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giai bai tap mach

-------------------------De 267------------------------------------

Su co ngang:Pha B cham pha C cham dat sau tai 1 sau Zd2 truoc tai 2

nguon:Ef=220

ef =

220

tai 1 mac tam giac:z11=z12=z10=6-6i

z11_tamgiac =

6 - 6i

z12_tamgiac =

6 - 6i

z10_tamgiac =

6 - 6i

tai1da mac sao: z11=z12=z10=2-2i

z11 =

2 - 2i

z12 =

2 - 2i

z10 =

2 - 2i

tai2: z21=6+8i;z22=0.1+2i;z20=2+4i

z21 =

6 + 8i

z22 =

1 + 2i

z20 =

2 + 4i

duong day: a1=2;b=0.5;c=1

a1 =

2

b =

0.5

c =

1

trong do: a1=xd11=xd21;b=xd12=xd22;c=xd10=xd20

xd11 =

2

xd21 =

2

xd12 =

0.5

xd22 =

0.5

xd10 =

1

xd20 =

1

toan tu quay: a=exp(i*120)

a =

-0.5 + 0.866025403784439i

trung tinh: zn1=j*10;zn2=10;zn3=5

zn1 =

0 + 10i

zn2 =

10

zn3 =

5

--------------------------Loi giai-------------------------------------

Voi su co 2 day BC cham nhau cahm dat(su co ngang) Lam thay doi tong tro cach dien cua cac pha.Nen ta thay vao he dien ap mac // voi su co(Chuyen tai 1 dang tam giac ve sao )Coi Ea=220|0 Tach pha A de giai ta co:

tong tro day la:

zd11 =

0 + 2i

zd21 =

0 + 2i

zd12 =

0 + 0.5i

zd22 =

0 + 0.5i

zd10 =

0 + 1i

zd20 =

0 + 1i

1----------------tren so do thu tu thuan

zv1 =

1.53846153846154 + 1.69230769230769i

uh =

186.153846153846 - 169.230769230769i

Phuong trinh thu tu thuan: zv1*ia1+ua1=uh

2---------------Tren so do thu tu nghich

zv2 =

0.0854700854700855 + 0.461538461538462i

-phuong trinh Nghich: zv2*ia2+ua2=0

3--------------Tren so do thu tu 0

Pt Zero: zd0*ia0+ua0=0

zv0 =

10.3072555205047 + 9.17287066246057i

Ia=0: Ia1 + Ia2 + Ia0=0

Ub=0: a^2*Ua1+a*Ua2+Ua0=0

Uc=0: a*Ua1 + a^2*Ua2 + Ua0=0

d =

Column 1

1

0.69635068332751 - 2.17850062120683i

-2.23481222178905 + 0.486192928899137i

Column 2

1

-0.442439075250938 - 0.156749965488509i

0.356968989780852 - 0.304788496049952i

Column 3

1

10.3072555205047 + 9.17287066246057i

10.3072555205047 + 9.17287066246057i

bb =

0

-239.635068332751 - 76.5985751660262i

53.4812221789051 + 245.829344396795i

i =

-8.08962323604121 - 93.1570749007006i

9.71772772014291 + 90.5223820250025i

-1.62810448410169 + 2.63469287569813i

====>Giai he voi cac an ia(k) ta duoc nghiem

ia1 =

-8.08962323604121 - 93.1570749007006i

ia2 =

9.71772772014291 + 90.5223820250025i

ia0 =

-1.62810448410169 + 2.63469287569813i

=>Dien ap la:

