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ࠠ -9-94

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򠠠 14

1996

. -9-94

... E J, ... e=Em sin(wt +j) j=Jm sin(wt +j) c w =1000 c-1 , . .

:

1. , , , , .

2. .

3. i1=(t) .

1. . 1 1 N- . E=10N (), Em=10N (), J=0,4N (), Jm=0,4N (), j =30N (). L=20 , C=100 . , , . 2.

2. Dt=T/6, T=2|p|/w - . Dt =1/|p|, p - . Dt .

1. , -. .

2. , , , , .

14

:

R1=95 R2=5 R3=4 젠

C=100 Ԡ L=20

e=140sin(1000t+4200)

E

K3

R3

L

R2

C

R1

K2

K1

i2


1. :

Uc=E=140  iC=0 i1=i2=E/(R1+R2)=1,4 A

i2

1.2 :

1t=0 i2(0)=0 Uc(0)=E=140

{ i1R1=Uc

E

L

C

R1

R2

{ i2=0 (1.2.1)

{ CU'c+i1=i2

(1.2.1) i1=1,47A i2=0A U'c=-14700B/c

-: Z()=0

=0 0,000019p2+0,0675p+100=0

p1=-177,632+703.394j p2=-177,632-703.394j

.. Uc(t)=Uc(t)+Uc(t) (1.2.2)

Uc=A1ep1t+A2ep2t Uc=ER1/(R1+R2)=133B

A1 A2

Uc(0)=A1+A2+133=0 A1+A2=7 A1=3,5+9,565j

U'c(0)=A1p1+A2p2=0 A1p1+A2p2=-14700 A2=3,5-9,565j

(1.2.2) Uc(t)=e-177,632t(7cos(703.394t)-19.14sin(703.394t))+133 B

ic(t)=CU'c(t)=-e-177,632t(1.471cos(703.394t)+0.152sin(703.394t)) A

i1(t)=Uc/R1= A

i2(t)=ic(t)+i1(t)= A

1.2 :

{ I2(pL+R2)+Ic/pC=Li2(0)+E/p-Uc(0)/p

{ I2-Ic-I1=0

{ I1R1=Ic/pC-Uc(0)/p

I2,Ic,I1 頠

E/p

pL

1/pC

R1

i2

R2

LiL(0)

Uc(0)/p

ic(t)=CU'c(t)=-e-177,632t(1.471cos(703.394t)+0.152sin(703.394t)) A

i1(t)=Uc/R1= A

i2(t)=ic(t)+i1(t)= A

E

C

R1

i2

2. :

Dt=T/6=|p|/3w=0,001

Uc(Dt)=133,939

2.2 :

R2

-: Z()=0

=0 p=-2105,63

Uc(t)=133 Uc(Dt)=Ae-2106,63t

Uc(Dt)=A=0.939

Uc(t)=0.939e-2106,63t+133

ic(t)=CU'c(t)=-0,198e-2106,63t A

i1(t)=Uc(t)/R1=0,0099e-2106,63t+1,4 A

i2(t)=ic(t)+i1(t)=-0,188e-2106,63t+1,4 A

2.3 :

i2

E/p

1/pC

R1

R2

Uc(0)/p

{ I1R1=Ic/pC+Uc(Dt)/p

{ I2=I1+Ic

{ I1R1+I2R2=E/p

I1,I2,I

ic(t)=CU'c(t)=-0,198e-2106,63t A

i1(t)=Uc(t)/R1=0,0099e-2106,63t+1,4 A

i2(t)=ic(t)+i1(t)=-0,188e-2106,63t+1,4 A

3 . :

3.1 :

e

E

R3

R2

C

R1

i2

3.2 :

E

R3

R2

R1

i2

| i1R1+i2R2=E

{ i2R2+i3R3=0 ---> i1=1.44sin(1000t)

| i1+i3=i2

3.3 :

{ I1R2+I3R3=E=140ej 73,27

{ I2R2-jXcIc=0

{ I1R1+jXcIc=0

R1

e

R3

R2

C

i2

{ I2-I1-I3-Ic=0

i2=14.85sin(1000t+0.83)A

i1=0.02sin(1000t+0.29) A

i1=

Uc(t)=i1/R1

Uc(t)= Uc(t)+Aept

-: Z()=0

p=

Dt=1/|p|=0.00022 c

Uc(Dt)=133.6

A=3.2

i2(t)=(E-Uc(t))/R2

2(t)=

E/p

1/pC

R1

i2

R2

Uc(0)/p

R3

E(p)


3.4 :

e=140sin(1000t+4200)

{ I1R1=Ic/pC+Uc(0)/p

{ I2R2+I3R3=E(p) =>I1,I2,I3,Ic

{ I1R1+I2R2=E/p

{ I2-I3-I1-Ic=0

I2(p)=

i2(t)=

4.

e

.

140

70

Dt

t

e=1

R3

R2

C

i2

R1


1/pC

R1

i2

R2

Uc(0)/p

R3

E(p)

Uc(0)=0

{ I2R2+I3R3=1/p

{ I1R1=Ic/pC+Uc(0)/p =>I1,I2,I3,Ic

{ I1R1+I2R2=0

{ I2-I3-I1-Ic=0

i2(t)=h(t)=

:

f(t)=140-140t/Dt

f(t)=-140/Dt

i2(t) 1-,2- 3- :

. ( .) 򠠠 .. ࠠ

 

 

 

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