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All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1
Permanent Magnet
Synchronous Motor (PMSM)
Simplified SPICE Behavioral Model
PSpice Version
Bee Technologies
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 2
Contents
1. Parameter Settings
2. Implement of Function
3. How to use Terminal of Tm
4. Example Vector Control with 2 Current and Speed Sensing
4.1 Circuit
4.2 Simulation Result
1. Parameter Settings
Symbol Model Parameters:
RA is the Stator resistance []
e.g. RA = 0.1, 0.5 or 1[]
LD is the Direct-axis inductance [H]
e.g. LD =1m, 2m or 5m [H]
LQ is the Quadrature-axis inductance [H]
e.g. LQ =1m, 2m or 5m [H]
KE is the Back EMF constant
e.g. KE =0.01, 0.1 or 0.5
JM is the Inertia [kg.m^2]
e.g. JM =0.01m, 0.1m or 0.5m [kg.m^2]
DM is the Friction or Viscous coefficient [Ns/m]
e.g. DM =0.01m, 0.1m or 0.5m [Ns/m]
NP is the Number of pole pairs
e.g. NP=3, 4 or 6
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 3
(Default values)
Tm-
N Tm+
W
V
U
S
U1
PMS_MOTOR
RA = 0.1
LD = 1m
LQ = 1m
KE = 0.1
JM = 0.1m
DM = 0.1m
NP = 3
2. Implement of Function (1/2)
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 4
rmrsdd
sq
qsqdq
rsqq
sd
dsddd
ωωiL
dt
di
LiRv
ωiL
dt
di
LiRv



 
prm
sqmsqsdd
m
me
N
iNpiiLqLNp
dt
d
JBT












































3
4
sin
3
2
sinsin
3
4
cos
3
2
coscos


θvθvθv
3
2
v
θvθvθv
3
2
v
cbaq
cbad
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 5



























3
4
sin
3
4
cos
3
2
sin
3
2
cos
sincos


θiθii
θiθii
θiθii
qdc
qdb
qda
2. Implement of Function (2/2)
3. How to use Terminal of Tm
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 6
V5
T1 = 0
T2 = 9m
T3 = 10m
T4 = 25m
T5 = 27m
V1 = 0
V2 = 0
V3 = 4
V4 = 4
V5 = -4
tm
0
Tm-
N Tm+
W
V
U
S
U3
PMS_MOTOR
RA = 0.1
LD = 1m
LQ = 1m
KE = 0.1
JM = 0.1m
DM = 0.1m
NP = 3
3-phase input voltage of
PWSM
Tm+ and Tm- connect to VPWL
and so on
V6
TD =
TF =
PW =
PER =
V1 =
TR =
V2 =
V6
<FILE>
+
-
+
-
S1
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
+
-
+
-
S2
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
0
0
DMOD
D1
DC_P
V4
100V
UN
UP
0
DMOD
D2
+
-
+
-
S3
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
0
VP
DMOD
D3
+
-
+
-
S4
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
0
DMOD
D4
VN
+
-
+
-
S5
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
0
DMOD
D5
WP
+
-
+
-
S6
S
VON = 1.0V
VOFF = 0.0V
ROFF = 1e6
RON = 1.0
0
WN
DMOD
D6
V
V5
T1 = 0
T2 = 9m
T3 = 10m
T4 = 25m
T5 = 27m
V1 = 0
V2 = 0
V3 = 4
V4 = 4
V5 = -4
tm
0
IN+
IN-
OUT+
OUT-
E14
I(V5)
EVALUE
0
IN+
IN-
OUT+
OUT-
E15
I(VL1)
EVALUE
0
IN+
IN-
OUT+
OUT-
E16
I(VL2)
EVALUE
0
DC_P
iw
Tm-
N Tm+
W
V
U
S
U3
PMS_MOTOR
RA = 0.1
LD = 1m
LQ = 1m
KE = 0.1
JM = 0.1m
DM = 0.1m
NP = 3
U
om
UNUP VNVP WPWN
W
iu
U103
VCONTROL
UP
UN
VP
VN
WP
WN
IU
IW
OM DC_P
VL1
VL2
4. Example Vector Control with 2 Current and
Speed Sensing
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 7
Control and Driver Circuit
PMS Motor
Inverter
Input Current
sensing: Iu and Iw
Angular velocity: Om
VPWL
4.2 Simulation Result
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 8
(Motor):VU
(Motor):VV
(Motor):VW
(Current Sensing-Motor):Iu
(Current Sensing-Motor):Iw
(angular velocity-Motor):Vom
(torque-Motor):Vtm
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 9
4.2 Simulation Result (Torque: 0) (zoom in)
(Motor):VU
(Motor):VV
(Motor):VW
(angular velocity-Motor):Vom
(torque-Motor):Vtm
(Current Sensing-Motor):Iu
(Current Sensing-Motor):Iw
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 10
4.2 Simulation Result (Torque: positive) (zoom in)
(Motor):VU
(Motor):VV
(Motor):VW
(angular velocity-Motor):Vom
(torque-Motor):Vtm
(Current Sensing-Motor):Iu
(Current Sensing-Motor):Iw
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 11
4.2 Simulation Result (Torque: negative) (zoom in)
(Motor):VU
(Motor):VV
(Motor):VW
(angular velocity-Motor):Vom
(torque-Motor):Vtm
(Current Sensing-Motor):Iu
(Current Sensing-Motor):Iw

