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A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of
           Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                        Vol. 2, Issue5, September- October 2012, pp.1663-1667

       Simplified Thermocouple Interface For Hot Only Or Cold Only
                  Measurement With Linearization Circuit
          A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan,S.S.S.Srikanth
                         A
                         gitam UNIVERSITY, RUSHIKONDA ,VISHAKAPATNAM INDIA
             B
              aditya INSTITUTE OF TECHNOLOGY AND MANAGEMENT, TEKKALI,SRIKAKULAM
                                                INDIA
                        C
                         gitam UNIVERSITY, RUSHIKONDA ,VISHAKAPATNAM INDIA


     ABSTRACT:
              This paper presents the simplified             sensors directly compatible with computer inputs
     thermocouple interface with linearization circuit.      are emerging. Nevertheless, measurement is an
     Thermocouples are widely used temperature               inexact science requiring the use of reference
     sensors because of their ruggedness and broad           standards and an understanding of the energy
     temperature range. Two dissimilar metals are            translations involved more directly as the need for
     used in the Seebeck-effect temperature-to-emf           accuracy increases. This paper presents the
     junction with transfer relationships. The               simplified thermocouple interface with linearization
     widespread use of microelectronics and                  circuit. Thermocouples are widely used temperature
     computers is having a profound effect on the            sensors because of their ruggedness and broad
     design of sensor systems. Signal processing             temperature range. Two dissimilar metals are used
     functions increasingly are being integrated             in the Seebeck-effect temperature-to-emf junction
     within sensors, and digital-type sensors directly       with transfer relationships
     compatible with computer inputs are emerging.
     Here in this paper a novel linearization technique      Thermocouples are the simplest form of temperature
     is applied to the j type thermocouple for a better      sensors. Thermocouples are normally:
     linearized out put.                                     • Very inexpensive
                                                             • Easily manufactured
     KEYWORDS:-Thermocouples; microelectronics;              • Effective over a wide range of temperatures
     linearization techniques; gain, scaling; seeback-       All thermocouple systems share the basic
     effect; slope; intercept.                               characteristic components shown in Figure 1.

     Contents
     1.        Introduction                    2
     1.1       Absolute Temperature Scaling         3
     2.        Pure Analog Circuit                   3
     3.        Simplified Digital Circuit           4
     4.        Hot Only Or Cold Only Measurement 5
     4.1       Fault Detection              5
     5.        Linearization                 5
     5.1       linearization techniques      6
     5.2       Linear Approximation          6
     6.        Results                    7
Results of the J Thermocouple (With Out Linearization) 7
Results of the J Thermocouple (With Linearization) 8
     7.        Conclusion                    9
     8.        References                   10

     1. INTRODUCTION:
               Modern technology leans heavily on the                  The thermocouple must pass through an
     science of measurement. The control of industrial       isothermal barrier so the absolute temperature of the
     processes and automated systems would be very           cold junction can be determined. Ideally, the
     difficult without accurate sensor measurements. The     amplifier should be placed as close as possible to
     widespread use of microelectronics and computers        this barrier so there is no drop in temperature across
     is having a profound effect on the design of sensor     the traces that connect the thermocouple to the
     systems. Signal processing functions increasingly       amplifier. The amplifier should have enough gain to
     are being integrated within sensors, and digital-type   cover the required temperature range of the


                                                                                                  1663 | P a g e
A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of
     Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue5, September- October 2012, pp.1663-1667
thermocouple. When the thermocouple will be              This implementation cannot be used with a
measuring colder temperatures than ambient               grounded thermocouple. The bias network that
temperatures, there are three options:                   biases the thermocouple to 2.5V contains a
1. Use an Op Amp that operates below the negative        thermistor. The thermistor adjusts the bias voltage
supply.                                                  making the thermocouple voltage track the absolute
2. Bias the thermocouple to operate within the Op        voltage. Both the thermistor and the thermocouple
Amp's supply.                                            are non-linear devices, so a linearization system
3. Provide a negative supply.                            would have to be created that takes both curves into
Some thermocouples are electrically connected to         account.
the device they are measuring. When this is the case,
make sure that the voltage of the device is within the   3. SIMPLIFIED DIGITAL CIRCUIT
Common mode range of the Op Amp. The most                        Most analog problems can be converted to
common case is found in thermocouples that are           a digital problem and thermocouples are no
grounded. In this case, option 2 is not appropriate      exception. If an analog-to-digital converter (ADC)
because it will force a short circuit across the         were placed at the end of the analog solution shown
thermocouple to ground.                                  in Figure 2, the result would be a simple digital
                                                         thermometer (at least the software would be simple).
1.1 ABSOLUTE TEMPERATURE SCALING                         However, the analog/linear circuitry could be made
         Thermocouples are relative measuring            less expensive to build and calibrate by adding a
devices. In other words, they measure the                microcontroller.
temperature difference between two thermal
regions. Some applications are only interested in                 As you can see, the circuit got a lot simpler
this thermal difference, but most applications           (see Figure3). This system still uses a thermistor for
require the absolute temperature of the device under     the absolute temperature reference, but the
test. The absolute temperature can be easily found       thermistor does not affect the thermocouple circuit.
by adding the thermocouple temperature to the            This makes the thermocouple circuit much simpler.
absolute temperature of one end of the
thermocouple. This can be done at any point in the
thermocouple circuit. Figure 1 shows the scaling
occurring after the linearization.

