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SPICE Model of
3-Phase AC Motor
等価回路モデルでのご提供で下記の3項目に対して、再現性があります。

(1)周波数特性(インピーダンス特性)
(2)逆起電力特性
(3)物理的特性


                     2012年8月7日
                  株式会社ビー・テクノロジー

          All Rights Reserved Copyright (C) Bee Technologies Inc. 2012   1
1) Parameters Settings

                                                           Model Parameters:
                                                               LOAD : Load current each phase of motor [Arms]
                                  U1                           – e.g. LL = 125Arms, 140Arms, or 400Arms
                                  ME0913
    1
                                                               LL : Phase inductance [H]
                              LL = 105U
                                                               – e.g. LL = 10mH, 100mH, or 1H
    2

    3
                M        4    RLL = 0.0125
                           N0 KE = 0.02
                              KT = 1.6                         RLL : Phase resistance (Phase-to-phase) [Ω]
                              LOAD = 140                       – e.g. RLL = 10mΩ, 100mΩ, or 1Ω

                                                               KE : Back-EMF constant [V/RPM]
                                                               – e.g. KE= 0.01, 0.05, or 0.1

Fig.1 Symbol of 3-Phase Induction Motor                        KT : Torque constant [Lb-in/A]
                                                               – e.g. KT= 0.1, 0.5, or 1

                                                                                                1 Pound Inch equals 0.11 Nm


•       From the 3-Phase Induction Motor specification, the model is characterized by setting parameters
        LL, RLL, KE, KT and LOAD.

                                All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                            2
2) Simulation Circuit of 3-Phase AC Motor Model


          V1              S1                 D1              S3           D3              S5            D5
         102V   UP        +    +             DMOD_01 VP      +    +       DMOD_01 WP      +    +        DMOD_01
                          -    -                             -    -                       -    -

                      0                                     0                             0                                                 U1
                                                                                                                                            ME0913
                                                                                                        RU               U    1




                                                                                                                                           4
N0
                                                                                                        RV

                                                                                                        RW
                                                                                                                         V

                                                                                                                         W
                                                                                                                              2

                                                                                                                              3
                                                                                                                                   M           N0

                                                                                                                                                    N0
                                                                                                        RU, RV, RW: 173.75m
          V2
         102V
                                                                                                                                  LL = 105U
                          S2                 D2              S4           D4              S6            D6                        RLL = 0.0125
                UD        +    +             DMOD_01 VD      +    +       DMOD_01 WD      +    +        DMOD_01                   KE = 0.02
                                                                                                                                  KT = 1.6
                          -    -                             -    -                       -    -                                  LOAD = 140
                      0                                     0                             0


     0




                                                             •        Fig.2 Analysis of motor operation powered by
         UP     UD   VP        VD       WP   WD
                                                                      alternating voltage variation involves using the
                                                                      model of three-phase induction motor.
                                                  U2
         UP




                     VP




                                        WP
                UD




                                   VD




                                             WD




                                                  GDRV


                                                                 Q1-Q6: IGBT,MOSFET and so on
                                                    All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                                    3
2.1) Phase Current Characteristics Under Load Variation
- Simulation Results


                                                                                   Load 50Arms




                                                                                   Load 140Arms




                                                                                   Load 200Arms




                                                                                   Reference of Phase U

                  Fig. 3 Current Characteristics under load Condition

                   All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                      4
2.2) Back-EMF Characteristics Under Load Condition
- Simulation Results

                                                                                   Load 50Arms




                                                                                   Load 140Arms




                                                                                   Load 200Arms




                                                                                   Reference of Phase U

                  Fig. 4 Back-EMF Characteristics under load Condition

                   All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                      5
2.3) Speed and Torque Characteristics At 140Arms
  - Simulation Results


        The Load 140(Arms) is Rated Continuous Current



RPM




                                                                      Tphe: Electric torque produced by each phase



Lb-in




                                                                                                   Reference of Phase U


                    Fig. 5 Speed and Torque Characteristics at Load=140Arms

                             All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                            6
2.4) Power Output and Efficiency Characteristics At 140Arms
   - Simulation Results


         At Load=140Arms, Power Output ≈ 13.7 [KW]



Watt




         At Load=140Arms, Efficiency ≈ 82 [%]



 [%]




                                                                                              Reference of Phase U


                 Fig. 6 Power Output and Efficiency Characteristics at Load=140Arms

                              All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                      7
Appendix A: Measured Point of Simulation Circuit

     Simple Circuit of 3-Phase Induction Motor
     Control System

          V1              S1                 D1               S3             D3             S5          D5            For easy calculation
         102V                  +             DMOD_01               +         DMOD_01             +      DMOD_01
                                                                                                                  RV, RW = Vac/Ipk(rms) - (0.5⋅RLL)
                UP        +                              VP   +                        WP   +
                          -    -                              -    -                        -    -          RU,
                      0                                       0                             0                                                      U1
                                                                                                                                                   ME0913
                                                                                                        RU                   U       1




                                                                                                                                                  4
N0                                            Inverter
                                                                                                        RV

                                                                                                        RW
                                                                                                                             V

                                                                                                                             W
                                                                                                                                     2

