The document summarizes a SPICE model of a 3-phase AC motor that can accurately reproduce: (1) frequency characteristics (impedance characteristics), (2) reverse electromotive force characteristics, and (3) physical characteristics. The model is characterized by parameters including phase inductance, resistance, back-EMF constant, torque constant, and load current. Simulation results show characteristics such as phase current, back-EMF, speed, torque, power output, and efficiency under varying load conditions.

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
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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.
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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
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4. 2.1) Phase Current Characteristics Under Load Variation
- Simulation Results
500A
Load 50Arms
0A
-500A
0s 500ms
500A I(RU)/SQRT(2)
Time
Load 140Arms
0A
-500A
0s 500ms
500A I(RU)/SQRT(2)
Time Load 200Arms
0A
-500A
0s 500ms
I(RU)/SQRT(2)
Time  Reference of Phase U
Fig. 3 Current Characteristics under load Condition
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5. 2.2) Back-EMF Characteristics Under Load Condition
- Simulation Results
200V
Load 50Arms
100V
0V
-100V
-200V
0s 500ms
200V V(X_U1.EU)
Time Load 140Arms
100V
0V
-100V
-200V
0s 500ms
200V V(X_U1.EU)
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. 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
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7. 2.4) Power Output and Efficiency Characteristics At 140Arms
- Simulation Results
20KW
At Load=140Arms, Power Output ≈ 13.7 [KW]
(960.616m,13.662K)
Watt 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 1.0s
100*( (RMS(V(U,N0))*RMS(I(RU))) / (RMS(V(RU:1,N0))*RMS(I(RU))) )
Time  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 UP + + DMOD_01 VP + + DMOD_01 WP + + DMOD_01
- - - - - - RU, RV, RW = Vac/Ipk(rms) - (0.5 RLL)
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
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