Расчет для 1 гармоники.
1·Y112·Y123·Y134·Y146·Y16=I11
1·Y212·Y223·Y234·Y246·Y26=I22
1·Y312·Y323·Y334·Y346·Y36=I33
1·Y412·Y423·Y434·Y446·Y46=I44
1·Y612·Y623·Y634·Y646·Y66=I66
2,888-j10,82 B
Рассчитаем сопротивления ветвей
Z1=j·-1/(·C2)=j·-1/(314,2·50·10-6)=-j63,66
Z2=R3=5=5
Z3=R2+j·-1/(·C3)=5+j·-1/(314,2·50·10-6)=5-j63,66
Z4=j·-1/(·C1)=j·-1/(314,2·50·10-6)=-j63,66
Z5=R1+j··L1=5+j·314,2·0,07=5+j21,99
Z6=j·-1/(·C4)=j·-1/(314,2·50·10-6)=-j63,66
Z7=R4+j··L4=5+j·314,2·0,07=5+j21,99
Z8=R5=5=5
Z10=j··L3=j·314,2·0,07=j21,99
Z11=j·-1/(·C6)=j·-1/(314,2·50·10-6)=-j63,66
Z12=R6=5=5
Z13=j·(·L2-1/(·C5))=j·(314,2·0,07-1/(314,2·50·10-6))=-j41,67
Y11=1/Z1+1/Z4+1/Z5=0,009831-j0,01182
Y12=Y21=-(1/Z1)=-j0,01571
Y13=Y31=0
Y14=Y41=0
Y16=Y61=0
Y22=1/Z1+1/Z2+1/Z3=0,2012+j0,03132
Y23=Y32=-(1/Z2)=-0,2
Y24=Y42=0
Y26=Y62=0
Y33=1/Z2+1/Z6+1/Z7=0,2098-j0,02753
Y34=Y43=-(1/Z6+1/Z7)=-0,009831+j0,02753
Y36=Y63=0
Y44=1/Z6+1/Z7+1/Z8+1/Z13+1/Z10+1/Z11=0,2098-j0,0333
Y46=Y64=-(1/Z10+1/Z11)=j0,02976
Y66=1/Z10+1/Z11+1/Z12=0,2-j0,02976
Рассчитаем узловые токи
I11=-E1/Z5=(-2,888+j10,82)/(5+j21,99)=-0,4963+j0,01849
I22==0
I33==0
I44==0
I66==0
(0,009831-j0,01182)·1+-j0,01571·2=-0,4963+j0,01849
-0,2·2+(0,2098-j0,02753)·3+(-0,009831+j0,02753)·4=0
(-0,009831+j0,02753)·3+(0,2098-j0,0333)·4+j0,02976·6=0
j0,02976·4+(0,2-j0,02976)·6=0
1=-13,39-j11,15
2=1,921-j14,82
3=3,378-j13,56
4=-1,395-j1,27
6=-0,2151+j0,1756
7=0
I1=12)/Z1=-0,05773-j0,2405; U1=12 = -15,311+j3,67
I2=23)/Z2=-0,2915-j0,2523; U2=23 =-1,457-j1,26
I3=27)/Z3=0,2338+j0,01181; U3= 1,921-j14,82
I4=17)/Z4=0,1751-j0,2103; U4= -13,39-j11,15
I5=17+E1)/Z5=-0,1174+j0,4507 U5= -10,502-j21,97
I6=34)/Z6=0,1931+j0,07498 U6=4,773-j12,29
I7=34)/Z7=-0,4846-j0,3272 U7=4,773-j12,29
I8=47)/Z8=-0,279-j0,2539 U8=-1,395-j1,27
I10=46)/Z10=-0,06571+j0,05365 U10=-1,1799-j1,4456
I11=46)/Z11=0,0227-j0,01853 U11=-1,1799-j1,4456
I12=67)/Z12=-0,04301+j0,03512 U12=-0,2151+j0,1756
I13=47)/Z13=0,03047-j0,03347 U13=-1,395-j1,27
i1=0.2473sin(t-0.2405) ; u1=15.74sin(t+166.52) ;
i2=0,3855sin(t-139.123) ; u2=1.93sin(t-139.15) ;
i3=0.2341sin(t+2.9817) ; u3=14.94sin(t-82.61) ;
i4=0.2737sin(t-50.2186) ; u4=17.42sin(t-140.215) ;
i5=0.4657sin(t+104.60) ; u5=24.35sin(t-115.54) ;
i6=0.2071sin(t+21.221) ; u6=13.18sin(t-68.77) ;
i7=0,5847sin(t-0,3272); u7=13.18sin(t-68.77) ;
i8=0.3772sin(t-137.69) ; u8=1.89sin(t-137.69) ;
i10=0.0848sin(t+140.77) ; u10=1.866sin(t-129.22) ;
i11=0.0293sin(t-39.22) ; u11=1.866sin(t-129.22) ;
i12=0,0555sin(t+140.77) ; u12=0.277sin(t+140.77) ;
i13=0.0453sin(t-47.69) ; u13=1.89sin(t-137.69) ;
Баланс мощностей
-|I|21·j/C·2)+|I|22·R3+|I|23·R2-|I|23·j/C·3)-|I|24·j/C·1)+|I|25·R1+|I|25·j·L1-|I|26·j/C·4)+|I|27·j·L4+|I|27·R4+|I|28·R5+|I|210·j·L3-|I|211·j/C·6)+|I|212·R6-|I|213·j/C·5)+|I|213·j·L2=-j3,893+0,7431+0,274-j3,489-j4,768+1,085+j4,771-j2,732+j7,52+1,71+0,7115+j0,1583-j0,05467+0,01542-j0,1304+j0,04505=4,539-j2,572
(Re(I5)-j·Im(I5))·E1=4,539-j2,572=4,539-j2,572