   #    1.19%
                              0.5        # 0.08%   #   0.17% # 0.26%     #   0.34%   #   0.43%   #   0.51%   #   0.60%   #   0.69%   #   0.77%   #   0.86%   #   0.95%   #   1.04%   #   1.13%   #   1.22%   #    1.30%   #    1.39%   #    1.48%



last 5 calibrations to make
                              0.6        # 0.10%   #   0.20% # 0.31%     #   0.41%   #   0.51%   #   0.62%   #   0.72%   #   0.82%   #   0.93%   #   1.03%   #   1.14%   #   1.25%   #   1.35%   #   1.46%   #    1.57%   #    1.67%   #    1.78%
                              0.7        # 0.12%   #   0.24% # 0.36%     #   0.48%   #   0.60%   #   0.72%   #   0.84%   #   0.96%   #   1.08%   #   1.21%   #   1.33%   #   1.45%   #   1.58%   #   1.70%   #    1.83%   #    1.95%   #    2.08%
                              0.8        # 0.14%   #   0.27% # 0.41%     #   0.55%   #   0.68%   #   0.82%   #   0.96%   #   1.10%   #   1.24%   #   1.38%   #   1.52%   #   1.66%   #   1.80%   #   1.94%   #    2.09%   #    2.23%   #    2.37%
                              0.9        # 0.15%   #   0.31% # 0.46%     #   0.61%   #   0.77%   #   0.92%   #   1.08%   #   1.24%   #   1.39%   #   1.55%   #   1.71%   #   1.87%   #   2.03%   #   2.19%   #    2.35%   #    2.51%   #    2.67%
                               1         # 0.17%   #   0.34% # 0.51%     #   0.68%   #   0.85%   #   1.03%   #   1.20%   #   1.37%   #   1.55%   #   1.72%   #   1.90%   #   2.08%   #   2.25%   #   2.43%   #    2.61%   #    2.79%   #    2.97%
                              1.1        # 0.19%   #   0.37% # 0.56%     #   0.75%   #   0.94%   #   1.13%   #   1.32%   #   1.51%   #   1.70%   #   1.90%   #   2.09%   #   2.28%   #   2.48%   #   2.67%   #    2.87%   #    3.07%   #    3.26%



trending easier.              1.2
                              1.3
                              1.4
                              1.5
                              1.6
                                         # 0.20%
                                         # 0.22%
                                         # 0.24%
                                         # 0.25%
                                         # 0.27%
                                                   #
                                                   #
                                                   #
                                                   #
                                                   #
                                                       0.41% # 0.61%
                                                       0.44% # 0.66%
                                                       0.48% # 0.72%
                                                       0.51% # 0.77%
                                                       0.54% # 0.82%
                                                                         #
                                                                         #
                                                                         #
                                                                         #
                                                                         #
                                                                             0.82%
                                                                             0.89%
                                                                             0.96%
                                                                             1.02%
                                                                             1.09%
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                         1.03%
                                                                                         1.11%
                                                                                         1.20%
                                                                                         1.28%
                                                                                         1.37%
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                     1.23%
                                                                                                     1.34%
                                                                                                     1.44%
                                                                                                     1.54%
                                                                                                     1.64%
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                                 1.44%
                                                                                                                 1.56%
                                                                                                                 1.68%
                                                                                                                 1.80%
                                                                                                                 1.92%
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                             1.65%
                                                                                                                             1.79%
                                                                                                                             1.92%
                                                                                                                             2.06%
                                                                                                                             2.20%
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                         1.86%
                                                                                                                                         2.01%
                                                                                                                                         2.17%
                                                                                                                                         2.32%
                                                                                                                                         2.48%
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                     Beginning Slope - Ending Slope =
                                                                                                                                                     2.07%
                                                                                                                                                     2.24%
                                                                                                                                                     2.41%
                                                                                                                                                     2.59%
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                                 2.28%
                                                                                                                                                                 2.47%
                                                                                                                                                             Slope Change
                                                                                                                                                                 2.66%
                                                                                                                                                                 2.85%
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                             2.49%
                                                                                                                                                                             2.70%
                                                                                                                                                                             2.91%
                                                                                                                                                                             3.11%
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                     #

                                                                                                                                                     Slope change * Max change in pH =
                                                                                                                                                     2.76%   #   3.04%   #   3.32%   #
                                                                                                                                                                                         2.70%
                                                                                                                                                                                         2.93%
                                                                                                                                                                                         3.15%
                                                                                                                                                                                         3.38%
                                                                                                                                                                                         3.60%
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                     2.92%
                                                                                                                                                                                                     3.16%
                                                                                                                                                                                                     3.40%
                                                                                                                                                                                                     3.65%
                                                                                                                                                                                                     3.89%
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                                  3.13%
                                                                                                                                                                                                                  3.39%
                                                                                                                                                                                                                  3.65%
                                                                                                                                                                                                                  3.91%
                                                                                                                                                                                                                  4.17%
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                               3.34%
                                                                                                                                                                                                                               3.62%
                                                                                                                                                                                                                               3.90%
                                                                                                                                                                                                                               4.18%
                                                                                                                                                                                                                               4.46%
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                            3.56%
                                                                                                                                                                                                                                            3.86%
                                                                                                                                                                                                                                            4.15%
                                                                                                                                                                                                                                            4.45%
                                                                                                                                                                                                                                            4.75%




• Predictive maintenance
                              1.7        # 0.29%   #   0.58% # 0.87%     #   1.16%   #   1.45%   #   1.75%   #   2.04%   #   2.34%   #   2.63%   #   2.93%   #   3.23%   #   3.53%   #   3.83%   #   4.13%   #    4.43%   #    4.74%   #    5.04%
                              1.8        # 0.31%   #   0.61% # 0.92%     #   1.23%   #   1.54%   #   1.85%   #   2.16%   #   2.47%   #   2.79%   #   3.10%   #   3.42%   #   3.74%   #   4.06%   #   4.38%   #    4.70%   #    5.02%   #    5.34%
                              1.9        # 0.32%   #   0.65% # 0.97%     #   1.30%   #   1.62%   #   1.95%   #   2.28%   #   2.61%   #   2.94%   #   3.28%   Max mV deviation per
                                                                                                                                                             #   3.61%   #   3.94%   #   4.28%   #   4.62%   #    4.96%   #    5.30%   #    5.64%
                               2         # 0.34%   #   0.68% # 1.02%     #   1.37%   #   1.71%   #   2.05%   #   2.40%   #   2.75%   #   3.10%   #   3.45%   #   3.80%   #   4.15%   #   4.51%   #   4.86%   #    5.22%   #    5.57%   #    5.93%
                              2.1        # 0.36%   #   0.71% # 1.07%     #   1.43%   #   1.79%   #   2.16%   #   2.52%   #   2.89%   #   3.25%   #   3.62%   calibration cycle
                                                                                                                                                             #   3.99%   #   4.36%   #   4.73%   #   5.10%   #    5.48%   #    5.85%   #    6.23%
                              2.2        # 0.37%   #   0.75% # 1.12%     #   1.50%   #   1.88%   #   2.26%   #   2.64%   #   3.02%   #   3.41%   #   3.79%   #   4.18%   #   4.57%   #   4.96%   #   5.35%   #    5.74%   #    6.13%   #    6.53%
                              2.3        # 0.39%   #   0.78% # 1.18%     #   1.57%   #   1.97%   #   2.36%   #   2.76%   #   3.16%   #   3.56%   #   (Max mV deviation / Beginning
                                                                                                                                                     3.97%   #   4.37%   #   4.78%   #   5.18%   #   5.59%   #    6.00%   #    6.41%   #    6.82%