2. PURE ANALOG CIRCUIT
         A pure analog solution to measuring
temperatures with a thermocouple is shown in
Figure 2. In the analog solution, the thermocouple is
biased up 2.5V. This allows the thermocouple to be
used to measure temperatures hotter and colder than
the isothermal block.




                                                         4.HOT ONLY                OR      COLD       ONLY
                                                         MEASUREMENT
                                                                  If the application can only measure hot or
                                                         cold objects, the circuit gets even simpler (see
                                                         Figure 4). If only one direction is going to be used
                                                         in an application, a simple difference amplifier can
                                                         be used. The minimum temperature that can be
                                                         measured depends on the quality of the Op Amp. If
                                                         a good single supply, rail-rail Op Amp is used, the
                                                         input voltage can approach 0V and temperature
                                                         differences of nearly 0 degrees can be measured. To
                                                         switch from hot to cold measurement, the polarity of
                                                         the thermocouple wires could be switched.




                                                                                              1664 | P a g e
A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of
     Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue5, September- October 2012, pp.1663-1667
                                                         to what degree, linearization is critical to the
                                                         application.

                                                         5.1 LINEARIZATION TECHNIQUES
                                                                   Thermocouple applications must convert
                                                         the voltage output from a thermocouple into the
                                                         temperature across the thermocouple. This voltage
                                                         response is not linear and it is not the same for each
                                                         type of thermocouple. Figure 5 shows a rough
                                                         approximation of the family of thermocouple
                                                         transfer functions.




4.1 FAULT DETECTION
          When thermocouples are used in
automotive or aerospace applications, some sort of
FAULT detection is required since a life may be
depending on the correct performance of the
thermocouple. Thermocouples have a few possible
failure modes that must be considered when the
design is developed:
1. Thermocouple wire is brittle and easily broken in
high vibration environments.
2. A short circuit in a thermocouple wire looks like a
new thermocouple and will report the temperature of
the short.
3. A short to power or ground can saturate the high
gain amplifiers and cause an erroneous hot or cold
reading.

5. LINEARIZATION                                         5.2 LINEAR APPROXIMATION
          Linearization is the task of conversion that             The simplest method of converting the
produces a linear output, or result, corresponding to    thermocouple voltage to a temperature is by linear
a linear change in the input. Thermocouples are not      approximation. This is simply picking a line that
inherently linear devices, but there are two cases       best approximates the voltage-temperature curve for
when linearity can be assumed:                           the appropriate temperature range. For some
1. When the active range is very small.                  thermocouples, this range is quite large. For others,
2. When the required accuracy is low.                    this is very small. The range can be extended if the
          Pilot lights in water heaters for example,     accuracy requirement is low. J and K thermocouples
are typically monitored by thermocouples. No             can be linearly approximated over their positive
special electronics is required for this application,    temperature range with a 30 degree error. For many
because the only accuracy required is the ability to     applications this is acceptable, but to achieve a
detect a 600 degree increase in temperature when         better response other techniques are required.
the fire is lit. A fever thermometer on the other
hand, is an application where the active range is                  This circuit changes the gain of op-amp
very small (90° F - 105° F). If the temperature gets     U1B in four steps or segments. It can be used to get
higher than the effective range, either the              a linear output from most transducers to 1%
thermometer is not being used correctly, or the          levels.U1A is a amplifying buffer use it to boost the
patient needs to be in the hospital.                     signal to the required level. The resistor values are
                                                         for an imaginary transducer, the buffered input
          There are many ways to linearize the           signal is compared to reference switching points by
thermocouple results. Figure 1 shows linearization       LM339. LM339 changes the gain resistors of U1B
following the gain stage. Sometimes, the                 thru the mux switch 4066. JP1 to JP4 can select
linearization follows the addition of the absolute       either amplification or attenuation of signal.
temperature reference. No matter where it occurs, or




