Induction_machine_in_ABC_frame(Gao)

8/7/2019 Induction_machine_in_ABC_frame(Gao)

http://slidepdf.com/reader/full/inductionmachineinabcframegao 1/24



Pr esentation Outline

Intr oduction

Physically Based Model of a Gener al

Induction Machine in a-b-c Fr ame

Development of Resistive

Companion For m (RCF) IM ModelUsing VTB Symbolic Tool

Simulation Results & Demonstr ation



Intr oduction

The need for a new induction machine model(1) Used for ship propulsion(1) Used for ship propulsion

(2) Drive for Weapon systems and auxiliary loads ( pumps,(2) Drive for Weapon systems and auxiliary loads ( pumps,

fans,«)fans,«)

a-b-c Fr ame vs. d-q r efer ence f r ame

Disadvantages of dDisadvantages of d--q modelq model::

(1) in multi(1) in multi--machine system, need one reference frame for machine system, need one reference frame for

each machineeach machine

(2) difficulty in dealing with asymmetries, unbalanced(2) difficulty in dealing with asymmetries, unbalanced

operating conditions, or saturated conditionsoperating conditions, or saturated conditions

(3) some results are not physical quantities(3) some results are not physical quantities



Intr oduction

The need for a new induction machine model(1) Ship propulsion motor (1) Ship propulsion motor

(2) Weapon systems and auxiliary loads ( pumps, fans,«)(2) Weapon systems and auxiliary loads ( pumps, fans,«)

a-b-c Fr ame vs. d-q r efer ence f r ame

Advantage of a Advantage of a--bb--c modelc model: no need for reference frame,: no need for reference frame,

big advantage for multibig advantage for multi--machine systemmachine system



Electr ical subsystem

)(t T em

m[

)(t T m

Mechanical subsystem

ar r

phase a

mag ne ti c ax is referen ce

)(t r

U

asr

)(t vas

)(t ias

m[

)(t vbs

)(t vcs

)(t ics

)(t ibs

)(t in s )(t v

n s



Block Diagr am for A Gener al Induction Machine

Induction

MachineModel

asi

asv

bsi

csi

nsi

bsv

csv

nsv

mT

m[

asP

bsP

csP

0

0

0

Thr ough

Var iables Acr oss

Var iables

Inter nal

States (18)



K ir chhoff's law and Far aday¶s law:

)()()()( t dt

d t ir t vt v

asasasn sasP!

)()()()(t

dt

d t ir t vt v

bsbsbsn sbs P!

)()()()( t dt

d t ir t vt v

cscscsn scsP!

)()()()( t it it it icsbsasn s

!

)()(0 t dt

d t ir ar ar ar P!

)()(0 t

dt

d t ir

cr cr cr P!

)()(0 t dt

d t ir

br br br P!

Dynamic Equations ± Electr ic Subsystem




Flux linkages:

¼½»¬

-«¼

½»¬

-«!¼

½»¬

-«

)()(

))(())((

)()(

t i

t i

Lt L

t L L

t t

abcr

abcs

rr rs

sr ss

abcr

abcs

U

U

PP




Electrical System: Inductance Matrix Definition

¼¼

¼

½

»

¬¬

¬

-

«

!

mslcsmsms

msmslbsms

msmsmslas

ss

L L L L

L L L L

L L L L

L

21

21

21

21

21

21

¼¼

¼

½

»

¬¬

¬

-

«

!

mr lr mr mr

mr mr lr mr

mr mr mr lr

rr

L L L L

L L L L

L L L L

L

21

21

21

21

21

21

¼¼¼

½

»

¬¬¬

-

«

!))(cos())(cos())(cos(

))(cos())(cos())(cos(

))(cos())(cos())(cos(

)(

32

32

32

32

32

32

t t t

t t t

t t t

Lt L

r r r

r r r

r r r

sr sr

UUU

UUU

UUU

T T

T T

T T

)()( t Lt LT

sr rs!



Dynamic Equations ± Mechanical Subsystem

Mechanical System

Motion equations :

)()()(

)()(

t T t i t L

t i dt

t d J

mabcr

m

sr T

abcs

m ¹¹ º

¸©©ª

¨x

x!

U

[

)(

)(

t dt

t d m

m

[

U

!



Resistive Companion For m in a-b-c Coor dinates

)()()(

0)(

2221

1211ht b

t yt v

G G G G t i ¼

½»¬

-«¼

½»¬

-«!¼

½»¬

-«

Resistive Companion For m model:

¼½

»¬-

«

2221

1211

G G

G G : Jacobian matr ix

)( ht b : past history vector



VTB Symbolic Tool ± User Defined Device (UDD)




Dialog Toolbar






System Configur ation

VTB Symbolic Tool - UDD

shaft



VTB UDD Model Wizar d for dll Model

5 23

ia

ib

ic

-(ia+ib+ic)

J*DIFF( V4)-V16DIFF(V5)-V4+wsm

V5-V6+wsm*t

rr *V7+DIFF(V20)

rr *V8+DIFF(V21)

rr *V9+DIFF(V22)

Tr ansfor m the UDD model to c++ code

Compile to gener ate dll model



Simulation Demo of Star t-up Tr ansients

At 0.833 sec

Lasting 0.1 sec



Simulation Demo of Star t-up Tr ansients

InductionInduction

Motor data:Motor data:



0 0 . 2 0 . 4 0 . 6 0 . 8 1- 1 0 0

-8 0

-6 0

-4 0

-2 0

0

2 0

4 0

6 0

8 0

10 0

P lo t o f s t a t o r l i n e c u r r e n t ( d q

o de l)

i a s

( t ) ( A

¡

p e r s )

ti

e ( s e c )

Stator Stator

Curr ent:Curr ent: New Model

d-q Model



Rotor Rotor

Curr ent:Curr ent:

0 0 . 2 0 . 4 0 . 6 0 . 8 1- 1 0 0

-8 0

-6 0

-4 0

-2 0

0

20

40

60

80

10 0

¢

lo t o f q -a x i s r o t o r c u r r e n t ( r e f e r r e d t o s t a t o r t u r n s ) ( d q m o de l)

i a r

( t ) (

£

m

p e r s )

t i m e ( s e c )

d-q Model

New Model



Electr omagnaticElectr omagnatic

Tor que :Tor que :

0 0 . 2 0 . 4 0 . 6 0 . 8 1-2 0

-1 0

0

10

20

30

40

50

60

¤

lo t o f deve lo p e d t o r q u e ( d q¥

o de l)

t o r q u e ( t ) ( N

- m

)

ti m e ( s e c )

New Model

d-q Model



ShaftShaft

Speed:Speed:

0 0 . 2 0 . 4 0 . 6 0 . 8 10

20 0

40 0

60 0

80 0

1 0 0 0

1 2 0 0

1 4 0 0

1 6 0 0

1 8 0 0

2 0 0 0

¦

lo t o f r o t a t i o na l s p e e d ( d q m o de l)

[

m

( t ) ( r p m

)

ti m e ( s e c )

New Model

d-q Model





Questions

??

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Induction_machine_in_ABC_frame(Gao)