下电力系统分析课件

d、q、0定子 隐极：整块转子铁芯中

rrrrvavb d、q、0•va=-Ya-•vb=-Yb-

vavavbLvc=-Yc-LQvf=Yf+ri0=YD+0=YQ+

•

0

-Y

0

•

b=-Yb-

c=-Yc-

•vf=Yf

-vf

•

0 •0=YD

fi0fi

•

0=YQ+

=-

0iabc

r fDQ

RfDQ

cQ

fQ

LDQ

方程数:(3-1(3- 变量数3*6=18

ψabc

LSRiabc

待求量12

fDQ

RRfDQLji:i相绕组中的

×

磁路

×

÷

磁路的磁导不变： =wiwj××

×

Lji=wiwjl

÷转子自感： =w2l+l= LD=LQ=

Fd=F

=F

Ψ=ω

j q

d轴磁势d轴

wjFdd-d-wj 电i

绕组

q轴磁势q轴

q-q-cos1ld定子a相绕阻自感系数

aaxaaxdLaa=l0+l2cos

图3-3θ1=

cos1ldw

=wacosaad

=w22al+sin2al+l=l+lcos 02 =l+lcosa-1200202 =l+lcosa+12002θ=α，θ=α-

cos1d

+sinq1lqsinq2+lsw =wcosal

a-120+sinala-120-l

mm=w20+14m=1222-lLab=Lba=-0+m2cosa+30Lbc=Lcb= = =

+mcosa-9022+mcosa+15022aadyxabbα=-图3-4Lfa:θ1=αcos1ldwwcosaadw =wwfcosalad=mafcosa= a-120

=

aLcD=

aa-120)a+120aaxdaax图3-5LQa:θ1=α，cos1ldwLQa=wsinaadwQ=wwQsinalad=maQsina=LaQ =L =m a-120) a+120 Laa=l0+l2cos =l+lcosa-120

=Lfa=maf

a-120 =l+lcos2a+

a+120Lab=Lba=

+mcosa+30

= = a-2 =m+mcosa-120] 2

= = a- cosa = =-m+mcos cosa =w2l+l=

LD=LQ=

a-120

a+120

=-

0iabc

=

SR

abc

r

fDQ

RfDQ

fDQ

RRfDQ

LL

cQ

fQ

LDQ

QQ 组

d轴磁势d轴

d- w 绕组

交 i电i匝数

漏磁导漏磁 漏磁

链i

q轴磁势q轴

q-

转ai•i =Icos(wt),i=Icos(wt-120),i=Icos(wt wt=01

cbc1ia=Icos0=I,ib=Icos(120)=-I,ic=Icos(120)=- wt=q =Icos(q),i=Icos(q-120)=Icos(120-q),i=Icos(q+120)=-Icos(60- daαdaα•Iθbc =Icos(q),i=Icos(q-120), id=Icos(a-q),iq=Isin(a-q) icosacosadiq

isina+isina 3aqα• id=Icos(a-q),iq=Isin(a- iacosa isina+isina i=1i+i+i id

a-120

a+120

i

2sin

aaq

3

b

P=2sin

a-120a-120

a+120a+1203 idq0=Piabciabc=

P－1=-120+120

a-120)1a+120)ia

1idb qi=-120)a-120b qc 0i +120)ac 0•vabc=-ψabc•vabc=-ψabc-•vdq0=-Pψabc-

ψ0 vfDQ-s RfDQψdq0=Pψabcψdq0=Pψabc+P••••P••••=ψdq0-Pψabc•dqdqvdq0=-ψdq0+S-•S=-PP-dq=-wywy0d•vd=-yd-wyq-•vq=-yq-wyd-•ia,ib,ic->id,iq,ψabc LSRiabc

ψabc=LSSiabc+LSR

=

ψfDQ LRRifDQ

fDQ

RSabc

RR

000iqymaQd0 q000 00if D30300LLD0 DQ000Li2QQ

P

+LRR00000000Ld2adaql-2)0qmaQ0000300LLD003m 000LQ000L0000000++Lq=w2Lq=w2lL0=w2qq000L00000000m0aQ =wwf =ww 0LqQ=maQ=wwQlaqm0LfL300LLD00L33==ww L=322=3ww2 032m000 =32=3ww22 q000Lq0000000000m0iqaQid y00if0fD300LLD0 DQ032000LQiQvd=-yd-wyq-• =-y-wy- ••vf=Yf+ri•0=YD+D0=YQ+PP=

