中国科学技术大学：《电路》课程教学资源（PPT课件）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 a a 1b 2b u u 1b b la 2a 1b b u u Nh

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

la 1b 2b u u1 a b u21 u1 A11A2 u2 A21A22 l2 u1 uI Aula a u2a A2la A 12a Aula a u1b Au la al Alb A1 u26 l16 A21b4 26 Aub Al 12 A2la a L2

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 −

uI AA A11b A12b u2 A2la A21b A22b A1A12 Aula au 12b 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

联 串 a a b b a a b 1b b

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 u2 1b 2b R1R12 u u2[R21 R b u L2 2b uia Rila ri Z1 Rib Rib i1b u2 z2 u2b Rela r z2 R21b R z26 Rila r Rub RI l1 Rela r R21b R 2 Ru Ri Rula ru Rub R R21 R Rela r22 R21b R22i

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

3、并联 a a b 1b a u1 a b u1b 2b

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 • • • •

la u 1b 2b G11G2 L2 u1b 21 z2 b 2b Glla Gauld Gub Gi2blu1b L2 l2a 126 G2la G22aJu2d LG216 G 22b八2b Glla gi2a 11b 12b ZI 21b z2 G11G2 Glla G12aG11b G12b 21 22 G2la G22aLG21b G22b

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 a b 1b a u1 a b u1b 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 • •

la 1b 2b uI HI H12 ii u1b H2l H z2 b 2b uI ula u1b H1aH1ai1a)「H1bH2i1b 2 l2 a 126 H2la H22aJu2d 21b H22blu2b Hila hi H1lb H12b LI H2la h22a H21b H z2 H1H12 Hila h12aH1lb H12b H21H22 h2la h22aH21b H22

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:

• 例： + i ki 3 1 2 + i ki 3 1 2