                                                                                              1665 | P a g e
A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of
     Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue5, September- October 2012, pp.1663-1667




                                                      Graphical representation of the J type thermocouple
         The resistor switched by 4066 can be         (with out linearization)
across R1 or R2 based on JP1 to JP4. You may have                                                    Type J Thermocouple Linearization
to input transducer values into a spreadsheet and                           30
draw a graph. Then divide the graph into 5 segments
and deduce the switch points and gain.                                                                                                               x
                                                                            25
6. RESULTS OF THE J THERMOCOUPLE                                                                                                                x
(WITH OUT LINEARIZATION)
                                                                            20                                                            x
Type J Thermocouple
                                                          Output emf (mV)




SI.NO             Y OF        X mV                                                                                                x
1                 32          0.000
                                                                            15
2                 100         1.942                                                                                       x
3                 200         4.907
4                 300         7.949                                                                              x
                                                                            10
5                 400         11.025
                                                                                                         x
6                 500         14.110
7                 600         17.188                                        5                   x
8                 700         20.255
9                 800         23.320                                                      x

10                900         26.400                                        0        x
                                                                                 0       100   200      300    400      500     600      700   800   900
Y: true temperature ;  X: thermocouple signal                                                         Temperature (degrees fahrenheit)
;



                                                                                                                       1666 | P a g e
A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of
                                           Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                                                        Vol. 2, Issue5, September- October 2012, pp.1663-1667
                                     6.1 RESULTS OF THE J THERMOCOUPLE                                            thirds of full scale with the (0.028 mV/T)'1
                                     (WITH LINEARIZATION)                                                         thermocouple output signal slope and 32°F
                                     Type J Thermocouple linearization:                                           intercept. Solution of the identity of equation
                                     SI.NO        Y OF      X mV        yO F     Є%                               provides the linearized output temperature whose
                                                                                 FS                               values are tabulated in Table. A figure without
                                     1            32        0           32.0     0                                linearization and with linearization describes the
                                     2            100       1.942       97.6                                      linearized thermocouple characteristic. The reader
                                                                                 -2.4                             should compare these results to linearization choices
                                     3            200       4.906       197.1    -1.45                            of 200°F and 600°F.Thus the above paper has
                                     4            300       7.947       298.3    -0.56                            solved the problem of j type thermocouple
                                     5            400       11.023      400.0    0                                linearization.
                                     6            500       14.108      501.0      0.2
                                     7            600       17.186      601.0        0.17                         REFERENCES:
                                     8            700       20.253      699.9    0                                  [1]    W. D. Cooper, Electronic Instrumentation
                                     9            800       23.317      797.1    -0.36                                     and Measurement Techniques (Englewood
                                     10           900       26.369      895.3    -0.56                                     Cliffs, N.J.: Prentice-Hall, 1970).
                                     Where,                                                                         [2]    M. F. Hordeski, Design of Microprocessor
                                     Y: true temperature ;         X: thermocouple signal                                  Sensor and Control Systems (Reston, Va,
                                     ;      y: linearized temperature                                                      Reston Publishing Co., 1985).
                                                                                                                    [3]    K. Fowler and J. Schmalzel, ―Sensors: The
                                     Slope: 35.71°F/mV                                                                     first stage in the measurement chain,’’
                                     Intercept: 32°F                                                                       IEEE Instrum. Meas. Mag., vol. 7, no. 3,
                                     y = slope • X + intercept - slope • f(X)                                              pp.60–66, Sept. 2004.
                                                                                                                    [4]    D. Potter, ―Measuring temperature with
                                                Graphical representation of the linearized                                 thermocouples—Atutorial,‖             Nat.
                                     output of the J type thermocouple                                                     Instruments Applicat. Note 043, Nov.
                                                                                                                           1996.
                                                                                                                    [5]    R.J. Moffat, ―The gradient approach to
                                                      Type J Thermocouple Linearization                                    thermocouple circuitry,‖ General Motors
                  30                                                                                                       Research Laboratories Publication GMR-
                                                                                                                           328,Mar. 1961, pp. 27–31.
                                                                                                            x
                                                                                                                    [6]    B. W. Magnum, ―Reproducibility of the
                  25
                                                                                                                           temperature of the ice point in routine
                                                                                                                           measurements,‖Nat. Inst. Stand. Technol.,
                                                                                                       x
                                                                                                                           Gaithersburg, MD,NIST Tech. Note 1411,
                                                                                                                           1995.
                  20                                                                             x
Output emf (mV)