with reference Impedance      2.4
                              2.5
                              2.6
                              2.7
                              2.8
                                         # 0.41%
                                         # 0.42%
                                         # 0.44%
                                         # 0.46%
                                         # 0.48%
                                                   #
                                                   #
                                                   #
                                                   #
                                                   #
                                                       0.82% # 1.23%
                                                       0.85% # 1.28%
                                                       0.88% # 1.33%
                                                       0.92% # 1.38%
                                                       0.95% # 1.43%
                                                                         #
                                                                         #
                                                                         #
                                                                         #
                                                                         #
                                                                             1.64%
                                                                             1.71%
                                                                             1.77%
                                                                             1.84%
                                                                             1.91%
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                     #
                                                                                         2.05%
                                                                                         2.14%
                                                                                         2.22%
                                                                                         2.31%
                                                                                         2.39%
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                 #
                                                                                                     2.47%
                                                                                                     2.57%
                                                                                                     2.67%
                                                                                                     2.77%
                                                                                                     2.88%
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                             #
                                                                                                                 2.88%
                                                                                                                 3.00%
                                                                                                                 3.12%
                                                                                                                 3.24%
                                                                                                                 3.36%
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                         #
                                                                                                                             3.30%
                                                                                                                             3.44%
                                                                                                                             3.57%
                                                                                                                             3.71%
                                                                                                                             3.85%
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                     #
                                                                                                                                         3.72%
                                                                                                                                         3.87%
                                                                                                                                         4.03%
                                                                                                                                         4.18%
                                                                                                                                         4.34%
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                 #
                                                                                                                                                     4.14%
                                                                                                                                                     4.31%
                                                                                                                                                     4.48%
                                                                                                                                                     4.66%
                                                                                                                                                     4.83%
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                             #
                                                                                                                                                                 4.56%
                                                                                                                                                                 4.75%
                                                                                                                                                                 4.94%
                                                                                                                                                                 5.13%
                                                                                                                                                                 5.32%
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                         #
                                                                                                                                                                             4.98%
                                                                                                                                                             Slope) = Max pH error
                                                                                                                                                                             5.19%
                                                                                                                                                                             5.40%
                                                                                                                                                                             5.61%
                                                                                                                                                                             5.81%
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                     #
                                                                                                                                                                                         5.41%
                                                                                                                                                                                         5.63%
                                                                                                                                                                                         5.86%
                                                                                                                                                                                         6.08%
                                                                                                                                                                                         6.31%
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                 #
                                                                                                                                                                                                     5.83%
                                                                                                                                                                                                     6.08%
                                                                                                                                                                                                     6.32%
                                                                                                                                                                                                     6.56%
                                                                                                                                                                                                     6.81%
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                             #
                                                                                                                                                                                                                  6.26%
                                                                                                                                                                                                                  6.52%
                                                                                                                                                                                                                  6.78%
                                                                                                                                                                                                                  7.04%
                                                                                                                                                                                                                  7.30%
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                          #
                                                                                                                                                                                                                               6.69%
                                                                                                                                                                                                                               6.97%
                                                                                                                                                                                                                               7.25%
                                                                                                                                                                                                                               7.53%
                                                                                                                                                                                                                               7.80%
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                       #
                                                                                                                                                                                                                                            7.12%
                                                                                                                                                                                                                                            7.42%
                                                                                                                                                                                                                                            7.71%
                                                                                                                                                                                                                                            8.01%
                                                                                                                                                                                                                                            8.31%




trending
                              2.9        # 0.49%   #   0.99% # 1.48%     #   1.98%   #   2.48%   #   2.98%   #   3.48%   #   3.99%   #   4.49%   #   5.00%   #   5.51%   #   6.02%   #   6.53%   #   7.05%   #    7.57%   #    8.08%   #    8.60%
                               3         # 0.51%   #   1.02% # 1.53%     #   2.05%   #   2.56%   #   3.08%   #   3.60%   #   4.12%   #   4.65%   #   5.17%   #   5.70%   #   6.23%   #   6.76%   #   7.29%   #    7.83%   #    8.36%   #    8.90%
                              3.1        # 0.53%   #   1.05% # 1.58%     #   2.12%   #   2.65%   #   3.18%   #   3.72%   #   4.26%   #   4.80%   #   5.34%   #   5.89%   #   6.44%   #   6.98%   #   7.53%   #    8.09%   #    8.64%   #    9.20%
                              3.2        # 0.54%   #   1.09% # 1.64%     #   2.18%   #   2.74%   #   3.29%   #   3.84%   #   4.40%   #   4.96%   #   5.52%   #   6.08%   #   6.64%   #   7.21%   #   7.78%   #    8.35%   #    8.92%   #    9.49%
                              3.3        # 0.56%   #   1.12% # 1.69%     #   2.25%   #   2.82%   #   3.39%   #   3.96%   #   4.54%   #   5.11%   #   5.69%   #   6.27%   #   6.85%   #   7.44%   #   8.02%   #    8.61%   #    9.20%   #    9.79%