                                                                                                                                     3
                                                                                                                                          M           N0

                                                                                                                                                               N0
                                                                                                        RU, RV, RW: 173.75m
          V2
         102V                                                                                                Phase Current I(Rphe)       LL = 105U
                          S2                 D2               S4             D4             S6          D6                               RLL = 0.0125
                UD        +    +             DMOD_01 VD       +    +         DMOD_01 WD     +    +      DMOD_01                          KE = 0.02
                                                                                                                                         KT = 1.6
                          -    -                              -    -                        -    -                                       LOAD = 140
                      0                                       0                             0

                                                                                                                                         Load Variation
     0                                                                                                                                     Parameter

                                                         Gate Drive Signal

         UP     UD   VP        VD       WP   WD



                                                  U2
         UP




                     VP




                                        WP
                UD




                                   VD




                                             WD




                                                  GDRV




                                                   All Rights Reserved Copyright (C) Bee Technologies Inc. 2012                                            8

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3相ACモーターのスパイスモデルの概要

  • 1. SPICE Model of 3-Phase AC Motor 等価回路モデルでのご提供で下記の3項目に対して、再現性があります。 (1)周波数特性(インピーダンス特性) (2)逆起電力特性 (3)物理的特性 2012年8月7日 株式会社ビー・テクノロジー All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 1
  • 2. 1) Parameters Settings Model Parameters: LOAD : Load current each phase of motor [Arms] U1 – e.g. LL = 125Arms, 140Arms, or 400Arms ME0913 1 LL : Phase inductance [H] LL = 105U – e.g. LL = 10mH, 100mH, or 1H 2 3 M 4 RLL = 0.0125 N0 KE = 0.02 KT = 1.6 RLL : Phase resistance (Phase-to-phase) [Ω] LOAD = 140 – e.g. RLL = 10mΩ, 100mΩ, or 1Ω KE : Back-EMF constant [V/RPM] – e.g. KE= 0.01, 0.05, or 0.1 Fig.1 Symbol of 3-Phase Induction Motor KT : Torque constant [Lb-in/A] – e.g. KT= 0.1, 0.5, or 1  1 Pound Inch equals 0.11 Nm • From the 3-Phase Induction Motor specification, the model is characterized by setting parameters LL, RLL, KE, KT and LOAD. All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 2
  • 3. 2) Simulation Circuit of 3-Phase AC Motor Model V1 S1 D1 S3 D3 S5 D5 102V UP + + DMOD_01 VP + + DMOD_01 WP + + DMOD_01 - - - - - - 0 0 0 U1 ME0913 RU U 1 4 N0 RV RW V W 2 3 M N0 N0 RU, RV, RW: 173.75m V2 102V LL = 105U S2 D2 S4 D4 S6 D6 RLL = 0.0125 UD + + DMOD_01 VD + + DMOD_01 WD + + DMOD_01 KE = 0.02 KT = 1.6 - - - - - - LOAD = 140 0 0 0 0 • Fig.2 Analysis of motor operation powered by UP UD VP VD WP WD alternating voltage variation involves using the model of three-phase induction motor. U2 UP VP WP UD VD WD GDRV Q1-Q6: IGBT,MOSFET and so on All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 3
  • 4. 2.1) Phase Current Characteristics Under Load Variation - Simulation Results Load 50Arms Load 140Arms Load 200Arms  Reference of Phase U Fig. 3 Current Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 4
  • 5. 2.2) Back-EMF Characteristics Under Load Condition - Simulation Results Load 50Arms Load 140Arms Load 200Arms  Reference of Phase U Fig. 4 Back-EMF Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 5
  • 6. 2.3) Speed and Torque Characteristics At 140Arms - Simulation Results The Load 140(Arms) is Rated Continuous Current RPM Tphe: Electric torque produced by each phase Lb-in  Reference of Phase U Fig. 5 Speed and Torque Characteristics at Load=140Arms All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 6
  • 7. 2.4) Power Output and Efficiency Characteristics At 140Arms - Simulation Results At Load=140Arms, Power Output ≈ 13.7 [KW] Watt At Load=140Arms, Efficiency ≈ 82 [%] [%]  Reference of Phase U Fig. 6 Power Output and Efficiency Characteristics at Load=140Arms All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 7
  • 8. Appendix A: Measured Point of Simulation Circuit Simple Circuit of 3-Phase Induction Motor Control System V1 S1 D1 S3 D3 S5 D5 For easy calculation 102V + DMOD_01 + DMOD_01 + DMOD_01 RV, RW = Vac/Ipk(rms) - (0.5⋅RLL) UP + VP + WP + - - - - - - RU, 0 0 0 U1 ME0913 RU U 1 4 N0 Inverter RV RW V W 2 3 M N0 N0 RU, RV, RW: 173.75m V2 102V Phase Current I(Rphe) LL = 105U S2 D2 S4 D4 S6 D6 RLL = 0.0125 UD + + DMOD_01 VD + + DMOD_01 WD + + DMOD_01 KE = 0.02 KT = 1.6 - - - - - - LOAD = 140 0 0 0 Load Variation 0 Parameter Gate Drive Signal UP UD VP VD WP WD U2 UP VP WP UD VD WD GDRV All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 8