1 2 3
1 2 3
20 0 4 3, ,8 9 16 20 20
1.2 45
20 0 31.2 458 9 16 20
20 0 1 1 31.2 458 9 8 9 16 20
12.43 81.212.43cos(250 81.2 )
a a a a a
a a a
a
a
a
V V V V VI I Ij j j j
I I I
V V Vj j j
Vj j j j
Vv t
MATLAB>> Vs=20;>> Is=1.2*exp(j*45*pi/180);>> Va=(Vs/(8+9*j)+Is)/(1/(8+9*j)-1/(16*j)-3/(20*j))
Va =
1.8929 -12.2816i
>> abs(Va)
ans =
12.4267
>> angle(Va)*180/pi
ans =
-81.2381
1 1 1 3 1 3
2 1 2 3
3 1 3 3 2
100 40 25( ) 200( ) 0200( ) 80( ) 45 0
25( ) 160 80( ) 0
I j I j I I I II I j I I
j I I j I j I I
MATLAB>> A=[300+j*65 -200 -j*25;-200 200-j*80 j*80;-j*25 j*80 -j*215]
A =
1.0e+02 *
3.0000 + 0.6500i -2.0000 + 0.0000i 0.0000 - 0.2500i-2.0000 + 0.0000i 2.0000 - 0.8000i 0.0000 + 0.8000i0.0000 - 0.2500i 0.0000 + 0.8000i 0.0000 - 2.1500i
>> format shortg>> A
A =
300 + 65i -200 + 0i 0 - 25i-200 + 0i 200 - 80i 0 + 80i
0 - 25i 0 + 80i 0 - 215i
MATLAB>> I=inv(A)*[0;45;0]I =
0.36131 + 0.097915i0.52013 + 0.24536i0.15152 + 0.07991i
>> abs(I)ans =
0.374340.57510.1713
>> angle(I)*180/pians =
15.16325.25427.806
12 1
1
1 2 1 11 2 1 1 2
1 2 1 2
1 1
1 2 1 2
, 10
10 10 0
110 0
S
S
V VI I V VR
V V V V II Z Z V Z Z IZ Z Z Z
R V VZ Z Z Z I
MATLAB>> Z1=5-j*5Z1 =
5.0000 - 5.0000i>> Z2=5+j*5Z2 =
5.0000 + 5.0000i>> A=[1 10;Z1+Z2 Z1*(10-Z2)]A =
1.0000 + 0.0000i 10.0000 + 0.0000i10.0000 + 0.0000i 0.0000 -50.0000i
>> x=inv(A)*[10;0]x =
2.0000 + 4.0000i0.8000 - 0.4000i
>> abs(x)ans =
4.47210.8944
>> angle(x)*180/pians =
63.4349-26.5651