• Determine optimum
                              3.4        # 0.58%   #   1.16% # 1.74%     #   2.32%   #   2.91%   #   3.49%   #   4.08%   #   4.67%   #   5.27%   #   5.86%   #   6.46%   #   7.06%   #   7.66%   #   8.26%   #    8.87%   #    9.48%   #   10.09%
                              3.5        # 0.59%   #   1.19% # 1.79%     #   2.39%   #   2.99%   #   3.60%   #   4.20%   #   4.81%   #   5.42%   #     59mV/pH - 55mV/pH = 4mV/pH * 6pH =
                                                                                                                                                     6.03%   #   6.65%   #   7.27%   #   7.89%   #   8.51%   #    9.13%   #    9.76%   #   10.38%
                              3.6        # 0.61%   #   1.22% # 1.84%     #   2.46%   #   3.08%   #   3.70%   #   4.32%   #   4.95%   #   5.58%   #   6.21%   #   6.84%   #   7.47%   #   8.11%   #   8.75%   #    9.39%   #   10.03%   #   10.68%
                              3.7        # 0.63%   #   1.26% # 1.89%     #   2.53%   #   3.16%   #   3.80%   #   4.44%   #   5.09%   #   5.73%   #   6.38%  24mV / 59mV/pH = 0.41pH
                                                                                                                                                             #   7.03%   #   7.68%   #   8.34%   #   8.99%   #    9.65%   #   10.31%   #   10.98%
                              3.8        # 0.65%   #   1.29% # 1.94%     #   2.59%   #   3.25%   #   3.90%   #   4.56%   #   5.22%   #   5.89%   #   6.55%   #   7.22%   #   7.89%   #   8.56%   #   9.24%   #    9.91%   #   10.59%   #   11.27%
                              3.9        # 0.66%   #   1.33% # 1.99%     #   2.66%   #   3.33%   #   4.01%   #   4.68%   #   5.36%   #   6.04%   #   6.72%   #   7.41%   #   8.10%   #   8.79%   #   9.48%   #   10.17%   #   10.87%   #   11.57%
                               4         # 0.68%   #   1.36% # 2.04%     #   2.73%   #   3.42%   #   4.11%   #   4.80%   #   5.50%   #   6.20%   #   6.90%   #   7.60%   #   8.30%   #   9.01%   #   9.72%   #   10.43%   #   11.15%   #   11.87%



calibration frequency and     Change in Process
                                                             = 1%                    = 2%                    = 3%


                                                                             Beginning Slope - Ending Slope = Slope Change
                                                                                                                                     = 4%                    = 5%




predict probe life with pH                                                   Slope Change * Maximum Change in Process pH = Maximum pH Deviation




                                                                                                 For a typical application ranging from 4 to

slope trending                                                                                    10 pH the error from assuming 59 slope
                                                                                                    instead of 55 could be 0.41 pH units
                                                                                                           >>> need to recalibrate
Using Diagnostics
   Instruments ship with the
    diagnostics turned off
   When enabled, default setpoints
    will generally be ok
   Few false alarms when
    correctly configured
   Some problems may not be
    detectable with online
    diagnostics
   When in doubt, check with
    buffers
Section 2: Modeling and Control

    Virtual plant and embedded process models
    Online identification of titration curve
    Minimization of project capital cost
    Cascade pH control
    Batch pH control
    Linear reagent demand control
    Elimination of split range control
    Model predictive control




                                                 35
Embedded Process Model for pH




                                36
Titration Curves can Vary
      Weak Acid and Strong Base                                              Strong Acid and Weak Base




                                                                                                              pka = 10




  pka = 4




                                                 Slope moderated
                                                 near each pKa
            Weak Acid and Weak Base                                Multiple Weak Acids and Weak Bases
                                                 pKa and curve
                                                 change with
                                      pka = 10
                                                 temperature!
                                                                                                    pka = 9




                                                                              pka = 5
   pka = 4

                                                                   pka = 3




                                                                                                                         37
Nonlinearity can cost big money

pH measurement error may look smaller on the flatter portion of a titration
curve but the associated reagent delivery error is larger
                                  10



                                pH




                                     4
                                                                                             Reagent to Feed
                                                           Reagent                             Flow Ratio
                                         Optimum           Savings
                                                                                 Original
                                         set point
                                                                                 set point




       Oscillations could be due to non-ideal mixing, control valve stick-slip. or pressure fluctuations


                                                                                                               38
Titration Curve Matched to Plant



              pH




            Slope




                                   39
Modeled pH Control System

                                                                                   AY              signal
                                                       pH set point                             characterizer
                                                                                   1-3


    Signal characterizers linearize loop
        via reagent demand control
                                                                                   AC
                                                                                   1-1
   LC                              LT
   1-5                             1-5
                                                            signal                         splitter
                                                         characterizer
                                                                                   AY                 Feed
                                                                                   1-4
                                                 AY
                                                 1-2
                                                                           NaOH          Acid                   To other Tank
                                                            middle
                                                            signal
                                                           selector          FT           FT
                  Tank                                                       1-1          1-2
                                                 AY
                                                 1-1




                                           AT    AT          AT
                 Eductors                  1-1   1-2         1-3

                                                                         Static Mixer                           From other Tank




                                                                                                                To other Tank

     Downstream system




                                                                                                                                  40
Conventional vs. Reagent Demand




                            One of many spikes of recirculation pH
                             spikes from stick-slip of water valve




    Influent pH

                       Tank 1 pH for Reagent Demand Control


                        Tank 1 pH for Conventional pH Control



                                               Start of Step 4
                                               (Slow Rinses)
                  Start of Step 2
                  (Regeneration)




                                                                     41
Traditional System for
 Minimum Variability
The period of oscillation (4 x process dead time) and filter time
(process residence time) is proportional to volume. To prevent                                 Reagent
resonance of oscillations, different vessel volumes are used.


                                         Major overlooked           Reagent

                   Reagent              problem is reagent
                                        Deliver delay from
                                          dip tube design




            Feed




Small first tank provides a faster response
and oscillation that is more effectively filtered                             Big footprint
by the larger tanks downstream                                                and high cost!

                                                                                                         42
Traditional System for
Minimum Reagent Use
                    Reagent
                              The period of oscillation (total loop dead time) must differ by more
                              than factor of 5 to prevent resonance (amplification of oscillations)

             Feed                                         Reagent

                                                                                                  Reagent




 Big footprint
 and high cost!


                                  The large first tank offers more cross neutralization of influents


                                                                                                            43
Tight pH Control with
Minimum Capital


 IL#1 – Interlock that prevents back fill of
 reagent piping when control valve closes

 IL#2 – Interlock that shuts off effluent flow until
 vessel pH is projected to be within control band


                                                                                     Eductor
                                                                                                         High Recirculation Flow




                                                                                               Reagent
                                                                      Any Old Tank
                                                                                                                     Signal
                                                                                                                  Characterizer
                                                  LC          LT
                                                  1-3         1-3


                                                              *IL#2                                                                            f(x)
                                                                                               FT
                                                                                               1-1
Effluent
                                                                                                                         AC
                                                                                                                         1-1
                                                        FC
                                                        1-2
                                                                                                                                               AT
                                                                                                                                               1-1

                                                                                                                 *IL#1

                                   Influent             FT
                                                        1-2
                                                                                                                                    10 to 20
                                                                                                                                      pipe
                                                                                                                                   diameters


