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# 3相ACモーターのスパイスモデルの概要

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3相ACモーターのスパイスモデルの概要

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### 3相ACモーターのスパイスモデルの概要

1. 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. 2. 1) Parameters Settings Model Parameters: U1 ME0913 1 2 3 M LL = 105U 4 RLL = 0.0125 N0 KE = 0.02 KT = 1.6 LOAD = 140 LOAD : Load current each phase of motor [Arms] – e.g. LL = 125Arms, 140Arms, or 400Arms LL : Phase inductance [H] – e.g. LL = 10mH, 100mH, or 1H RLL : Phase resistance (Phase-to-phase) [Ω] – 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. 3. 2) Simulation Circuit of 3-Phase AC Motor Model S1 UP + - D1 DMOD_01 VP + - 0 S3 + + - D3 DMOD_01 WP - 0 S5 + - + D5 DMOD_01 - 0 U1 ME0913 RU 1 RV V 2 RW N0 U W 3 M 4 V1 102V N0 N0 RU, RV, RW: 173.75m V2 102V S2 UD + - D2 DMOD_01 VD + - 0 S4 + - 0 + - D4 DMOD_01 WD S6 + - + D6 DMOD_01 - LL = 105U RLL = 0.0125 KE = 0.02 KT = 1.6 LOAD = 140 0 0 • WD WD WP WP VD VD VP VP UD UD UP UP Fig.2 Analysis of motor operation powered by alternating voltage variation involves using the model of three-phase induction motor. U2 GDRV Q1-Q6: IGBT,MOSFET and so on All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 3
4. 4. 2.1) Phase Current Characteristics Under Load Variation - Simulation Results 500A Load 50Arms 0A -500A 0s I(RU)/SQRT(2) 500A 500ms Time Load 140Arms 0A -500A 0s I(RU)/SQRT(2) 500A 500ms Time Load 200Arms 0A -500A 0s 500ms I(RU)/SQRT(2) Time  Reference of Phase U Fig. 3 Current Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 4
5. 5. 2.2) Back-EMF Characteristics Under Load Condition - Simulation Results 200V Load 50Arms 100V 0V -100V -200V 0s V(X_U1.EU) 200V 500ms Time 100V Load 140Arms 0V -100V -200V 0s V(X_U1.EU) 200V 500ms Time Load 200Arms 100V 0V -100V -200V 0s 500ms V(X_U1.EU) Time  Reference of Phase U Fig. 4 Back-EMF Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 5
6. 6. 2.3) Speed and Torque Characteristics At 140Arms - Simulation Results 4.0KV The Load 140(Arms) is Rated Continuous Current 3.0KV (464.146m,3.2311K) RPM 2.0KV 1.0KV SEL>> 0V V(X_U1.speed) 1.0KV Tphe: Electric torque produced by each phase Lb-in 0.5KV (446.486m,223.728) 0V 0s 500ms V(X_U1.tu) Time  Reference of Phase U Fig. 5 Speed and Torque Characteristics at Load=140Arms All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 6
7. 7. 2.4) Power Output and Efficiency Characteristics At 140Arms - Simulation Results 20KW At Load=140Arms, Power Output ≈ 13.7 [KW] Watt (960.616m,13.662K) 10KW SEL>> 0W RMS(V(RU:1,N0))*RMS(I(RU)) 100 At Load=140Arms, Efficiency ≈ 82 [%] (962.500m,81.941) [%] 50 0 0.5s 100*( (RMS(V(U,N0))*RMS(I(RU))) / (RMS(V(RU:1,N0))*RMS(I(RU))) ) Time 1.0s  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. 8. Appendix A: Measured Point of Simulation Circuit Simple Circuit of 3-Phase Induction Motor Control System S1 UP + - D1 DMOD_01 + S3 VP - 0 + - + D3 DMOD_01 S5 WP - 0 + - + D5 DMOD_01 For easy calculation RU, RV, RW = Vac/Ipk(rms) - (0.5RLL) - 0 U1 ME0913 RU V 2 RW Inverter 1 RV N0 U W 3 M 4 V1 102V N0 N0 RU, RV, RW: 173.75m V2 102V Phase Current I(Rphe) S2 UD + - D2 DMOD_01 VD + - 0 S4 + - + - 0 D4 DMOD_01 WD S6 + - + D6 DMOD_01 - LL = 105U RLL = 0.0125 KE = 0.02 KT = 1.6 LOAD = 140 0 Load Variation Parameter 0 Gate Drive Signal WD WD WP WP VD VD VP VP UD UD UP UP U2 GDRV All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 8