313 L2+ 网孔电流完备 l1 3 BR。l6 12=-m2 13=2 m3 R R 2 4=lmmi R m 2 L5=ImI=lm2 S 6 = 3 2 D 独立一不受KCL约束(流入节点,又流出)
21 R1 + us1 - B R2 + us2 - A C R5 R4 R6 R3 D i1 i4 i6 i3 i5 i2 - us3 + + us4 - im1 im2 im3 独立— 不受KCL约束(流入节点,又流出) 网孔电流完备 1 m1 i = i 2 m2 i = −i 3 m3 i = i 4 m3 m1 i = i − i 5 m1 m2 i = i − i 6 m3 m2 i = i − i
R 313 列KvL: 网孔1 L SI4BR。l6 C R R R+ m2 sI l5 1l0+R1 D +s4+R4(m1-in3)+R(n1-in2)=0
22 R1 + us1 - B R2 + us2 - A C R5 R4 R6 R3 D i1 i4 i6 i3 i5 i2 - us3 + + us4 - im1 im2 im3 列KVL: 网孔1 ( ) ( ) 0 4 4 1 3 5 1 2 1 1 1 + + − + − = − + S m m m m S m u R i i R i i u R i
R 313 网孔2 L 4 B R+ C R R m2 sI l5 R 2 +u D +R5(in2-im1)+R6(im2-im3)=0
23 R 1+ us1- B R 2+us2- A C R 5 R 4 R 6 R3 D i 1 i4 i6 i3 i5 i2 - us3 + + us4 - im1 im2 im3 网孔 2 ( ) ( ) 0 5 2 1 6 2 3 2 2 2 + − + − = +m m m m m S R i i R i i R i u
R 313 网孔3 L 4 B C R R R+ m2 sI l5 R2 u D +R6(in3-in2)+R4(in3-im1)-s=0
24 R 1+ us1- B R 2+us2- A C R 5 R 4 R 6 R3 D i 1 i4 i6 i3 i5 i2 - us3 + + us4 - im1 im2 im3 网孔 3 ( ) ( ) 0 6 3 2 4 3 1 4 3 3 3 + − + − − = −m m m m S m S R i i R i i u R i u
uo trit S4 +r(i R5(m1-in2)=0 R2im2 +us2+Rs (imr -im)+r(im2-im3)=0 R +R 6(m3 +Ra(i u 0 整理 (R+R4+RSim-RSim2-R4im3=usi -us4 Rsim+(r2+rs+rim2 -Rgi R4im-Rgim2+(r3+R4+R5im3=us3 +us4
25 ( ) 0 ( ) 5 1 2 1 1 1 4 4 1 3 + − = − + + + − m m S m S m m R i i u R i u R i i ( ) 0 ( ) 4 3 1 4 3 3 3 6 3 2 + − − = − + − m m S m S m m R i i u R i v R i i R 2im 2 + u S 2 + R 5 (im 2 −im1) + R 6 (im 2 −im 3 ) = 0 整理1 4 5 1 5 2 4 3 1 4 ( ) m m m uS uS R + R + R i − R i − R i = − 5 1 2 5 6 2 6 3 2 ( ) m m m uS − R i + R + R + R i − R i = − 4 1 6 2 3 4 5 3 3 4 ( ) m m m uS uS − R i − R i + R + R + R i = +