中国科学技术大学：《电路原理》课程教学资源（PPT课件讲稿）第3章 线性直流电路 3.14 双口网络互联

3.14双口网络互联 1、级联 b u u N b u 1b u b b

3.14 双口网络互联 • 1、级联 Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u1 + u2 i2 i1

a b uib b A11A12 L!2 A21A22 z2 u1 ula Aula al u2a A2la A2 Aula a u1b Aug Al Alb A12b)r u2b A 22a l1b A2la A22a jl a21b A 126 A 12a Alb A12b)c 12 A2la a 22a A21b422b 2

Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u1 + u2 i2 i1 21 22 11 12 A A A A = 1 1 i u 2 2 i u − a a a a A A A A 21 22 11 12 = 1 1 i u a a i u 2 2 a − a i u 1 1 = a a a a A A A A 21 22 11 12 b b i u 1 1 = a a a a A A A A 21 22 11 12 = b b b b A A A A 21 22 11 12 b b i u 2 2 − a a a a A A A A 21 22 11 12 = b b b b A A A A 21 22 11 12 2 2 i u −

L!1 Alla A12a) r A11b Ar 12 A A A2 1b A22b AuA Aula d Alb A12b A2 1b A22b

a a a a A A A A 21 22 11 12 = b b b b A A A A 21 22 11 12 2 2 i u 1 − 1 i u a a a a A A A A 21 22 11 12 = b b b b A A A A 21 22 11 12 21 22 11 12 A A A A

2、串联 a 1b 2b b Nb b 2a i u a 1b 2b lb b 2b

2、串联 Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2

la a u 1b 2b 1 RI R12 iI u1b 12 R21R22 2b z1 ula u1b R R Rib R12b i1b u2 2 u2b R2la R22a[i2a LR216 R22bLi2b Rila ri Rib RI L1 Rela r R21b R22b R1R12 R1laR12a「RbR12b R21R22 Rela r22a +R21b R22b

Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2 2 1 i i 2 1 u u 21 22 11 12 R R R R = = a a u u 2 1 + b b u u 2 1 2 1 u u a a i i 2 1 a a a a R R R R 21 22 11 12 = + b b i i 2 1 b b b b R R R R 21 22 11 12 a a a a R R R R 21 22 11 12 = + 2 1 i i b b b b R R R R 21 22 11 12 a a a a R R R R 21 22 11 12 = + b b b b R R R R 21 22 11 12 21 22 11 12 R R R R

并 联 a b b b Nb b 2 a u a b 2 b b b b

3、并联 Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2 • • • •

u1 a 1b 2b 1 Gul Gu2 2 G21 G Ib L2 u2b Z1 ZI G11b G12bu1b 2 12 126 21a l2a 21b 22bJLu 2 b G1lb G12b ZI 21b z2 G11G12 ∠a Gelb G12b 2la 21b 22b

Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2 • • • • 2 1 u u 21 22 11 12 G G G G = 2 1 i i 2 1 i i = a a i i 2 1 + b b i i 2 1 a a u u 2 1 a a a a G G G G 21 22 11 12 = + b b u u 2 1 b b b b G G G G 21 22 11 12 a a a a G G G G 21 22 11 12 = + 2 1 u u b b b b G G G G 21 22 11 12 a a a a G G G G 21 22 11 12 = + b b b b G G G G 21 22 11 12 21 22 11 12 G G G G

4、混联 a 1b 2b b Nb b 2a u a 1b 2b lb b 2b

4、混联 Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2 • •

u a 1b 2b u1 HI H 12 H21 H Ib 22LL2 b z1 uia u1b Hub HI 126 b 12 12 a z26 H2la H22alu2d H21b H22bLu2b Hula hi 11b Z1 Hela h 21b H 22b z2 Ha Ha= lla H、xH2b 116 Hi h2la h 22a H 22b

Na + i1a + i2a u2a u1a Nb + i1b + i2b u1b u2b + u2 + u1 i1 i2 • • • 2 1 u i 21 22 11 12 H H H H = 2 1 i u 2 1 i u = a a i u 2 1 + b b i u 2 1 a a u i 2 1 a a a a H H H H 21 22 11 12 = + b b u i 2 1 b b b b H H H H 21 22 11 12 a a a a H H H H 21 22 11 12 = + 2 1 u i b b b b H H H H 21 22 11 12 a a a a H H H H 21 22 11 12 = + b b b b H H H H 21 22 11 12 21 22 11 12 H H H H

例: 3◆k 3 k

• 例： + i ki 3 1 2 + i ki 3 1 2