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DC Drive Systems

 Pekik Argo Dahono
DC Drive System
Block Diagram of DC Drives
                                                          ~                                                Tl (s )
                                                          Ed ( s )

                                  α (s)                          _                                                _
                                               vD (s )                                  I a (s ) Te (s)
ωr (s ) +                                          +                            1                   +                  1   ω (s )
                ∑       Gω (s )           Ed                 ∑               Ra + sLa
                                                                                              Kφ              ∑       sJ
            _                                            _
                                                                  Ea (s )
                                                                                            Kφ




                    ω (s ) =
                                               (ω G      ω ( s ) Ed         / JLa   )              ω ref ( s )
                                                              (                                )
                                                  o

                               s + sα + ω + ωo Gω ( s ) Ed / JLa
                                  2                   2
                                                      o

                                                             ωo / JLa                                  ~
                           −
                                                                  (
                                  s 2 + sα + ωo + ωo Gω ( s ) Ed / JLa
                                              2
                                                                                                   )   Ed ( s )


                          −
                                                          (s + α ) / J
                                                               (
                               s + sα + ω + ωo Gω ( s ) Ed / JLa
                                  2                   2
                                                      o                                        )   Tl ( s )
Single-Quadrant DC-DC Converter
                • The switching device is
                  MOSFET for low-power,
                  IGBT for medium power,
                  and GTO for high power
                  applications.
                • Single-quadrant is
                  adequate when fast
                  speed reversal and
                  regenerative braking are
                  not required.
                • Carrier signal is unipolar.
Two-Quadrant DC-DC Converter
              • Regenerative braking is
                possible.
              • If the source cannot
                accept the regenerated
                energy, the energy can
                be absorbed by a resistor
                that is connected in the
                dc side.
              • Carrier signal is unipolar.
              • This system is suitable for
                electric vehicles.
Four-Quadrant
       • Both output voltage
         and current are
         bidirectional.
       • Two splitting
         capacitors are
         required.
       • Carrier signal must be
         bipolar.
Four-Quadrant DC-DC Converter
                D1        D3
           S1        vo         S3   Suitable for robotic and machine
                     M               tools
Ed        S2                    S4
                D2        D4



     S1         S2             S3          S4            Vo
     ON         OFF            ON         OFF             0
     ON         OFF            OFF        ON             Ed
     OFF        ON             ON         OFF            -Ed
     ON         OFF            ON         OFF             0
Operating Principles of
                   DC-DC Converters
     id                    iL                       di L
                       R             v D = Ri L + L      + vo
          S                 L                       dt
                                vo
Ed            D   vD                 0 ≤ t < TON
                                     vD = Ed
                                                    di L
     id                R
                           iL        E d = Ri L + L      + vo
                                                    dt
          S                 L
                                vo   TON ≤ t < Ts
Ed            D   vD
                                     vD = 0
                                                  di L
                                     0 = Ri L + L      + vo
          TON
     vD =     E d = αE d                          dt
           Ts
Operating Principles
    Ed                                          Ed
                                  T                                          vo
    vD                        vD = ON Ed       vD
                                   Ts
      0                                             0
                                                        TON   α1Ts   α 2Ts
           TON

                 Ts                                           Ts


E d − vo                                   E d − vo
     vL                                         vL
     −vo                                       − vo



                                               iL
                                                    0
     iL




      id

                          v D = αE d
                                                        v D ≠ αE d
            Continuous mode                             Discontinuous mode
Continuous Conduction Mode
• The converter can be modeled as a variable dc voltage
  source or as a dc voltage amplifier.
• The gain of amplifier is equal to the dc voltage source
  and the input signal is equal to the duty factor signal or
  equal to reference signal (if the amplitude of the carrier
  signal is equal to unity).
• In single-quadrant chopper, both output voltage and
  current cannot be negative.
• In two-quadrant chopper, the output voltage cannot be
  negative but the output current is bidirectional.
• In four-quadrant chopper, both output voltage and
  current are bidirectional.
• Nonidealities of amplifier can be represented as
  disturbance signal.
Single-Phase Fully-Controlled AC-DC Converter