                                                                                           x


                  15
                                                                              x



                                                               x
                  10

                                                 x



                  5                       x



                                x

                  0        x
                       0       100       200    300          400            500           600   700   800   900
                                                       Temperature (degrees fahrenheit)




                                     7. CONCLUSION:
                                               A Type-J thermocouple is linearized to a
                                     straight-line response over a 100°F to l,000°F range
                                     by the Quadratic linearization function AX + BX2.
                                     Trial coefficients are solved at one third and two-



                                                                                                                                                      1667 | P a g e

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  • 1. A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue5, September- October 2012, pp.1663-1667 Simplified Thermocouple Interface For Hot Only Or Cold Only Measurement With Linearization Circuit A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan,S.S.S.Srikanth A gitam UNIVERSITY, RUSHIKONDA ,VISHAKAPATNAM INDIA B aditya INSTITUTE OF TECHNOLOGY AND MANAGEMENT, TEKKALI,SRIKAKULAM INDIA C gitam UNIVERSITY, RUSHIKONDA ,VISHAKAPATNAM INDIA ABSTRACT: This paper presents the simplified sensors directly compatible with computer inputs thermocouple interface with linearization circuit. are emerging. Nevertheless, measurement is an Thermocouples are widely used temperature inexact science requiring the use of reference sensors because of their ruggedness and broad standards and an understanding of the energy temperature range. Two dissimilar metals are translations involved more directly as the need for used in the Seebeck-effect temperature-to-emf accuracy increases. This paper presents the junction with transfer relationships. The simplified thermocouple interface with linearization widespread use of microelectronics and circuit. Thermocouples are widely used temperature computers is having a profound effect on the sensors because of their ruggedness and broad design of sensor systems. Signal processing temperature range. Two dissimilar metals are used functions increasingly are being integrated in the Seebeck-effect temperature-to-emf junction within sensors, and digital-type sensors directly with transfer relationships compatible with computer inputs are emerging. Here in this paper a novel linearization technique Thermocouples are the simplest form of temperature is applied to the j type thermocouple for a better sensors. Thermocouples are normally: linearized out put. • Very inexpensive • Easily manufactured KEYWORDS:-Thermocouples; microelectronics; • Effective over a wide range of temperatures linearization techniques; gain, scaling; seeback- All thermocouple systems share the basic effect; slope; intercept. characteristic components shown in Figure 1. Contents 1. Introduction 2 1.1 Absolute Temperature Scaling 3 2. Pure Analog Circuit 3 3. Simplified Digital Circuit 4 4. Hot Only Or Cold Only Measurement 5 4.1 Fault Detection 5 5. Linearization 5 5.1 linearization techniques 6 5.2 Linear Approximation 6 6. Results 7 Results of the J Thermocouple (With Out Linearization) 7 Results of the J Thermocouple (With Linearization) 8 7. Conclusion 9 8. References 10 1. INTRODUCTION: Modern technology leans heavily on the The thermocouple must pass through an science of measurement. The control of industrial isothermal barrier so the absolute temperature of the processes and automated systems would be very cold junction can be determined. Ideally, the difficult without accurate sensor measurements. The amplifier should be placed as close as possible to widespread use of microelectronics and computers this barrier so there is no drop in temperature across is having a profound effect on the design of sensor the traces that connect the thermocouple to the systems. Signal processing functions increasingly amplifier. The amplifier should have enough gain to are being integrated within sensors, and digital-type cover the required temperature range of the 1663 | P a g e
