Permanent Magnet Synchronous Motor (PMSM)Simplified SPICE Behavioral Model

1. All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1
Permanent Magnet
Synchronous Motor (PMSM)
Simplified SPICE Behavioral Model
LTspice Version
Bee Technologies

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
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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
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(Default values)

4. 2. Implement of Function (1/2)
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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
2. Implement of Function (2/2)



























3
4
sin
3
4
cos
3
2
sin
3
2
cos
sincos


θiθii
θiθii
θiθii
qdc
qdb
qda

6. 3. How to use Terminal of Tm
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3-phase input voltage of
PWSM
Tm+ and Tm- connect to VPWL
and so on

7. 4. Example Vector Control with 2 Current and
Speed Sensing
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Control and Driver Circuit
PMS Motor
Inverter
Input Current
sensing: Iu and Iw
Angular velocity: Om
VPWL

8. 4.2 Simulation Result
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(Motor):VU
(Motor):VV
(Motor):VW
(Current Sensing-Motor):Iu
(Current Sensing-Motor):Iw
(angular velocity-Motor):Vom
(torque-Motor):Vtm

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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

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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

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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