                             io                    vs
                                              is

              T1   T3        Ld                                                    ωt
         is
                                                   vo
     +                                    α
                                              io
vs                      vo        R
                                      0
                                                        π          2π              ωt


                                              T1 & T 4        T2 &T3


              T2   T4
                                                                   2 2
                                                            vo =           cos α
                                                                       π
Three-Phase AC-DC Converter
                               α   vun       vvn   vwn




                           0             π               2π   ωt




                          vd



                                                               ωt




                          iu
        3 2
 vd =         Vll cos α
        π
Four-Quadrant AC-DC Converter




Converter can be operated in either circulating or noncirculating current modes.
Continuous Conduction Mode
• Under continuous conduction mode, the
  converter can be considered as a variable
  dc voltage source.
• The output of dc voltage source is
  proportional to the cosinus of firing angle.
• In fully controlled rectifiers, the output
  voltage is bidirectional but the output
  current is unidirectional.
• In four-quadrant rectifier, both output
  voltage and current are bidirectional.
Current/Torque Controlled DC
       Drive Systems
Advantages Current-Controlled DC Drives

• Short-circuit protection can be done
  inherently.
• The design of speed controller is easy
• The response is faster
• The torque is proportional to the armature
  current.
Current-Controlled DC Drives
Block diagram of DC drive using
                      current-controlled converter
                                                       ~                                              Tl (s )
                                                       Ed ( s )

                                α (s)                          _                                            _
                                             vD (s )                                I a (s ) Te (s)
ωr (s ) +                                        +                          1                   +                1   ω (s )
                ∑     Gω (s )           Ed                 ∑             Ra + sLa
                                                                                          Kφ           ∑        sJ
            _                                          _
                                                               Ea (s )
                                                                                        Kφ


                                                           Voltage-controlled




                                                               Current-Controlled
Block Diagrams



I a (s) =
               Gc ( s ) Ed
          sLa + Ra + Gc ( s ) Ed
                                 I a (s) −
                                   ref              1
                                           sLa + Ra + Gc ( s ) Ed
                                                                    [        ~
                                                                  Ea ( s ) + Ed ( s )   ]




                Gω ( s ) KΦ                   1
    ω (s) =                    ωr (s) −                  Tl ( s )
              sJ + Gω ( s ) KΦ          sJ + Gω ( s ) KΦ
Current-Controlled DC-DC Converters

• Hysteresis current controller
• Carrier based current controller
• Predictive controller
Hysteresis current controller




     IF ia > ia + h THEN S1 = OFF AND S2 = ON
              ref


     IF ia < ia − h THEN S1 = ON AND S2 = OFF
              ref
Simulated Result
Analysis
                                            0 → TON
                 dia                                        ~
                                            vD = Ed         ia : −h → h
v D = Ra ia + La     + ea
                 dt                         2h =
                                                   (1 − α )Ed T
                                                                  ON
          ~                                            La
ia = ia + ia                                            2hLa
             ~                              TON =
v =v +v
 D      D       D                                    (1 − α )Ed
                                            0 → TOFF
v D = Ra i a + e a = α E d                               ~
                                            vD = 0       ia : h → −h
                     ~          ~
~        ~         d ia        d ia                  − αE d
v D = Ra ia + La         ≈ La               − 2h =
                                                       La
                                                            TOFF
                    dt         dt
                                                      2hLa
                                            TOFF =
~
ia =
      1 ~
            ∫
            v D dt =
                      1
                         ∫ (v D − v D )dt             αE d
     La               La                    Ts = TON + TOFF            f s = 1 / Ts =
                                                                                         Ed
                                                                                             (1 − α )α
                                                                                        2hLa
Carrier based current controller
                                                        S1
                                                                        Ia
                                                                               Ra    La
                                          Ed


                                                         S2                                     ea




         Ia +
          ref
                          Current
                          Regulator
                  −