  • 2. A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue5, September- October 2012, pp.1663-1667 thermocouple. When the thermocouple will be This implementation cannot be used with a measuring colder temperatures than ambient grounded thermocouple. The bias network that temperatures, there are three options: biases the thermocouple to 2.5V contains a 1. Use an Op Amp that operates below the negative thermistor. The thermistor adjusts the bias voltage supply. making the thermocouple voltage track the absolute 2. Bias the thermocouple to operate within the Op voltage. Both the thermistor and the thermocouple Amp's supply. are non-linear devices, so a linearization system 3. Provide a negative supply. would have to be created that takes both curves into Some thermocouples are electrically connected to account. the device they are measuring. When this is the case, make sure that the voltage of the device is within the 3. SIMPLIFIED DIGITAL CIRCUIT Common mode range of the Op Amp. The most Most analog problems can be converted to common case is found in thermocouples that are a digital problem and thermocouples are no grounded. In this case, option 2 is not appropriate exception. If an analog-to-digital converter (ADC) because it will force a short circuit across the were placed at the end of the analog solution shown thermocouple to ground. in Figure 2, the result would be a simple digital thermometer (at least the software would be simple). 1.1 ABSOLUTE TEMPERATURE SCALING However, the analog/linear circuitry could be made Thermocouples are relative measuring less expensive to build and calibrate by adding a devices. In other words, they measure the microcontroller. temperature difference between two thermal regions. Some applications are only interested in As you can see, the circuit got a lot simpler this thermal difference, but most applications (see Figure3). This system still uses a thermistor for require the absolute temperature of the device under the absolute temperature reference, but the test. The absolute temperature can be easily found thermistor does not affect the thermocouple circuit. by adding the thermocouple temperature to the This makes the thermocouple circuit much simpler. absolute temperature of one end of the thermocouple. This can be done at any point in the thermocouple circuit. Figure 1 shows the scaling occurring after the linearization. 2. PURE ANALOG CIRCUIT A pure analog solution to measuring temperatures with a thermocouple is shown in Figure 2. In the analog solution, the thermocouple is biased up 2.5V. This allows the thermocouple to be used to measure temperatures hotter and colder than the isothermal block. 4.HOT ONLY OR COLD ONLY MEASUREMENT If the application can only measure hot or cold objects, the circuit gets even simpler (see Figure 4). If only one direction is going to be used in an application, a simple difference amplifier can be used. The minimum temperature that can be measured depends on the quality of the Op Amp. If a good single supply, rail-rail Op Amp is used, the input voltage can approach 0V and temperature differences of nearly 0 degrees can be measured. To switch from hot to cold measurement, the polarity of the thermocouple wires could be switched. 1664 | P a g e
  • 3. A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue5, September- October 2012, pp.1663-1667 to what degree, linearization is critical to the application. 5.1 LINEARIZATION TECHNIQUES Thermocouple applications must convert the voltage output from a thermocouple into the temperature across the thermocouple. This voltage response is not linear and it is not the same for each type of thermocouple. Figure 5 shows a rough approximation of the family of thermocouple transfer functions. 4.1 FAULT DETECTION When thermocouples are used in automotive or aerospace applications, some sort of FAULT detection is required since a life may be depending on the correct performance of the thermocouple. Thermocouples have a few possible failure modes that must be considered when the design is developed: 1. Thermocouple wire is brittle and easily broken in high vibration environments. 2. A short circuit in a thermocouple wire looks like a new thermocouple and will report the temperature of the short. 3. A short to power or ground can saturate the high gain amplifiers and cause an erroneous hot or cold reading. 