Toshkent transport insituti elektromexanika fakulteti Et 720 gurux talabasi Aliberdiyev Sheralining Energetikaning matematik masalalri fanidan

Toshkent transport insituti elektromexanika fakulteti

Et 720 gurux talabasi Aliberdiyev Sheralining

Energetikaning matematik masalalri fanidan

2 – Hisob grafik ishi

№

Sxema

E1

E2

R1

R2

R3

R4

R5

R6

J1

J2

J3

V

V

Om

Om

Om

Om

Om

Om

A

A

A

6

6

2е j20 ͦ

6е j60 ͦ

16е j0 ͦ

10+j8

12-j6

8е j120 ͦ

12е j45 ͦ

-j10

8

4

4

O‘zgaruvchan tok elektr sxemaning shoxobchalaridagi kompleks toklar aniqlansin.

E1=2e ^j1200 E2=6e ^j1200

J1=8А; J2 =4А; J3=4A; Z_{1 =}16e ^j00Ом; Z₂ =(16+j8)Ом; Z₃ =(12-j6) Ом Z4 =8e ^j1200 Ом; Z₅ =16e ^j450 Ом; Z_{6 =} -j10 Ом.

EYUKalar matritsasi;

2e ^j1200

6e ^j1200

E= 0

0

0

0



z₂, z₅, z_{6 =}daraxt qarshiliklari;

z₁, z₃, z₄ =vatar qarshiliklari.

1.6-rasm

Mos ravishda graf daraxti va vatari qarshiliklari matritsalari:

10+j8 0 0 16 0 0

Z aa= 0 8.5+j8.5 0 Zbb= 0 12-j6 0

0 0 -j10 0 0 -4+7j

Berilma toklar matritsasi:

8

J = 4

4

Daraxt uchun taqsimlanish koeffitsientlari matritsasi:

t u g u n

sha 0 -1 0

C0= hob 1 0 0

cha 0 0 1

Graf uchun kontur bog‘lanishlar (intsidentsiyalarning ikkinchi) to‘la matritsasi:

s h o x o b ch a

KO I 0 1 0 -1 1 0

N= TU II 0 -1 -1 0 0 -1

R III -1 0 0 0 -1 1

Graf daraxti uchun mos ravishda Na va transponirlangan Na_tkonturlar matritsalar:

s h o x o b ch a

Kon 1 1 0 1 -1 0

Na= tu -1 0 -1 Nat = 1 0 -1

R 0 -1 1 0 -1 1

Vatar shoxobchalaridagi toklarni hisoblaymiz:

Matritsalarni formulaga qo‘yib amallarni bajaramiz:

16 0 0 1 1 0 10+j8 0 0 1 -1 0

Zbb+Na*Zaa Zat = 0 12-j6 0 + -1 0 -1 0 8.5+j8.5 0 * 1 0 -1 =

0 0 -4+j7 0 -1 1 0 0 -j10 0 -1 1

Shu matritsaning teskarisini hisoblaymiz:

N*E-Na*Zaa*C0*J amallarni bajaramiz


* - *

Amallarni bajarishni davom ettiramiz

Daraxt shaxobchalaridagi toklarni topamiz

Amallarni bajarishdagi songgi ish


Tekshirish

Birinchi tugun toklarini tekshirish

J2+I2+I4-I3=0

4+23.9+3.04j-25.0073-3.674j-2.89+0.308j=0

Ikkinchi tugun uchun

J1+I1-I5-I4=0

8+8.827-0.401j-41.8-3.3j-25.0073+3.674j=0

Uchinchi tugun uchun

J3+I3-I6-I1=0

4+2.89-0.308j+1.9-0.09j-8.827+0.401j=0

Balans tugun toklarini tekshirish

J1+J2+J3+I2-I5-I6=0

8+4+4+23.9+3.04j-41.8-3.3j+1.9-0.09j=0