P

= 1P

=3vi+3vi+vi

0 d q d、q、0标么制的目的：简 希望：转子磁链方程中不出现 =

zB=

iB=VN iB=2INwB=

LB= B= wB IN =3V

=v

tB=w=

B

y=L =v =w BB BBw

=3·iw

iB=2 SfB=SBv

=SB=zizi==2zB2INLw==2LB3k2I tfB=ty w=BkNk•vd=-yd-wy

yd=

• =-

-

yq=

•

y0=•

+Lfi

-vf=-yf-rfi•

yD=mDaid+LDfi

•

3v

yQ=3

S* SB

00

d23v B

+vqiq=2v0*i0*+vd

y0=

+mafif+

y0=x0i0

+xafif+y

+Lfi

y

yD=

yD=xDaid+xDfi

yQ=

yQ=

•vd=-yd-wy•vq=-yq-wy•

yd=yq=y0=

+xafif+•

=xfaid+xfif+xvd‹id,vf‹iydvd‹id,vf‹iyd,yf,yD‹id,if,

yD=xDaid+xDfi vqvq‹yQ‹iq,•

yQ=

•vd=-yd-wyq-•

r

id vq=-yq-wyd-

-v

0 • f•

if f •-vf=-yf-rfi

•0=-

vq

0iq

wyd

r

+ •

0

QiQ ddyd= +xafif+

yd

xaD =xi+

q

aQ

yf=x

xfDify0=

D

xx

yy y

yD=xDaid+xDfi

=

xaQiq i+x

y

Qa Q

Q

QiQ

=xaD=xfD=

xaQ=yd

id

y=

xaqiq yf= xadif

Q

QiQ xD

r d d -vf=- if-yf-

vq

0iq

wyd0

r

各绕组漏

QQ

Q xd=xq=

+xad xf=xsf+xad xD=xsD+ xQ=xsQ+d、q、0ri

i v wy

-d

r wy

r-+ d

dd

+s =x-adxx

sax''=

xsf+1

f=x

xad2(xf+ 2 2

1 1 1

xf

Td Tfxsf x x

dTd

sf+ x= xxs xq=xsaT T

Q

=xqXQX

dd

dq

ffffdddd

与x相应的磁路示意图irpirpifpdxqydrDyDpvd

v r wy

r-+ d

d、q、0••ψd••ψd=ψq=iid=Icos(a-q),iq=Isin(a-q)qad•qad•Iθbid=－Icos(a-q)iq=Isin(a-q)id=－Icos(a0id=－Icos(a0-q0)=iq=Isin(a0-q0)=c•vd=-yd-wy•

vd

•yd+yq-•

•

vq=yq+yd- v0=-y0-•

v

f+rfi

v v

-vf=-yf-rfi•

0=yD+

=r•

0=yQ+

=wwfLdD=maD==wwfLdD=maD=LqQ=maQ=LfD=LfD=wfwfy=Li+

yd

+xadi

q

aQ

y=x

+xy=L

q

aq 0

y=- +x y=m +L +L

ad

f ad假定wDwQwf假定wDwQwfmaD==wwfmaQ=wwfw=1maD==wwwflad=maQ=mQa=wwwflaq=wf*=w*LfD=wwfwfy= i+ +L

yD=-xadid+xadif+ Da

Df D

y=

i+xyQ=mQaiq+

ad Q vd=yvq=y

yd=－xdid+xadif+xadiDyq=xqiq+vf=rfi0=0=r

y =-xadid+xfiyD=-xadid+xadif

Q =x

yQ=

q

vqvq=yd=xadif-xdid=yfd-xdid=Eq-vf=rfivd=vq=Eq-+-+-vd=

I 令Vd 令VdvdId •Vq=jvq,Iq=jiq,Eq=

• •V•V •V

IVq=Eq-jxdI•

=-jxqI••••••V=Eq-jxqIq-jxdI•=Eq-•d-xqId-q•I•••V=EQ-jxqvq=vq=Eq-xdidvd=xqVq=Eq-jxdId =-

V=Vd+V ••V jxqI••

I=Id+I•EQ

E