                                                                                                                                                      44
Linear Reagent Demand Control
   Signal characterizer converts PV and SP from pH to % Reagent Demand
     –   PV is abscissa of the titration curve scaled 0 to 100% reagent demand
     –   Piecewise segment fit normally used to go from ordinate to abscissa of curve
     –   Fieldbus block offers 21 custom space X,Y pairs (X is pH and Y is % demand)
     –   Closer spacing of X,Y pairs in control region provides most needed compensation
     –   If neural network or polynomial fit used, beware of bumps and wild extrapolation
   Special configuration is needed to provide operations with interface to:
     – See loop PV in pH and signal to final element
     – Enter loop SP in pH
     – Change mode to manual and change manual output
   Set point on steep part of curve shows biggest improvements from:
     –   Reduction in limit cycle amplitude seen from pH nonlinearity
     –   Decrease in limit cycle frequency from final element resolution (e.g. stick-slip)
     –   Decrease in crossing of split range point
     –   Reduced reaction to measurement noise
     –   Shorter startup time (loop sees real distance to set point and is not detuned)
     –   Simplified tuning (process gain no longer depends upon titration curve slope)
     –   Restored process time constant (slower pH excursion from disturbance)

                                                                                             45
Cascade Control to Reduce
Downstream Offset
                                                                                                                               Linear Reagent
                                                                                                                              Demand Controller
                                                                        Flow Feedforward
                           FT
                           1-1

                                                                                                                            RSP
                                                FC                                                                  AC                      Trim of Inline
                                                1-1               Sum                                                                         Set Point
                                                                                                                    1-1

                 Reagent


                                                                  AT                                                 f(x)
                                                                                           Filter                                     f(x)
                                                                  1-1

      FT
                                 Static Mixer                                                         PV signal
      1-2                                                                                                                                         SP signal
                                                                                                    Characterizer                               characterizer
                  Feed
 Coriolis Mass
                                                       10 to 20
  Flow Meter
                                                         pipe
                                                      diameters




                                                                                     M


                                                                                                                                      AC
                                                                                                                                      1-2
                                                        Any Old Tank

                                                                                                                                                         Enhanced PID
                                                                                                                                                           Controller
                                                                                                                                      AT
                                                                                                                                      1-2




                                                                                                                                                                        46
Full Throttle Batch pH Control

                                                                  Batch pH
                                                                  End Point




                                                                                     Predicted pH
                                    Reagent
                                                                     Cutoff                                 Sum

                                                                                                Rate of
                                                                                                                   Projected
                                                                              Past              Change               DpH
                                                         New pH               DpH               DpH/Dt

                                                                      Sub                 Div                Mul


                                                                          Old pH


                                                                      Delay               Dt         Total System
                                                                                                      Dead Time
       Batch Reactor
                                                       Filter


                                           AT
                                           1-1




                                10 to 20
                                  pipe
                               diameters




                       Section 3-5 in New Directions in Bioprocess Modeling and Control
                       shows how this strategy is used as a head start for a PID controller


                                                                                                                               47
Linear Reagent Demand
  Batch pH Control
                                                   FQ                         FT
              Secondary pH
                                                   1-1                        1-1
               PI Controller


                               AC                                FC
                               1-1                               1-1




Influent #1
                               AT                        Online Curve
                               1-1                       Identification


                                                          Static Mixer


                                      10 to 20
                                        pipe                                  FT
                                     diameters                                1-2


                                            Influent #2


                                                                                                            AC
                                            f(x)
                                                                                                            1-1
               Batch Reactor

                                                                Signal
                                                                                       Master Reagent Demand
                                                            Characterizer
                                                                                       Adaptive PID Controller
                                            AT              Uses Online
                                            1-1            Titration Curve




                                10 to 20                  Reduces injection and mixing delays and enables some cross
                                  pipe                    neutralization of swings between acidic and basic influent. It is
                               diameters                  suitable for continuous control as well as fed-batch operation.




                                                                                                                              48
Conventional Fine and
Coarse Valve Control


                                            Large                   Small
                                           (Coarse)                 (Fine)




                                     ZC        CV
                                     1-1


              Integral only Controller
                (CV is Implied Fine
              Control Valve Position)




                                                      Neutralizer

                                                                             AC
   ZC speed of response must
                                                                             1-1
   be slow and tuning is difficult
   Must add feedforward for fast
   and large influent disturbance                                                  PID Controller

                                                                             AT
                                                                             1-1




                                                                                                    49
Advanced Fine and
Coarse Valve Control

                                                                   manipulated
                                                                    variables
                                                    Small (Fine)             Large (Coarse)
                     MPC                          Reagent Valve SP          Reagent Valve SP
     controlled
      variable




                     Small (Fine)                                                null
                   Reagent Valve SP
     controlled
      variable




                    Neutralizer
                     pH PV




        Model Predictive Controller (MPC) setup for rapid simultaneous
        throttling of a fine and coarse control valves that addresses
        both the rangeability and resolution issues. This MPC can
        possibly reduce the number of stages of neutralization needed




                                                                                               50
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control
Adventures in pH Control