                                                                    ~
                             Current                     Ea ( s ) + Ed ( s )
                             controller                             _
                                        α (s )        vD (s )                              I a (s )
     I a (s ) +
       ref
                                                          +                        1
                      ∑        Gω (s)            Ed             ∑               Ra + sLa
                  _
Simulated Result
Predictive current controller
         v D − ea
   Δia =          Ts
            La
                         v D − ea
   ia (k + 1) − i (k ) =          Ts
                            La

   v D = αE d =
                     [
                La ia (k + 1) − ia (k )
                    ref
                                       ]+ ea
                        Ts

   α=
           [
      La ia (k + 1) − ia (k ) ea
          ref
                             +
                                 ]
              Ts E d           Ed
Simulation



Limiter




Speed
controller


                 Current controller

             One-quadrant dc drive system
Simulation result




   The current cannot be negative
Simulation




Limiter




Speed
controller
              Current controller

             Two-quadrant dc drive system
Simulation Result
Simulation




Four-quadrant dc drive system
Simulation Result
Simulation Result
Block Diagram of DC Drives Using
        AC-DC Converter
                                       AC source



         cosα               α   Converter and
                       −1
                 cos                                          DC output
                                pulse gate generator

                                                              6 fLs I o

                                                               −
                            α                        +
      cosα       cos   −1       3 2
                                       Vll cos
                                 π                                        Vo


                                                         6 fLs I o

                                                          −
                cosα                             +
                                3 2
                                      Vll
                                π                                    Vo
Current-Controlled Rectifier

                                                             AC source

                                                                                    Io
                                                                                         R   L
 ref +
Io                           cosα               α       Converter and
                Current
                                    cos−1                                                        E
                Controller                              pulse gate generator
         −




                                                        Ns


                                                             −
 ref +
Io              Current
                             cosα                   +                  1       Io
                                    3 2
                                          Vll
                Controller           π                               sL + R
         −                                              −
                                                                      6 fLs
Four-Quadrant AC-DC Converter

                Converter1            Converter 2

                                 ia


                                                                io


                                                            0


 *
ia   +   Current                             α1 + α 2 = π
                         cos−1
         controller
     −
Simulation
Simulation Result
Simulation
Simulated Result
Simulated Result
DC Drive Considerations
• The input power factor is decreased when the speed is
  reduced.
• The input current is rich in harmonics. The dominant
  harmonics are 5th and 7th order when three-phase six-
  pulse rectifier is used.
• The converter generates notches in the input voltage.
• Additional losses due to current ripple.
• Separate fan must be provided when operating speed is
  low.
• The dc motor cannot be operated under stalled
  conditions for a long time.
• Comutator and brushes make the dc drive cannot be
  designed for very high speeds.
The End
Tugas
Rancanglah pengendali kecepatan motor arus searah penguatan bebas (data ambil di
    literatur) 4-kuadran sebagai berikut:
1)  Konverter dc-dc 4-kuadran dengan pengendali arus hysteresis dan pengendali
    kecepatan PI.
2)  Konverter dc-dc 4-kuadran dengan pengendali arus hysteresis dan pengendali
    kecepatan IP.
3)  Konverter dc-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan
    PI.
4)  Konverter dc-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan
    IP.
5)  Konverter thyristor ac-dc 4-kuadran dengan pengendali arus PI dan pengendali
    kecepatan PI.
6)  Konverter thyristor ac-dc 4-kuadran dengan pengendali arus PI dan pengendali
    kecepatan IP.

