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All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1
Permanent Magnet
Synchronous Motor (PMSM)
Simplified SPICE Behavioral Model
LTspice Version
Bee Technologies
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
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 2
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)
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
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
3. How to use Terminal of Tm
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 6
3-phase input voltage of
PWSM
Tm+ and Tm- connect to VPWL
and so on
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 LTspice

  • 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 All Rights Reserved Copyright (C) Siam Bee Technologies 2015 2
  • 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)
  • 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 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 All Rights Reserved Copyright (C) Siam Bee Technologies 2015 6 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 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