All Rights Reserved Copyright (C) Siam Bee Technologies 20151 Permanent Magnet Synchronous Motor...

All Rights Reserved Copyright (C) Siam Bee Technologies 2015

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Permanent Magnet Synchronous Motor (PMSM)Simplified SPICE Behavioral Model

PSpice 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

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)

Tm-

N Tm+

W

V

U

S

U 1P M S _ M O TO R

R A = 0 . 1L D = 1 mL Q = 1 mK E = 0 . 1J M = 0 . 1 mD M = 0 . 1 mN P = 3

2. Implement of Function (1/2)


4

rmrsddsq

qsqdq

rsqqsd

dsddd

ωωiLdt

diLiRv

ωiLdt

diLiRv

prm

sqmsqsddm

me

N

iNpiiLqLNpdt

dJBT

3

4sin

3

2sinsin

3

4cos

3

2coscos

θvθvθv3

2v

θvθvθv3

2v

cbaq

cbad


5

3

4sin

3

4cos

3

2sin

3

2cos

sincos

θiθii

θiθii

θiθii

qdc

qdb

qda

2. Implement of Function (2/2)

3. How to use Terminal of Tm


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V 5

T1 = 0T2 = 9 mT3 = 1 0 mT4 = 2 5 mT5 = 2 7 m

V 1 = 0V 2 = 0V 3 = 4V 4 = 4

V 5 = -4

t m

0

Tm-

N Tm+

W

V

U

S

U 3P M S _ M O TO R


3-phase input voltage of PWSM

Tm+ and Tm- connect to VPWLand so on

V 6

TD =

TF =P W =P E R =

V 1 =

TR =

V 2 =V 6

<F I L E >

+

-

+

-

S 1

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

+

-

+

-

S 2

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

0

0D M O DD 1

D C _ P

V 41 0 0 V

U N

U P

0

D M O DD 2

+

-

+

-

S 3

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

0

V P

D M O DD 3

+

-

+

-

S 4

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

0D M O DD 4

V N

+

-

+

-

S 5

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

0D M O DD 5

W P

+

-

+

-

S 6

S

V O N = 1 . 0 VV O F F = 0 . 0 V

R O F F = 1 e 6R O N = 1 . 0

0

W N

D M O DD 6

VV 5

T1 = 0T2 = 9 mT3 = 1 0 mT4 = 2 5 mT5 = 2 7 m

V 1 = 0V 2 = 0V 3 = 4V 4 = 4

V 5 = -4

t m

0

IN+IN-

OUT+OUT-

E 1 4

I (V 5 )

E V A L U E

0

IN+IN-

OUT+OUT-

E 1 5

I (V L 1 )

E V A L U E

0

IN+IN-

OUT+OUT-

E 1 6

I (V L 2 )

E V A L U E

0

D C _ Piw

Tm-

N Tm+

W

V

U

S

U 3P M S _ M O TO R


U

o m

U NU P V NV P W PW N

W

iu

U 1 0 3V C O N TR O L

UP

UN VP

VN

WP

WN

I U

I W

O M D C _ P

V L 1

V L 2

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

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


(torque-Motor):Vtm




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4.2 Simulation Result (Torque: positive) (zoom in)

(Motor):VU

(Motor):VV

(Motor):VW


(torque-Motor):Vtm




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4.2 Simulation Result (Torque: negative) (zoom in)

(Motor):VU

(Motor):VV

(Motor):VW


(torque-Motor):Vtm



All Rights Reserved Copyright (C) Siam Bee Technologies 20151 Permanent Magnet Synchronous Motor...

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