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Dc drives

  • 1. DC Drive Systems Pekik Argo Dahono
  • 3. Block Diagram of DC Drives ~ Tl (s ) Ed ( s ) α (s) _ _ vD (s ) I a (s ) Te (s) ωr (s ) + + 1 + 1 ω (s ) ∑ Gω (s ) Ed ∑ Ra + sLa Kφ ∑ sJ _ _ Ea (s ) Kφ ω (s ) = (ω G ω ( s ) Ed / JLa ) ω ref ( s ) ( ) o s + sα + ω + ωo Gω ( s ) Ed / JLa 2 2 o ωo / JLa ~ − ( s 2 + sα + ωo + ωo Gω ( s ) Ed / JLa 2 ) Ed ( s ) − (s + α ) / J ( s + sα + ω + ωo Gω ( s ) Ed / JLa 2 2 o ) Tl ( s )
  • 4. Single-Quadrant DC-DC Converter • The switching device is MOSFET for low-power, IGBT for medium power, and GTO for high power applications. • Single-quadrant is adequate when fast speed reversal and regenerative braking are not required. • Carrier signal is unipolar.
  • 5. Two-Quadrant DC-DC Converter • Regenerative braking is possible. • If the source cannot accept the regenerated energy, the energy can be absorbed by a resistor that is connected in the dc side. • Carrier signal is unipolar. • This system is suitable for electric vehicles.
  • 6. Four-Quadrant • Both output voltage and current are bidirectional. • Two splitting capacitors are required. • Carrier signal must be bipolar.
  • 7. Four-Quadrant DC-DC Converter D1 D3 S1 vo S3 Suitable for robotic and machine M tools Ed S2 S4 D2 D4 S1 S2 S3 S4 Vo ON OFF ON OFF 0 ON OFF OFF ON Ed OFF ON ON OFF -Ed ON OFF ON OFF 0
  • 8. Operating Principles of DC-DC Converters id iL di L R v D = Ri L + L + vo S L dt vo Ed D vD 0 ≤ t < TON vD = Ed di L id R iL E d = Ri L + L + vo dt S L vo TON ≤ t < Ts Ed D vD vD = 0 di L 0 = Ri L + L + vo TON vD = E d = αE d dt Ts
  • 9. Operating Principles Ed Ed T vo vD vD = ON Ed vD Ts 0 0 TON α1Ts α 2Ts TON Ts Ts E d − vo E d − vo vL vL −vo − vo iL 0 iL id v D = αE d v D ≠ αE d Continuous mode Discontinuous mode
  • 10. Continuous Conduction Mode • The converter can be modeled as a variable dc voltage source or as a dc voltage amplifier. • The gain of amplifier is equal to the dc voltage source and the input signal is equal to the duty factor signal or equal to reference signal (if the amplitude of the carrier signal is equal to unity). • In single-quadrant chopper, both output voltage and current cannot be negative. • In two-quadrant chopper, the output voltage cannot be negative but the output current is bidirectional. • In four-quadrant chopper, both output voltage and current are bidirectional. • Nonidealities of amplifier can be represented as disturbance signal.
  • 11. Single-Phase Fully-Controlled AC-DC Converter io vs is T1 T3 Ld ωt is vo + α io vs vo R 0 π 2π ωt T1 & T 4 T2 &T3 T2 T4 2 2 vo = cos α π
  • 12. Three-Phase AC-DC Converter α vun vvn vwn 0 π 2π ωt vd ωt iu 3 2 vd = Vll cos α π
  • 13. Four-Quadrant AC-DC Converter Converter can be operated in either circulating or noncirculating current modes.
  • 14. Continuous Conduction Mode • Under continuous conduction mode, the converter can be considered as a variable dc voltage source. • The output of dc voltage source is proportional to the cosinus of firing angle. • In fully controlled rectifiers, the output voltage is bidirectional but the output current is unidirectional. • In four-quadrant rectifier, both output voltage and current are bidirectional.
  • 16. Advantages Current-Controlled DC Drives • Short-circuit protection can be done inherently. • The design of speed controller is easy • The response is faster • The torque is proportional to the armature current.