ua1 =

40.9489859158009 - 12.2220608302371i

ua2 =

40.9489859158009 - 12.2220608302371i

ua0 =

40.9489859158009 - 12.2220608302371i

5-----------tinh dong ap tren so do thuan

u,i day 11

ida11 =

6.11103041511853 - 89.5255070420996i

modul_ida11 =

89.7338347775215

alpha_ida11 =

-86.095035223362

uda11 =

179.051014084199 + 12.2220608302371i

modul_uda11 =

179.467669555043

alpha_uda11 =

3.904964776638

u,i tai 11, 12 va u,i day 21

ia11 =

13.2927616865095 + 7.18173127139095i

modul_ia11 =

15.1087649167233

alpha_ia11 =

28.3811920994284

ua11 =

40.9489859158009 - 12.2220608302371i

modul_ua11 =

42.7340405118738

alpha_ua11 =

-16.6188079005716

ida21 =

0.907891964650254 - 3.55016341278993i

modul_ida21 =

3.6644137426045

alpha_ida21 =

-75.6550513684981

uda21 =

7.10032682557986 + 1.81578392930051i

modul_uda21 =

7.328827485209

alpha_uda21 =

14.3449486315019

ia21 =

0.907891964650254 - 3.55016341278993i

modul_ia21 =

3.6644137426045

alpha_ia21 =

-75.6550513684981

ua21 =

33.8486590902209 - 14.0378447595375i

modul_ua21 =

36.644137426045

alpha_ua21 =

-22.5249490143421

6-----------------------tren so do nghich

u,i tai 22 va u,i day22

ia22 =

1.43363225382181 - 15.8061414647916i

modul_ia22 =

15.8710242090485

alpha_ia22 =

-84.8173984142199

ua22 =

33.0459151834051 - 12.938876957148i

modul_ua22 =

35.4886890039773

alpha_ua22 =

-21.3824495912979

ida22 =

1.43363225382181 - 15.8061414647916i

modul_ida22 =

15.8710242090485

alpha_ida22 =

-84.8173984142199

uda22 =

7.90307073239581 + 0.716816126910904i

modul_uda22 =

7.93551210452425

alpha_uda22 =

5.18260158578014

u,i tai 12 va u,i day12

ia12 =

13.2927616865095 + 7.18173127139094i

modul_ia12 =

15.1087649167233

alpha_ia12 =

28.3811920994283

ua12 =

40.9489859158009 - 12.2220608302371i

modul_ua12 =

42.7340405118739

alpha_ua12 =

-16.6188079005717

ida12 =

24.4441216604742 + 81.8979718316018i

modul_ida12 =

85.4680810237477

alpha_ida12 =

73.3811920994283

uda12 =

-40.9489859158009 + 12.2220608302371i

modul_uda12 =

42.7340405118739

alpha_uda12 =

163.381192099428

ans =

7-----------------------tren so do thu tu 0

u,i tai10

ia10 =

13.2927616865095 + 7.18173127139095i

modul_ia10 =

15.1087649167233

alpha_ia10 =

28.3811920994283

ua10 =

40.9489859158009 - 12.2220608302371i

modul_ua10 =

42.7340405118739

alpha_ua10 =

-16.6188079005717

u,i tai 20

ia20 =

2.02236451088353 - 1.31375784615616i

modul_ia20 =

2.41162142410829

alpha_ia20 =

-33.0083482346064

ua20 =

9.29976040639172 + 5.46194235122181i

modul_ua20 =

10.785098880602

alpha_ua20 =

30.4266005883156

u,i day20

ida20 =

2.02236451088353 - 1.31375784615616i

modul_ida20 =

2.41162142410829

alpha_ida20 =

-33.0083482346064

uda20 =

1.31375784615616 + 2.02236451088353i

modul_uda20 =

2.41162142410829

alpha_uda20 =

56.9916517653936

u,i day10

ida10 =

0.394260026781842 + 1.32093502954196i

modul_ida10 =

1.3785174358669

alpha_ida10 =

73.3811920994283

uda10 =

-1.32093502954196 + 0.394260026781842i

modul_uda10 =

1.3785174358669

alpha_uda10 =

163.381192099428

u,i trung tinh tren N1 ,N2va N3 voi ua0 va ia0 la dong ap tren 3n1 va 3n3

in1 =

0.394260026781842 + 1.32093502954196i

modul_in1 =

1.3785174358669

alpha_in1 =

73.3811920994283

in3 =

2.02236451088353 - 1.31375784615616i

modul_in3 =

2.41162142410829

alpha_in3 =

-33.0083482346064

un1 =

-39.6280508862589 + 11.8278008034553i

modul_un1 =

41.355523076007

alpha_un1 =

163.381192099428

un2 =

0

un3 =

30.335467663253 - 19.7063676923424i

modul_un3 =

36.1743213616243

alpha_un3 =

-33.0083482346064

8------------------Xep chong ket qua:

a)U&I tren pha A (tai 1 van dang sao):