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PMS Motor of Simple Model using PSpice

  • 1. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1 Permanent Magnet Synchronous Motor (PMSM) Simplified SPICE Behavioral Model PSpice Version Bee Technologies
  • 2. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 2 Contents 1. Parameter Settings 2. Implement of Function 3. How to use Terminal of Tm 4. Example Vector Control with 2 Current and Speed Sensing 4.1 Circuit 4.2 Simulation Result
  • 3. 1. Parameter Settings Symbol Model Parameters: RA is the Stator resistance [] e.g. RA = 0.1, 0.5 or 1[] LD is the Direct-axis inductance [H] e.g. LD =1m, 2m or 5m [H] LQ is the Quadrature-axis inductance [H] e.g. LQ =1m, 2m or 5m [H] KE is the Back EMF constant e.g. KE =0.01, 0.1 or 0.5 JM is the Inertia [kg.m^2] e.g. JM =0.01m, 0.1m or 0.5m [kg.m^2] DM is the Friction or Viscous coefficient [Ns/m] e.g. DM =0.01m, 0.1m or 0.5m [Ns/m] NP is the Number of pole pairs e.g. NP=3, 4 or 6 All Rights Reserved Copyright (C) Siam Bee Technologies 2015 3 (Default values) Tm- N Tm+ W V U S U1 PMS_MOTOR RA = 0.1 LD = 1m LQ = 1m KE = 0.1 JM = 0.1m DM = 0.1m NP = 3
  • 4. 2. Implement of Function (1/2) All Rights Reserved Copyright (C) Siam Bee Technologies 2015 4 rmrsdd sq qsqdq rsqq sd dsddd ωωiL dt di LiRv ωiL dt di LiRv      prm sqmsqsdd m me N iNpiiLqLNp dt d JBT                                             3 4 sin 3 2 sinsin 3 4 cos 3 2 coscos   θvθvθv 3 2 v θvθvθv 3 2 v cbaq cbad
  • 5. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 5                            3 4 sin 3 4 cos 3 2 sin 3 2 cos sincos   θiθii θiθii θiθii qdc qdb qda 2. Implement of Function (2/2)
  • 6. 3. How to use Terminal of Tm All Rights Reserved Copyright (C) Siam Bee Technologies 2015 6 V5 T1 = 0 T2 = 9m T3 = 10m T4 = 25m T5 = 27m V1 = 0 V2 = 0 V3 = 4 V4 = 4 V5 = -4 tm 0 Tm- N Tm+ W V U S U3 PMS_MOTOR RA = 0.1 LD = 1m LQ = 1m KE = 0.1 JM = 0.1m DM = 0.1m NP = 3 3-phase input voltage of PWSM Tm+ and Tm- connect to VPWL and so on V6 TD = TF = PW = PER = V1 = TR = V2 = V6 <FILE>
  • 7. + - + - S1 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 + - + - S2 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 0 0 DMOD D1 DC_P V4 100V UN UP 0 DMOD D2 + - + - S3 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 0 VP DMOD D3 + - + - S4 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 0 DMOD D4 VN + - + - S5 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 0 DMOD D5 WP + - + - S6 S VON = 1.0V VOFF = 0.0V ROFF = 1e6 RON = 1.0 0 WN DMOD D6 V V5 T1 = 0 T2 = 9m T3 = 10m T4 = 25m T5 = 27m V1 = 0 V2 = 0 V3 = 4 V4 = 4 V5 = -4 tm 0 IN+ IN- OUT+ OUT- E14 I(V5) EVALUE 0 IN+ IN- OUT+ OUT- E15 I(VL1) EVALUE 0 IN+ IN- OUT+ OUT- E16 I(VL2) EVALUE 0 DC_P iw Tm- N Tm+ W V U S U3 PMS_MOTOR RA = 0.1 LD = 1m LQ = 1m KE = 0.1 JM = 0.1m DM = 0.1m NP = 3 U om UNUP VNVP WPWN W iu U103 VCONTROL UP UN VP VN WP WN IU IW OM DC_P VL1 VL2 4. Example Vector Control with 2 Current and Speed Sensing All Rights Reserved Copyright (C) Siam Bee Technologies 2015 7 Control and Driver Circuit PMS Motor Inverter Input Current sensing: Iu and Iw Angular velocity: Om VPWL
  • 8. 4.2 Simulation Result All Rights Reserved Copyright (C) Siam Bee Technologies 2015 8 (Motor):VU (Motor):VV (Motor):VW (Current Sensing-Motor):Iu (Current Sensing-Motor):Iw (angular velocity-Motor):Vom (torque-Motor):Vtm
  • 9. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 9 4.2 Simulation Result (Torque: 0) (zoom in) (Motor):VU (Motor):VV (Motor):VW (angular velocity-Motor):Vom (torque-Motor):Vtm (Current Sensing-Motor):Iu (Current Sensing-Motor):Iw
  • 10. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 10 4.2 Simulation Result (Torque: positive) (zoom in) (Motor):VU (Motor):VV (Motor):VW (angular velocity-Motor):Vom (torque-Motor):Vtm (Current Sensing-Motor):Iu (Current Sensing-Motor):Iw
  • 11. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 11 4.2 Simulation Result (Torque: negative) (zoom in) (Motor):VU (Motor):VV (Motor):VW (angular velocity-Motor):Vom (torque-Motor):Vtm (Current Sensing-Motor):Iu (Current Sensing-Motor):Iw