Z1Z2Z3i0o++++U2U,Us+ZUUZ.Un3一0oU=U +U,+U,+..+U=Z,i+Z,i+Z,i+..+Z,i+ Z, +Z, +...+Z,)i=Zi(10-34)Z以上计算结果表明n个阻抗串联组成的单口网络,就端口特性来说,等效于一个阻抗,其等效阻抗值等于各串联阻抗之和,即Z,+Z, +Z,+.+Z, = Ezk(10-35)=k=l
( ) (10 34) 1 2 3 1 2 3 1 2 3 = + + + + = − = + + ++ = + + ++ Z Z Z Z I ZI Z I Z I Z I Z I U U U U U n n n 以上计算结果表明n个阻抗串联组成的单口网络,就端 口特性来说,等效于一个阻抗,其等效阻抗值等于各串联 阻抗之和,即 (10 35) 1 = = 1 + 2 + 3 + + = − = n k Z Z Z Zn Zk I U Z
Z1Z2Z3i0o++++U2U,U+0Z.ZUUnn-一oo(b)(a)n个阻抗串联的电流相量与其端口电压相量的关系为UU(10-36)Z, + Z, +Z, +... + Z,SZkk=l第k个阻抗上的电压相量与端口电压相量的关系为Zk-UU, =z,i=(10-37)nZ, + Z, +Z, +...+ Z,Zzkk=l
n个阻抗串联的电流相量与其端口电压相量的关系为 (10 36) 1 1 2 3 = − + + + + = = n k k n Z U Z Z Z Z U I 第k个阻抗上的电压相量与端口电压相量的关系为 (10 37) 1 1 2 3 = − + + + + = = = U Z Z U Z Z Z Z Z U Z I n k k k n k k k