I0 :

I0 = = 30 .


k(1) R0 [1,22]:

k(1) = , (2.3)

k(1) = = 0,211.

(1.5):

I.v = ,

I.v = 30 / 12 = 15 .


I.v (1.6):

I.v = k.v I.v ,

k.v = ;

I.v = 15 = 21,21 .


I2 [1,22]:

I2 = I0 , (2.4)

I2 = 30 = 42,43 .

i0, i0, i0 -π/2≤ω≤π/2 [1,20]:

i0 = i0, + i0, =, (2.5)

E2m Ѡ E2, E2m = E2, ;

φ = - arctg() = - arctg() ≈ 56,30 .

1.


1 -

ωt

-π/2

-π/3

-π/6

0

π/6

π/3

π/2

i0,

-21,74

-11,58

1,69

14,49

23,42

26,07

21,74

i0,

49,58

34,98

24,68

17,41

12,28

8,66

6,11

i0

27,84

23,4

26,37

31,9

35,7

34,73

27,85

u0

55,7

46,8

52,74

63,8

71,4

69,46

55,7


u0 , .. u0 = i0R0 .


蠠 e2(wt), u0(wt), U0, i2(wt), i0,(wt), i0,(wt), i0(wt), .



3.   


, U0 I0 , 1.2, R0 C0.   R = R +pRV (R , RV ), k = 15 R0 . k(1) f1 , 2.1.

:

1. ( ) - .

2. E2 I2 ; C0, I.v I.v .

3. ( , 1) Ѡ e2 ( U0 2θ ), i2 ( I2) i.v ( I.v I.v).

 









3.1 -

-



k(1) = 0. : A(θ), B(θ), D(θ), F(θ), H(θ).

A(θ) [1,23]:

A(θ) = π, (3.1)

R = R0/k .


A(θ) = 3,14= 0,105

[1,23] :

B(θ) = 0,88; D(θ) = 2,45; F(θ) = 7,51; H(θ) = 8700; θ = 36,50.


Ѡ E2 [1,24]:

E2 = B(θ)U0, (3.2)

E2 = 0,8860 = 52,8 .

I2 :

I2 = D(θ)I.v, (3.3)

I.v = = 15 .

I2 = 2,4515 = 51,79 .

C0 :

C0 = (), (3.4)

C0 = = 6184,83

:

I.v = k.vI.v = D(θ) I.v, (3.5)


I.v = 2,4515 = 36,75 .


蠠 e2(wt), u0(wt), U0, i2(wt), i.v(wt), I.v, I.v .



4.


ࠠ , - , Ѡ E2, I0 , f1 , 2.1, LS, U0γ ℓ = 5% .

:

1. .

2. γ, U0γ , I2γ, , I.v I.v .

3. ( , 1) Ѡ e2, u0γ ( U0γ γ), i2 ( I2γ, γ, ).

 








4.1 -

-



[1,26]:

γ = arcos(1-2ωLsI0/E2m.), (4.1)

E2m. ,

E2m. = E2m = E2 = 94,2 ;

LS .

LS [1,26]:

U0γ = U0xx (R +ωLS)I0 , (4.2)

U0xx = U0 = 60 ;

R = 0;

ℓ %= %, (4.3)

(4.3) (4.2), LS, :

LS = , (4.4)

LS = = 0,001 LS = 1 .

γ

γ = arccos(1-223,14500,00130/94,2) = arccos(0,8) ≈ 36,87 . .

(4.3):

U0γ = U0(1-ℓ%/100) = 60(1-5/100) = 57

I2γ [1,28]:

I2γ = , (4.5)

= 42,43 ;

= 0,988 [1,28].

I2γ = 42,430,988 = 41,92 .

Iγ :

Iγ = , (4.6)

Iγ = = 14,25 .

I.v:

I.v = , (4.7)

: 1, 2, 3, 4