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Adventures in pH Control

  • 1. Adventures in pH Control Greg McMillan CDI Process & Industrial Dave Joseph Rosemount Analytical
  • 2. Photography & Video Recording Policy Photography and audio/video recording is not permitted in any sessions or in the exhibition areas without press credentials or written permission from the Emerson Exchange Board of Directors. Inquiries should be directed to: EmersonExchange@Emerson.com Thank you.
  • 3. Presenters  Greg McMillan Principal Consultant Email: Greg.McMillan@Emerson.com 33 years Monsanto-Solutia Fellow 2 years WU Adjunct Professor 10 years DeltaV R&D Contractor BS Engineering Physics MS Control Theory  Dave Joseph Sr. Industry Manager Email: Dave.joseph@emerson.com 24 years with Rosemount Analytical BS and MS in Chemical Engineering Member AIChE
  • 4. Key Benefits of Course  Recognize the opportunity/challenges of pH control  Learn about modeling and control options  Optimize hardware implementation  Understand the root causes of poor performance  Prioritize improvements based on cost, time, and goal  Gather insights for applications and solutions 4
  • 5. Section 1: Measuring pH  Brief theory of pH  Inside a pH sensor  The Smart pH sensor  Diagnostics 5
  • 6. Top Ten Signs of a Rough pH Startup  Food is burning in the operators’ kitchen  Only loop mode configured is manual  Operator puts his fist through the screen  You trip over a pile of used pH electrodes  Technicians ask: “what is a positioner?”  Technicians stick electrodes up your nose  Environmental engineer is wearing a mask  Plant manager leaves the country  Lawyers pull the plugs on the consoles  President is on the phone holding for you 6
  • 7. The definition of pH  pH is the unit of measurement for determining the acidity or alkalinity of a solution.  The mathematical definition of pH is the negative logarithm of the molar hydrogen ion concentration, pH = - log([H+])  pH is measured by various different sensors, H2O most common and economical is the glass H+ OH- OH- H+ electrode/silver reference system.  pH measurement requires periodic maintenance to maintain accuracy.
  • 8. pH Scale vs Moles/Liter Ion Concentration pH Hydrogen Ion [H+] Hydroxyl Ion [OH-] 0 Acidic 1.0 0.00000000000001 1 0.1 0.0000000000001 2 0.01 0.000000000001 3 0.001 0.00000000001 4 0.0001 0.0000000001 5 0.00001 0.000000001 6 0.000001 0.00000001 7 Neutral 0.0000001 0.0000001 8 0.00000001 0.000001 9 0.000000001 0.00001 10 0.0000000001 0.0001 11 0.00000000001 0.001 12 0.000000000001 0.01 13 0.0000000000001 0.1 14 Basic 0.00000000000001 1.0
  • 9. pH Values of Acids and Bases 14 4.0 % Sodium Hydroxide 12 0.04% Sodium Hydroxide 10 Milk of Magnesia 8 0.84% Sodium Bicarbonate pH Water @ 25ºC 6 0.00001% Sulfuric Acid 4 0.0001% Hydrochloric Acid 0.01% Sulfuric Acid 2 0.1% Hydrochloric Acid 4.9% Sulfuric Acid 0 1E00 1E-01 1E-02 1E-03 1E-04 1E-05 1E-06 1E-07 1E-08 1E-09 1E-10 1E-11 1E-12 1E-13 1E-14 Hydrogen Ion Concentration (Mole/Liter)
  • 10. What is pH? – technical stuff  pH = - log([H+])  Kw = [H+]*[OH-] = 1.0x10-14 at 25ºC  pH + pOH = pKw  pH is measured using the Nernst equation  E(mV) = Ex + 2.3(RT/F)*log aH+  ~ Ex – (S)*pH in simple form  Where Ex = calibration constant  2.3(RT/F) ~ slope (S) in mV/pH units  aH+ = activity of hydrogen ion ~ [H+]
  • 11. Theoretical Response of a pH Sensor (25ºC) 500 400 300 Slope of 59.16 mV/pH Unit 200 100 0 mV -100 -200 Zero mV at 7 pH -300 -400 pH -500 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
  • 12. pH Sensor Basics •The pH electrode produces a potential (in mV’s) • The reference proportional to the electrode potential pH of the solution. must remain stable regardless of process or time effects Glass Body Ag/AgCl • Internal element- AgAgCl Internal Shield Wire • Electrolyte fill - KCl/AgCl • Liquid Junctions pH Sensitive Fill Glass Solution 12
  • 13. Inside the pH Glass Membrane... Alkali Metal Ions Anionic Sites Glass Matrix (unaffected) M M M M S M M Core Glass S S S M Leached Layer + M H Inner Zone (not to scale) + + H H + + + H + H H H Outer Zone + + H H Leached Layer Dissolving Hydrogen Ions 13
  • 14. The reference electrode The Reference Cell maintains a stable potential regardless of the process pH or changes in the activities of other ions in AgCl/KCl solution. Ag/AgCl Fill Internal Solution Wire The Liquid Junction completes the electrical circuit between the pH measuring electrode and the reference cell via the process solution. Liquid Junction 14 pH17
  • 15. The sum of all potentials… Assuming a preamp with low leakage current, the pH sensor Ex = Eoutside of glass (in process solution) - Einside of glass (in glass fill solution) - Emeasurement wire (in glass fill solution) + Ereference wire (in reference Ag/KCL solution) + Ejunction potential (sum of all interface potentials)  Glass fill solution typically formulated to cancel out effects so that 7 pH is 0 mV at any temperature.
  • 16. Double Junction Combination pH Electrode - Circuit Diagram Em W R3 Er W R4 solution ground silver-silver chloride Dehydration, loss of active sites, internal electrode chemical attack, and premature E4 aging reduces efficiency and second makes sensor dramatically slow W R5 junction potassium chloride (KCl) electrolyte Gel layer is used as a term in salt bridge between junctions for the glass surface that has water molecules primary R6 W junction inner E5 gel silver-silver chloride layer internal electrode E3 outer W R2 gel pH fill solution layer E2 Process ions may Measurement R1 W migrate into porous becomes slow Ii reference junction if glass gets coated E1 while electrolyte ions Process Fluid migrate out W W R10 W W R9 R7 R8 High acid or base concentrations can affect glass gel layer and reference junction potential Increase in noise or decrease in span or efficiency is indicative of glass electrode problem Shift or drift in pH measurement is normally associated with reference electrode problem 16
