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:
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. 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. 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. 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. 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. 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. 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