ua =

122.846957747403 - 36.6661824907113i

modul_ua =

128.202121535622

alpha_ua =

-16.6188079005717

ia =

1.33226762955019e-014 + 5.32907051820075e-015i

modul_ia =

1.43489615046764e-014

alpha_ia =

21.8014094863518

uda1 =

136.781093138856 + 24.838381687256i

modul_uda1 =

139.018029928144

alpha_uda1 =

10.2923133334662

ida1 =

30.9494121023746 - 6.30660018095583i

modul_ida1 =

31.5854288450393

alpha_ida1 =

-11.5175466869486

uda2 =

16.3171554041318 + 4.55496456709495i

modul_uda2 =

16.9409935567569

alpha_uda2 =

15.5971754901063

ida2 =

4.3638887293556 - 20.6700627237377i

modul_ida2 =

21.1256956771948

alpha_ida2 =

-78.0787073226697

uat2 =

76.1943346800177 - 21.5147793654637i

modul_uat2 =

79.1736216708263

alpha_uat2 =

-15.7679380914794

iat2 =

4.3638887293556 - 20.6700627237377i

modul_iat2 =

21.1256956771948

alpha_iat2 =

-78.0787073226697

uat1 =

122.846957747403 - 36.6661824907113i

modul_uat1 =

128.202121535622

alpha_uat1 =

-16.6188079005717

iat1 =

39.8782850595285 + 21.5451938141728i

modul_iat1 =

45.32629475017

alpha_iat1 =

28.3811920994284

b---------------------dong ap tren cac nhanh cua pha B

ub =

4.2632564145606e-014 + 1.59872115546023e-014i

modul_ub =

4.55315984665685e-014

alpha_ub =

20.5560452195835

ib =

-161.513232577141 + 19.3736576157078i

modul_ib =

162.671026636363

alpha_ib =

173.159999888752

udb1 =

-70.3719491137412 - 202.353389636032i

modul_udb1 =

214.240765306836

alpha_udb1 =

-109.176017683987

idb1 =

-163.340403520745 + 21.011625383167i

modul_idb1 =

164.686295190469

alpha_idb1 =

172.669895465063

udb2 =

-5.23620689802112 + 1.45126109881362i

modul_udb2 =

5.43360114986495

alpha_udb2 =

164.508815781641

idb2 =

11.4655907429055 + 8.81969903885016i

modul_idb2 =

14.4653676835293

alpha_idb2 =

37.5686355171688

ubt1 =

4.2632564145606e-014 + 1.77635683940025e-014i

modul_ubt1 =

4.61852778244065e-014

alpha_ubt1 =

22.6198649480404

ibt1 =

7.105427357601e-015 + 1.68753899743024e-014i

modul_ibt1 =

1.8310267194089e-014

alpha_ibt1 =

67.1663458220824

ubt2 =

-25.0992607652318 + 18.2551065935289i

modul_ubt2 =

31.0358149192542

alpha_ubt2 =

143.970986135318

ibt2 =

11.4655907429055 + 8.81969903885016i

modul_ibt2 =

14.4653676835293

alpha_ibt2 =

37.5686355171688

c-------------------Dong ap tren cac nhanh cua pha C

uc =

-2.8421709430404e-014 + 1.77635683940025e-015i

modul_uc =

2.8477166477148e-014

alpha_uc =

176.423665625003

ic =

156.628919124836 - 11.4695789886134i

modul_ic =

157.048303233083

alpha_ic =

-4.18816404089998

udc1 =

-70.371949113741 + 178.697788029121i

modul_udc1 =

192.054967831003

alpha_udc1 =

111.494731258454