  • 17. Life Depends On Process Conditions Months >100% increase in life from new glass designs for high temperatures 25ºC 50ºC 75ºC 100ºC Process Temperature  High pH conditions decrease glass life at any temperature  Degraded accuracy and response time is also common  Leads to unreliable feedforward control 17
  • 18. New Glass preserves response time After 120 hours exposure at 140ºC 200 mV 150 New Glass 100 Other 50 minutes 0 0 50 100 150 200 Glass electrodes get slow as they age High temperatures cause accelerated aging New glass formulations can resist this effect 18
  • 19. Review: pH Measurement loop Analyzer (not part of the sensor) 4. Solution ground 2. Reference electrode Liquid junction 1. Glass electrode 3.Temperature element
  • 20. What is a SMART sensor?  SMART sensors store calibration data on an embedded chip.  SMART sensors record the initial calibration data of the sensor and all data from the last 5 calibrations  They allow trending the performance variables of the sensor to determine how healthy the sensor is and what work is needed on it before venturing out into the field.  Trended diagnostics enable Plantweb users to take action before the reading is compromised without any intimate knowledge of how a sensor works or what conditions the sensor may have been exposed to.  Results are reduced maintenance and increased measurement uptime.
  • 21. SMART loop: instrument-cable-sensor 4-wire Models 56 and 1056 are smart-enabled 2-wire, FF Model 1066 is smart-enabled Smart pH sensorused sensor used OR in “Smart” mode VP8 (or cable) Model 6081pH Smart-enabled Wireless Transmitter
  • 22. SMART pH Sensors  Plug and Play - Factory pre-calibrated - Calibrate in lab instead of in field - Can restore to factory values  SMART technology - Automatically trend diagnostics - Capture intermittent sensor problems - SMART signal superimposed on mV signal (like HART)  Simple Migration path - Compatible with previous analyzers - Compatible with previous sensors
  • 23. Calibration history Advanced diagnostics  Last 5 calibration data sets for troubleshooting
  • 24. Calibration data set – diagnostics Current readings! Calibration Data Time stamp between calibrations Calibration method Slope Offset Temperature at the time of calibration Glass impedance Reference impedance
  • 26. Plug & Play Convenience Conventional approach: Field calibration with buffers  SMART approach: Cal in the lab, Plug & Play in the field Conventional sensor Field Equipment Smart Sensor Field Equipment
  • 27. Siemens Water Technologies, WI • Application: spent caustic, pH ~10-12 • pH sensor: 3500HTVP and 396PVP • User comment: “The SMART is somewhat fool proof. I do like the backward compatibility with it, because initially we had the wrong probes hooked to the wrong boards, and everything still worked. The SMART features obviously didn't, but the probes themselves all functioned fine. “
  • 28. Key Indicators of Sensor Performance Plantweb pH measurements provide a complete view of the operational parameters:  pH reading  raw sensor output  temperature  reference impedance  Glass impedance  RTD resistance
  • 29. Diagnostics - Broken Glass 3K 150 M 0-5   Broken Glass! Reference Electrode Glass Solution Electrode Ground Broken Glass Fault  pH Glass electrode normally has high impedance of 50-500 Megohm  Recommended setting of 10 Megohm will detect even hairline cracks  Glass can be cracked at the tip or further back inside the sensor (and not easily visible) 29
  • 30. Diagnostics - Coated Sensor 3K 40k 150 M   Coated Sensor! Reference Electrode Glass Solution Electrode Ground Coated Sensor Fault (Ref Z Too High)  pH Reference electrode normally has low impedance of 1-10 KilOhm  Reference coating slowly builds up around the junction  Setting of 20 KilOhm should not generally cause false alarms 30
  • 31. Diagnostics - Non-Immersed Sensor 60K 1500 M   Dry Sensor! Reference Electrode Glass Solution Electrode Ground Dry Sensor Fault (Glass Z Too High)  pH Glass electrode normally has impedance of 50-500 Megohm  When sensor is dry there is no continuity between the electrode(s) and the solution ground so impedance reading is very high  Recommended setting of 1000 Megohm will not cause false alarms 31
  • 32. More Advanced Diagnostics  pH parameters slope, reference offset, glass, and reference impedances change little over bulk of operational life.  When parameters start to change, they indicate that more frequent calibrations will be necessary.  Diagnostics are at their most powerful when they can be compared to the original properties of the sensor.  Example: a pH slope of 54 may not indicate a problem, but a sudden drop in slope from 58 to 54 may indicate a 9 month old sensor will not last much longer.  Trending the electrode slope, reference offset, and reference impedance will show the first sign of problems.
  • 33. SMART and Trending Diagnostics SMART pH sensors automatically record their ^mV/ pH 59 58.9 58.8 Max pH error per calibration cycle Change in Slope 58.7 58.6 58.5 58.4 58.3 58.2 58.1 58 57.9 57.8 57.7 57.6 57.5 57.4 57.3 initial conditions and the ^pH 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 0.1 # 0.02% # 0.03% # 0.05% # 0.07% # 0.09% # 0.10% # 0.12% # 0.14% # 0.15% # 0.17% # 0.19% # 0.21% # 0.23% # 0.24% # 0.26% # 0.28% # 0.30% 0.2 # 0.03% # 0.07% # 0.10% # 0.14% # 0.17% # 0.21% # 0.24% # 0.27% # 0.31% # 0.34% # 0.38% # 0.42% # 0.45% # 0.49% # 0.52% # 0.56% # 0.59% 0.3 # 0.05% # 0.10% # 0.15% # 0.20% # 0.26% # 0.31% # 0.36% # 0.41% # 0.46% # 0.52% # 0.57% # 0.62% # 0.68% # 0.73% # 0.78% # 0.84% # 0.89% 0.4 # 0.07% # 0.14% # 0.20% # 0.27% # 0.34% # 0.41% # 0.48% # 0.55% # 0.62% # 0.69% # 0.76% # 0.83% # 0.90% # 0.97% # 1.04% # 1.11% # 1.19% 0.5 # 0.08% # 0.17% # 0.26% # 0.34% # 0.43% # 0.51% # 0.60% # 0.69% # 0.77% # 0.86% # 0.95% # 1.04% # 1.13% # 1.22% # 1.30% # 1.39% # 1.48% last 5 calibrations to make 0.6 # 0.10% # 0.20% # 0.31% # 0.41% # 0.51% # 0.62% # 0.72% # 0.82% # 0.93% # 1.03% # 1.14% # 1.25% # 1.35% # 1.46% # 1.57% # 1.67% # 1.78% 0.7 # 0.12% # 0.24% # 0.36% # 0.48% # 0.60% # 0.72% # 0.84% # 0.96% # 1.08% # 1.21% # 1.33% # 1.45% # 1.58% # 1.70% # 1.83% # 1.95% # 2.08% 0.8 # 0.14% # 0.27% # 0.41% # 0.55% # 0.68% # 0.82% # 0.96% # 1.10% # 1.24% # 1.38% # 1.52% # 1.66% # 1.80% # 1.94% # 2.09% # 2.23% # 2.37% 0.9 # 0.15% # 0.31% # 0.46% # 0.61% # 0.77% # 0.92% # 1.08% # 1.24% # 1.39% # 1.55% # 1.71% # 1.87% # 2.03% # 2.19% # 2.35% # 2.51% # 2.67% 1 # 0.17% # 0.34% # 0.51% # 0.68% # 0.85% # 1.03% # 1.20% # 1.37% # 1.55% # 1.72% # 1.90% # 2.08% # 2.25% # 2.43% # 2.61% # 2.79% # 2.97% 1.1 # 0.19% # 0.37% # 0.56% # 0.75% # 0.94% # 1.13% # 1.32% # 1.51% # 1.70% # 1.90% # 2.09% # 2.28% # 2.48% # 2.67% # 2.87% # 3.07% # 3.26% trending easier. 