1.
6* = {1,12}: i1 = J1 i12 = J12
3 = {4}: u4 = u4(t)
5* = {9,11,14}: i9 = i9(t) i11 = i11(t) i14 = i14(t)
2.
4 4* , R-
Ψ\ Ψ4 = {1,2,3,4,5,6,9,10,11,12,13,14}\{2,3,5,6} = {1,4,9,10,11,12,13,14}
4 = {2,3}
= 2
:
:
:
= 3
:
:
R-:
L-:
Ψ\ Ψ5 = {1,2,3,4,5,6,9,10,11,12,13,14}\{9,10,11,13,14} = {1,2,3,4,5,6, 12}
5 = {10,13}
= 10
:
:
:
= 13
:
:
:
: = {4,2,3,10,13}
Λ = [-4+5-k·9+k·11][-2+1-6][-3+6-5+k·9-k·11][-10+11+12-14][-13+12-14]
: * = {5,6,9,11,14,1,12}
Θ = [-5-4+3][-6+2-3][-9+k·4-k·3][-11-k·4+k·3-10][-14+10+13][-1-2][-12-10-13]
B∩ Ψ3 = {4}
B*∩ Ψ5 = {9,11,14}
10. :
i1 = J1
i12 = J12
u4 = u4(t)
i9 = i9(t)
i11 = i11(t)
i14 = i14(t)
,
----------------------------------------------------------------------------
w(1-1) = i(1-1)
w(9-1) = i(9-1)
w(11-1) = i(11-1)
w(6-1) = 0
w(5-1) = [-u(4-1)] / R(5-1)
[1/R(2-1)+1/R(6-1)]*u(2-1) + [-1/R(6-1)]*u(3-1) = w(1-1)-w(6-1)
[-1/R(6-1)]*u(2-1) + [1/R(3-1)+1/R(5-1)+1/R(6-1)]*u(3-1) = -w(5-1)+w(6-1)+2.
00000*w(9-1)-2.00000*w(11-1)
----------------------------------------------------------------------------
i(5-1) = [u(3-1)-u(4-1)] / R(5-1)
i(6-1) = [u(2-1)-u(3-1)] / R(6-1)
----------------------------------------------------------------------------
w(12-1) = dJ(12-1)/dt
w(11-1) = [2.00000*u(3-1)-2.00000*u(4-1)] / L(11-1)
w(14-1) = 0
[1/L(10-1)+1/L(11-1)+1/L(14-1)]*u(10-1) + 1/L(14-1)*u(13-1) = w(11-1)+w(12-1
)-w(14-1)
1/L(14-1)*u(10-1) + [1/L(13-1)+1/L(14-1)]*u(13-1) = w(12-1)-w(14-1)
|
|
----------------------------------------------------------------------------
u(1-1) = -u(2-1)
u(5-1) = u(3-1)-u(4-1)
u(6-1) = u(2-1)-u(3-1)
u(9-1) = -2.00000*u(3-1)+2.00000*u(4-1)
u(11-1) = 2.00000*u(3-1)-2.00000*u(4-1)-u(10-1)
u(12-1) = -u(10-1)-u(13-1)
u(14-1) = u(10-1)+u(13-1)
----------------------------------------------------------------------------
i(2-1) = i(1-1)-i(6-1)
i(3-1) = -i(5-1)+i(6-1)+2.00000*i(9-1)-2.00000*i(11-1)
i(4-1) = i(5-1)-2.00000*i(9-1)+2.00000*i(11-1)
i(10-1) = i(11-1)+i(12-1)-i(14-1)
i(13-1) = i(12-1)-i(14-1)
----------------------------------------------------------------------------
du(4-1)/dt = [i(5-1)-2.00000*i(9-1)+2.00000*i(11-1)] / C(4-1)
----------------------------------------------------------------------------
di(9-1)/dt = [-2.00000*u(3-1)+2.00000*u(4-1)] / L(9-1)
di(11-1)/dt = [2.00000*u(3-1)-2.00000*u(4-1)-u(10-1)] / L(11-1)
di(14-1)/dt = [u(10-1)+u(13-1)] / L(14-1)
----------------------------------------------------------------------------
12.
:
:
U = 110 ; S = 2500 ; f = 50 ; r = 0.1x; t = 0.04
:
= 4.82 r = 0.44
:
: i1 = 33052 A
: I1m = 18671
: = i1 / I1m = 1.77
MathCad:
:
:
( i) ( ) ( ), :
: i(tk) = i+i= 0, = -i(tk)
:
:
i(t):
:
: i1 = 32492 A
:
: = i1 / I1m = 1.75
i(t)