  • 18. Block diagram of DC drive using current-controlled converter ~ Tl (s ) Ed ( s ) α (s) _ _ vD (s ) I a (s ) Te (s) ωr (s ) + + 1 + 1 ω (s ) ∑ Gω (s ) Ed ∑ Ra + sLa Kφ ∑ sJ _ _ Ea (s ) Kφ Voltage-controlled Current-Controlled
  • 19. Block Diagrams I a (s) = Gc ( s ) Ed sLa + Ra + Gc ( s ) Ed I a (s) − ref 1 sLa + Ra + Gc ( s ) Ed [ ~ Ea ( s ) + Ed ( s ) ] Gω ( s ) KΦ 1 ω (s) = ωr (s) − Tl ( s ) sJ + Gω ( s ) KΦ sJ + Gω ( s ) KΦ
  • 20. Current-Controlled DC-DC Converters • Hysteresis current controller • Carrier based current controller • Predictive controller
  • 21. Hysteresis current controller IF ia > ia + h THEN S1 = OFF AND S2 = ON ref IF ia < ia − h THEN S1 = ON AND S2 = OFF ref
  • 23. Analysis 0 → TON dia ~ vD = Ed ia : −h → h v D = Ra ia + La + ea dt 2h = (1 − α )Ed T ON ~ La ia = ia + ia 2hLa ~ TON = v =v +v D D D (1 − α )Ed 0 → TOFF v D = Ra i a + e a = α E d ~ vD = 0 ia : h → −h ~ ~ ~ ~ d ia d ia − αE d v D = Ra ia + La ≈ La − 2h = La TOFF dt dt 2hLa TOFF = ~ ia = 1 ~ ∫ v D dt = 1 ∫ (v D − v D )dt αE d La La Ts = TON + TOFF f s = 1 / Ts = Ed (1 − α )α 2hLa
  • 24. Carrier based current controller S1 Ia Ra La Ed S2 ea Ia + ref Current Regulator − ~ Current Ea ( s ) + Ed ( s ) controller _ α (s ) vD (s ) I a (s ) I a (s ) + ref + 1 ∑ Gω (s) Ed ∑ Ra + sLa _
  • 26. Predictive current controller v D − ea Δia = Ts La v D − ea ia (k + 1) − i (k ) = Ts La v D = αE d = [ La ia (k + 1) − ia (k ) ref ]+ ea Ts α= [ La ia (k + 1) − ia (k ) ea ref + ] Ts E d Ed
  • 27. Simulation Limiter Speed controller Current controller One-quadrant dc drive system
  • 28. Simulation result The current cannot be negative
  • 29. Simulation Limiter Speed controller Current controller Two-quadrant dc drive system
  • 34. Block Diagram of DC Drives Using AC-DC Converter AC source cosα α Converter and −1 cos DC output pulse gate generator 6 fLs I o − α + cosα cos −1 3 2 Vll cos π Vo 6 fLs I o − cosα + 3 2 Vll π Vo
  • 35. Current-Controlled Rectifier AC source Io R L ref + Io cosα α Converter and Current cos−1 E Controller pulse gate generator − Ns − ref + Io Current cosα + 1 Io 3 2 Vll Controller π sL + R − − 6 fLs
  • 36. Four-Quadrant AC-DC Converter Converter1 Converter 2 ia io 0 * ia + Current α1 + α 2 = π cos−1 controller −
  • 42. DC Drive Considerations • The input power factor is decreased when the speed is reduced. • The input current is rich in harmonics. The dominant harmonics are 5th and 7th order when three-phase six- pulse rectifier is used. • The converter generates notches in the input voltage. • Additional losses due to current ripple. • Separate fan must be provided when operating speed is low. • The dc motor cannot be operated under stalled conditions for a long time. • Comutator and brushes make the dc drive cannot be designed for very high speeds.
  • 44. Tugas Rancanglah pengendali kecepatan motor arus searah penguatan bebas (data ambil di literatur) 4-kuadran sebagai berikut: 1) Konverter dc-dc 4-kuadran dengan pengendali arus hysteresis dan pengendali kecepatan PI. 2) Konverter dc-dc 4-kuadran dengan pengendali arus hysteresis dan pengendali kecepatan IP. 3) Konverter dc-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan PI. 4) Konverter dc-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan IP. 5) Konverter thyristor ac-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan PI. 6) Konverter thyristor ac-dc 4-kuadran dengan pengendali arus PI dan pengendali kecepatan IP.