1.2 1.3 1.4 1.5 1.6 # 0.20% # 0.22% # 0.24% # 0.25% # 0.27% # # # # # 0.41% # 0.61% 0.44% # 0.66% 0.48% # 0.72% 0.51% # 0.77% 0.54% # 0.82% # # # # # 0.82% 0.89% 0.96% 1.02% 1.09% # # # # # 1.03% 1.11% 1.20% 1.28% 1.37% # # # # # 1.23% 1.34% 1.44% 1.54% 1.64% # # # # # 1.44% 1.56% 1.68% 1.80% 1.92% # # # # # 1.65% 1.79% 1.92% 2.06% 2.20% # # # # # 1.86% 2.01% 2.17% 2.32% 2.48% # # # # # Beginning Slope - Ending Slope = 2.07% 2.24% 2.41% 2.59% # # # # 2.28% 2.47% Slope Change 2.66% 2.85% # # # # 2.49% 2.70% 2.91% 3.11% # # # # Slope change * Max change in pH = 2.76% # 3.04% # 3.32% # 2.70% 2.93% 3.15% 3.38% 3.60% # # # # # 2.92% 3.16% 3.40% 3.65% 3.89% # # # # # 3.13% 3.39% 3.65% 3.91% 4.17% # # # # # 3.34% 3.62% 3.90% 4.18% 4.46% # # # # # 3.56% 3.86% 4.15% 4.45% 4.75% • Predictive maintenance 1.7 # 0.29% # 0.58% # 0.87% # 1.16% # 1.45% # 1.75% # 2.04% # 2.34% # 2.63% # 2.93% # 3.23% # 3.53% # 3.83% # 4.13% # 4.43% # 4.74% # 5.04% 1.8 # 0.31% # 0.61% # 0.92% # 1.23% # 1.54% # 1.85% # 2.16% # 2.47% # 2.79% # 3.10% # 3.42% # 3.74% # 4.06% # 4.38% # 4.70% # 5.02% # 5.34% 1.9 # 0.32% # 0.65% # 0.97% # 1.30% # 1.62% # 1.95% # 2.28% # 2.61% # 2.94% # 3.28% Max mV deviation per # 3.61% # 3.94% # 4.28% # 4.62% # 4.96% # 5.30% # 5.64% 2 # 0.34% # 0.68% # 1.02% # 1.37% # 1.71% # 2.05% # 2.40% # 2.75% # 3.10% # 3.45% # 3.80% # 4.15% # 4.51% # 4.86% # 5.22% # 5.57% # 5.93% 2.1 # 0.36% # 0.71% # 1.07% # 1.43% # 1.79% # 2.16% # 2.52% # 2.89% # 3.25% # 3.62% calibration cycle # 3.99% # 4.36% # 4.73% # 5.10% # 5.48% # 5.85% # 6.23% 2.2 # 0.37% # 0.75% # 1.12% # 1.50% # 1.88% # 2.26% # 2.64% # 3.02% # 3.41% # 3.79% # 4.18% # 4.57% # 4.96% # 5.35% # 5.74% # 6.13% # 6.53% 2.3 # 0.39% # 0.78% # 1.18% # 1.57% # 1.97% # 2.36% # 2.76% # 3.16% # 3.56% # (Max mV deviation / Beginning 3.97% # 4.37% # 4.78% # 5.18% # 5.59% # 6.00% # 6.41% # 6.82% with reference Impedance 2.4 2.5 2.6 2.7 2.8 # 0.41% # 0.42% # 0.44% # 0.46% # 0.48% # # # # # 0.82% # 1.23% 0.85% # 1.28% 0.88% # 1.33% 0.92% # 1.38% 0.95% # 1.43% # # # # # 1.64% 1.71% 1.77% 1.84% 1.91% # # # # # 2.05% 2.14% 2.22% 2.31% 2.39% # # # # # 2.47% 2.57% 2.67% 2.77% 2.88% # # # # # 2.88% 3.00% 3.12% 3.24% 3.36% # # # # # 3.30% 3.44% 3.57% 3.71% 3.85% # # # # # 3.72% 3.87% 4.03% 4.18% 4.34% # # # # # 4.14% 4.31% 4.48% 4.66% 4.83% # # # # # 4.56% 4.75% 4.94% 5.13% 5.32% # # # # # 4.98% Slope) = Max pH error 5.19% 5.40% 5.61% 5.81% # # # # # 5.41% 5.63% 5.86% 6.08% 6.31% # # # # # 5.83% 6.08% 6.32% 6.56% 6.81% # # # # # 6.26% 6.52% 6.78% 7.04% 7.30% # # # # # 6.69% 6.97% 7.25% 7.53% 7.80% # # # # # 7.12% 7.42% 7.71% 8.01% 8.31% trending 2.9 # 0.49% # 0.99% # 1.48% # 1.98% # 2.48% # 2.98% # 3.48% # 3.99% # 4.49% # 5.00% # 5.51% # 6.02% # 6.53% # 7.05% # 7.57% # 8.08% # 8.60% 3 # 0.51% # 1.02% # 1.53% # 2.05% # 2.56% # 3.08% # 3.60% # 4.12% # 4.65% # 5.17% # 5.70% # 6.23% # 6.76% # 7.29% # 7.83% # 8.36% # 8.90% 3.1 # 0.53% # 1.05% # 1.58% # 2.12% # 2.65% # 3.18% # 3.72% # 4.26% # 4.80% # 5.34% # 5.89% # 6.44% # 6.98% # 7.53% # 8.09% # 8.64% # 9.20% 3.2 # 0.54% # 1.09% # 1.64% # 2.18% # 2.74% # 3.29% # 3.84% # 4.40% # 4.96% # 5.52% # 6.08% # 6.64% # 7.21% # 7.78% # 8.35% # 8.92% # 9.49% 3.3 # 0.56% # 1.12% # 1.69% # 2.25% # 2.82% # 3.39% # 3.96% # 4.54% # 5.11% # 5.69% # 6.27% # 6.85% # 7.44% # 8.02% # 8.61% # 9.20% # 9.79% • Determine optimum 3.4 # 0.58% # 1.16% # 1.74% # 2.32% # 2.91% # 3.49% # 4.08% # 4.67% # 5.27% # 5.86% # 6.46% # 7.06% # 7.66% # 8.26% # 8.87% # 9.48% # 10.09% 3.5 # 0.59% # 1.19% # 1.79% # 2.39% # 2.99% # 3.60% # 4.20% # 4.81% # 5.42% # 59mV/pH - 55mV/pH = 4mV/pH * 6pH = 6.03% # 6.65% # 7.27% # 7.89% # 8.51% # 9.13% # 9.76% # 10.38% 3.6 # 0.61% # 1.22% # 1.84% # 2.46% # 3.08% # 3.70% # 4.32% # 4.95% # 5.58% # 6.21% # 6.84% # 7.47% # 8.11% # 8.75% # 9.39% # 10.03% # 10.68% 3.7 # 0.63% # 1.26% # 1.89% # 2.53% # 3.16% # 3.80% # 4.44% # 5.09% # 5.73% # 6.38% 24mV / 59mV/pH = 0.41pH # 7.03% # 7.68% # 8.34% # 8.99% # 9.65% # 10.31% # 10.98% 3.8 # 0.65% # 1.29% # 1.94% # 2.59% # 3.25% # 3.90% # 4.56% # 5.22% # 5.89% # 6.55% # 7.22% # 7.89% # 8.56% # 9.24% # 9.91% # 10.59% # 11.27% 3.9 # 0.66% # 1.33% # 1.99% # 2.66% # 3.33% # 4.01% # 4.68% # 5.36% # 6.04% # 6.72% # 7.41% # 8.10% # 8.79% # 9.48% # 10.17% # 10.87% # 11.57% 4 # 0.68% # 1.36% # 2.04% # 2.73% # 3.42% # 4.11% # 4.80% # 5.50% # 6.20% # 6.90% # 7.60% # 8.30% # 9.01% # 9.72% # 10.43% # 11.15% # 11.87% calibration frequency and Change in Process = 1% = 2% = 3% Beginning Slope - Ending Slope = Slope Change = 4% = 5% predict probe life with pH Slope Change * Maximum Change in Process pH = Maximum pH Deviation For a typical application ranging from 4 to slope trending 10 pH the error from assuming 59 slope instead of 55 could be 0.41 pH units >>> need to recalibrate
  • 34. Using Diagnostics  Instruments ship with the diagnostics turned off  When enabled, default setpoints will generally be ok  Few false alarms when correctly configured  Some problems may not be detectable with online diagnostics  When in doubt, check with buffers
  • 35. Section 2: Modeling and Control  Virtual plant and embedded process models  Online identification of titration curve  Minimization of project capital cost  Cascade pH control  Batch pH control  Linear reagent demand control  Elimination of split range control  Model predictive control 35
