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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
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)

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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. 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)