5. LINEARIZATION 5.2 LINEAR APPROXIMATION Linearization is the task of conversion that The simplest method of converting the produces a linear output, or result, corresponding to thermocouple voltage to a temperature is by linear a linear change in the input. Thermocouples are not approximation. This is simply picking a line that inherently linear devices, but there are two cases best approximates the voltage-temperature curve for when linearity can be assumed: the appropriate temperature range. For some 1. When the active range is very small. thermocouples, this range is quite large. For others, 2. When the required accuracy is low. this is very small. The range can be extended if the Pilot lights in water heaters for example, accuracy requirement is low. J and K thermocouples are typically monitored by thermocouples. No can be linearly approximated over their positive special electronics is required for this application, temperature range with a 30 degree error. For many because the only accuracy required is the ability to applications this is acceptable, but to achieve a detect a 600 degree increase in temperature when better response other techniques are required. the fire is lit. A fever thermometer on the other hand, is an application where the active range is This circuit changes the gain of op-amp very small (90° F - 105° F). If the temperature gets U1B in four steps or segments. It can be used to get higher than the effective range, either the a linear output from most transducers to 1% thermometer is not being used correctly, or the levels.U1A is a amplifying buffer use it to boost the patient needs to be in the hospital. signal to the required level. The resistor values are for an imaginary transducer, the buffered input There are many ways to linearize the signal is compared to reference switching points by thermocouple results. Figure 1 shows linearization LM339. LM339 changes the gain resistors of U1B following the gain stage. Sometimes, the thru the mux switch 4066. JP1 to JP4 can select linearization follows the addition of the absolute either amplification or attenuation of signal. temperature reference. No matter where it occurs, or 1665 | P a g e
  • 4. A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue5, September- October 2012, pp.1663-1667 Graphical representation of the J type thermocouple The resistor switched by 4066 can be (with out linearization) across R1 or R2 based on JP1 to JP4. You may have Type J Thermocouple Linearization to input transducer values into a spreadsheet and 30 draw a graph. Then divide the graph into 5 segments and deduce the switch points and gain. x 25 6. RESULTS OF THE J THERMOCOUPLE x (WITH OUT LINEARIZATION) 20 x Type J Thermocouple Output emf (mV) SI.NO Y OF X mV x 1 32 0.000 15 2 100 1.942 x 3 200 4.907 4 300 7.949 x 10 5 400 11.025 x 6 500 14.110 7 600 17.188 5 x 8 700 20.255 9 800 23.320 x 10 900 26.400 0 x 0 100 200 300 400 500 600 700 800 900 Y: true temperature ; X: thermocouple signal Temperature (degrees fahrenheit) ; 1666 | P a g e
  • 5. A,Venkata Naga Vamsi, G.S.S.S.S.V.Krishna Mohan, S.S.S.Srikanth / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue5, September- October 2012, pp.1663-1667 6.1 RESULTS OF THE J THERMOCOUPLE thirds of full scale with the (0.028 mV/T)'1 (WITH LINEARIZATION) thermocouple output signal slope and 32°F Type J Thermocouple linearization: intercept. Solution of the identity of equation SI.NO Y OF X mV yO F Є% provides the linearized output temperature whose FS values are tabulated in Table. A figure without 1 32 0 32.0 0 linearization and with linearization describes the 2 100 1.942 97.6 linearized thermocouple characteristic. The reader -2.4 should compare these results to linearization choices 3 200 4.906 197.1 -1.45 of 200°F and 600°F.Thus the above paper has 4 300 7.947 298.3 -0.56 solved the problem of j type thermocouple 5 400 11.023 400.0 0 linearization. 6 500 14.108 501.0 0.2 7 600 17.186 601.0 0.17 REFERENCES: 8 700 20.253 699.9 0 [1] W. D. Cooper, Electronic Instrumentation 9 800 23.317 797.1 -0.36 and Measurement Techniques (Englewood 10 900 26.369 895.3 -0.56 Cliffs, N.J.: Prentice-Hall, 1970). Where, [2] M. F. Hordeski, Design of Microprocessor Y: true temperature ; X: thermocouple signal Sensor and Control Systems (Reston, Va, ; y: linearized temperature Reston Publishing Co., 1985). [3] K. Fowler and J. Schmalzel, ―Sensors: The Slope: 35.71°F/mV first stage in the measurement chain,’’ Intercept: 32°F IEEE Instrum. Meas. Mag., vol. 7, no. 3, y = slope • X + intercept - slope • f(X) pp.60–66, Sept. 2004. [4] D. Potter, ―Measuring temperature with Graphical representation of the linearized thermocouples—Atutorial,‖ Nat. output of the J type thermocouple Instruments Applicat. Note 043, Nov. 1996. [5] R.J. Moffat, ―The gradient approach to Type J Thermocouple Linearization thermocouple circuitry,‖ General Motors 30 Research Laboratories Publication GMR- 328,Mar. 1961, pp. 27–31. x [6] B. W. Magnum, ―Reproducibility of the 25 temperature of the ice point in routine measurements,‖Nat. Inst. Stand. Technol., x Gaithersburg, MD,NIST Tech. Note 1411, 1995. 20 x Output emf (mV) x 15 x x 10 x 5 x x 0 x 0 100 200 300 400 500 600 700 800 900 Temperature (degrees fahrenheit) 7. CONCLUSION: A Type-J thermocouple is linearized to a straight-line response over a 100°F to l,000°F range by the Quadratic linearization function AX + BX2. Trial coefficients are solved at one third and two- 1667 | P a g e