K1 |
~u(t) |
R |
L |
.2.1.
( 1)
:
i(t) = i(t) + i(t). (2.1)
(.2.2) (t = ∞).
~u(t) |
R |
L |
i(t) |
.2.2.
(t = ∞)
:
Im = = = e(ψ - arctg )t .
i(t) = Imsin(ωt + φ),
Im = = - ;
Um ;
φ = ψ arctg - .
i(t) = sin(ωt + ψ arctg ). (2.2)
i(t) , (.2.3).
R |
Lp |
.2.3.
Z(p) = Lp + R
Z(p) = 0
R + Lp = 0, p = - .
,
i(t) = Aept = Ae- t. (2.3)
A. (2.2) (2.3) (2.1),
i(t) = sin(ωt + ψ arctg ) + Ae- t (2.4)
t = 0 (2.4)
i(0) = sin(ψ arctg ) + A. (2.5)
, , , .. i(0) = i(0-) = i(0+), , i(0) = 0. (2.5), A
0 = sin(ψ arctg ) + A,
A= - sin(ψ arctg ).
(2.4) ,
i(t) = sin(ωt + ψ arctg )- sin(ψ arctg )e- t
.2
i(t) = sin(314t - arctg )- sin(- arctg )e- t =
=3,297sin(314t 2,146) + 2,766 e-66,667t . (2.6)
, sin(ωt + ψ arctg ) = 1;
ωt + ψ arctg = ;
t = ( - ψ + arctg )/ω = ( + + arctg )/314 = 0,01184007 .
(2.6) t = 0,01184007
Imax = 3,297sin(314∙0,01184007 2,146) + 2,766 e-66,667∙0,01184007 = 4,553 .
|
|
, = 1,38 .
:
.
(.2.4). [1] 3∙t3 = 0,045 c.
. R3 , .
, 1 . 2 . , :
iR3(t) = 0,862 + 11,982e-50,101 t sin(122,742 t 0,072) .
, :
iR3(t) = 0,862 + 11,895e-50,101 t sin(122,742 t 0,072) .
, 5%, .
. , , . , 1,38 .
.
1. 2 / . .. , .. , : , 1997. 16 .
2. . . . .: , 1968. - 720 .
3. .. . - .: . , 1973.-752 .
4. / .. . .: , 1989. -528 .
5. - / . .. , .. , : , 1997. - 32 .