  • 37. Titration Curves can Vary Weak Acid and Strong Base Strong Acid and Weak Base pka = 10 pka = 4 Slope moderated near each pKa Weak Acid and Weak Base Multiple Weak Acids and Weak Bases pKa and curve change with pka = 10 temperature! pka = 9 pka = 5 pka = 4 pka = 3 37
  • 38. Nonlinearity can cost big money pH measurement error may look smaller on the flatter portion of a titration curve but the associated reagent delivery error is larger 10 pH 4 Reagent to Feed Reagent Flow Ratio Optimum Savings Original set point set point Oscillations could be due to non-ideal mixing, control valve stick-slip. or pressure fluctuations 38
  • 39. Titration Curve Matched to Plant pH Slope 39
  • 40. Modeled pH Control System AY signal pH set point characterizer 1-3 Signal characterizers linearize loop via reagent demand control AC 1-1 LC LT 1-5 1-5 signal splitter characterizer AY Feed 1-4 AY 1-2 NaOH Acid To other Tank middle signal selector FT FT Tank 1-1 1-2 AY 1-1 AT AT AT Eductors 1-1 1-2 1-3 Static Mixer From other Tank To other Tank Downstream system 40
  • 41. Conventional vs. Reagent Demand One of many spikes of recirculation pH spikes from stick-slip of water valve Influent pH Tank 1 pH for Reagent Demand Control Tank 1 pH for Conventional pH Control Start of Step 4 (Slow Rinses) Start of Step 2 (Regeneration) 41
  • 42. Traditional System for Minimum Variability The period of oscillation (4 x process dead time) and filter time (process residence time) is proportional to volume. To prevent Reagent resonance of oscillations, different vessel volumes are used. Major overlooked Reagent Reagent problem is reagent Deliver delay from dip tube design Feed Small first tank provides a faster response and oscillation that is more effectively filtered Big footprint by the larger tanks downstream and high cost! 42
  • 43. Traditional System for Minimum Reagent Use Reagent The period of oscillation (total loop dead time) must differ by more than factor of 5 to prevent resonance (amplification of oscillations) Feed Reagent Reagent Big footprint and high cost! The large first tank offers more cross neutralization of influents 43
  • 44. Tight pH Control with Minimum Capital IL#1 – Interlock that prevents back fill of reagent piping when control valve closes IL#2 – Interlock that shuts off effluent flow until vessel pH is projected to be within control band Eductor High Recirculation Flow Reagent Any Old Tank Signal Characterizer LC LT 1-3 1-3 *IL#2 f(x) FT 1-1 Effluent AC 1-1 FC 1-2 AT 1-1 *IL#1 Influent FT 1-2 10 to 20 pipe diameters 44
  • 45. Linear Reagent Demand Control  Signal characterizer converts PV and SP from pH to % Reagent Demand – PV is abscissa of the titration curve scaled 0 to 100% reagent demand – Piecewise segment fit normally used to go from ordinate to abscissa of curve – Fieldbus block offers 21 custom space X,Y pairs (X is pH and Y is % demand) – Closer spacing of X,Y pairs in control region provides most needed compensation – If neural network or polynomial fit used, beware of bumps and wild extrapolation  Special configuration is needed to provide operations with interface to: – See loop PV in pH and signal to final element – Enter loop SP in pH – Change mode to manual and change manual output  Set point on steep part of curve shows biggest improvements from: – Reduction in limit cycle amplitude seen from pH nonlinearity – Decrease in limit cycle frequency from final element resolution (e.g. stick-slip) – Decrease in crossing of split range point – Reduced reaction to measurement noise – Shorter startup time (loop sees real distance to set point and is not detuned) – Simplified tuning (process gain no longer depends upon titration curve slope) – Restored process time constant (slower pH excursion from disturbance) 45
  • 46. Cascade Control to Reduce Downstream Offset Linear Reagent Demand Controller Flow Feedforward FT 1-1 RSP FC AC Trim of Inline 1-1 Sum Set Point 1-1 Reagent AT f(x) Filter f(x) 1-1 FT Static Mixer PV signal 1-2 SP signal Characterizer characterizer Feed Coriolis Mass 10 to 20 Flow Meter pipe diameters M AC 1-2 Any Old Tank Enhanced PID Controller AT 1-2 46
  • 47. Full Throttle Batch pH Control Batch pH End Point Predicted pH Reagent Cutoff Sum Rate of Projected Past Change DpH New pH DpH DpH/Dt Sub Div Mul Old pH Delay Dt Total System Dead Time Batch Reactor Filter AT 1-1 10 to 20 pipe diameters Section 3-5 in New Directions in Bioprocess Modeling and Control shows how this strategy is used as a head start for a PID controller 47
  • 48. Linear Reagent Demand Batch pH Control FQ FT Secondary pH 1-1 1-1 PI Controller AC FC 1-1 1-1 Influent #1 AT Online Curve 1-1 Identification Static Mixer 10 to 20 pipe FT diameters 1-2 Influent #2 AC f(x) 1-1 Batch Reactor Signal Master Reagent Demand Characterizer Adaptive PID Controller AT Uses Online 1-1 Titration Curve 10 to 20 Reduces injection and mixing delays and enables some cross pipe neutralization of swings between acidic and basic influent. It is diameters suitable for continuous control as well as fed-batch operation. 48
  • 49. Conventional Fine and Coarse Valve Control Large Small (Coarse) (Fine) ZC CV 1-1 Integral only Controller (CV is Implied Fine Control Valve Position) Neutralizer AC ZC speed of response must 1-1 be slow and tuning is difficult Must add feedforward for fast and large influent disturbance PID Controller AT 1-1 49
  • 50. Advanced Fine and Coarse Valve Control manipulated variables Small (Fine) Large (Coarse) MPC Reagent Valve SP Reagent Valve SP controlled variable Small (Fine) null Reagent Valve SP controlled variable Neutralizer pH PV Model Predictive Controller (MPC) setup for rapid simultaneous throttling of a fine and coarse control valves that addresses both the rangeability and resolution issues. This MPC can possibly reduce the number of stages of neutralization needed 50