idc1 =

133.573771498716 - 10.7422201135853i

modul_idc1 =

134.005028731611

alpha_idc1 =

-4.5979243134626

udc2 =

-7.13967496764223 + 0.0608678667420421i

modul_udc2 =

7.139934421322

alpha_udc2 =

179.51154815855

idc2 =

-9.76238593961048 + 7.90909014641908i

modul_idc2 =

12.5641508339437

alpha_idc2 =

140.987008146351

uct1 =

-2.8421709430404e-014 + 3.5527136788005e-015i

modul_uct1 =

2.86428933843956e-014

alpha_uct1 =

172.874983651098

ict1 =

-7.105427357601e-015 - 5.32907051820075e-015i

modul_ict1 =

8.88178419700125e-015

alpha_ict1 =

-143.130102354156

uct2 =

-23.1957926956108 + 19.6454998256003i

modul_uct2 =

30.3972114210401

alpha_uct2 =

139.737323155028

ict2 =

-9.76238593961048 + 7.90909014641908i

modul_ict2 =

12.5641508339437

alpha_ict2 =

140.987008146351

izn1 =

1.18278008034553 + 3.96280508862589i

modul_izn1 =

4.1355523076007

alpha_izn1 =

73.3811920994283

izn3 =

6.0670935326506 - 3.94127353846849i

modul_izn3 =

7.23486427232486

alpha_izn3 =

-33.0083482346064

uzn1 =

-39.6280508862589 + 11.8278008034553i

modul_uzn1 =

41.355523076007

alpha_uzn1 =

163.381192099428

uzn3 =

30.335467663253 - 19.7063676923424i

modul_uzn3 =

36.1743213616243

alpha_uzn3 =

-33.0083482346064

10-------------------------tinh cong suat thu tren tai

tren day1

sd11 =

4.54747350886464e-013 + 48312.9666232771i

sd12 =

0 + 10957.1893108229i

sd10 =

-2.22044604925031e-016 + 5.70093096296715i

sd1 =

4.54525306281539e-013 + 59275.856865063i

tren day 2

sd21 =

0 + 80.5675684619324i

sd22 =

0 + 377.834114166305i

sd20 =

1.77635683940025e-015 + 17.4477536796542i

sd2 =

1.77635683940025e-015 + 475.849436307892i

tren tai 1

st11 =

1369.64866385286 - 1369.64866385286i

st12 =

1369.64866385286 - 1369.64866385286i

st1 =

2739.29732770571 - 2739.29732770571i

tren tai 2

st21 =

241.702705385797 + 322.270273847729i

st22 =

755.66822833261 + 1511.33645666522i

st20 =

34.8955073593084 + 69.7910147186169i

st2 =

1032.26644107772 + 1903.39774523157i

tren trung tinh

sn1 =

7.105427357601e-015 + 171.027928889014i

sn3 =

261.716305194813

sn =

261.716305194813 + 171.027928889014i

cong suat tren nguon thay the

sa1 =

2421.92870473958 + 11740.6788460518i

sa2 =

-2125.31689218547 - 11476.7112178015i

sa0 =

-296.611812554122 - 263.967628250253i

sa =

-9.77706804405898e-012 - 6.59383658785373e-012i

11--------------- tong cong suat thu tren tai

sthu =

4033.28007397824 + 59086.8346477857i

12--------------- tong cong suat phat

sph =

4033.28007397823 + 59086.8346477857i

13-------------- Can bang cong suat

p =

2.029477786273e-013

q =

2.46280162325673e-014

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