二端口网络的参数

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$Z$ 参数

$$Z=\left[\begin{array}{cc}{Z}_{11}& Z_{12}\\ Z_{21}& Z_{22}\end{array}\right]$$

(1) 方法一🍔🍔🍔

$$\begin{array}{c}{\dot{U}}_1=Z_{11}{\dot{I}}_1+Z_{12}{\dot{I}}_2\\ {\dot{U}}_2=Z_{21}{\dot{I}}_1+Z_{22}{\dot{I}}_2\end{array}\}$$

(2) 方法二

$$Z_{11}=\frac{\dot{U_1}}{{\dot{I}}_1}{|}_{{\dot{I}}_2=0}$$
$$Z_{21}=\frac{\dot{U_2}}{{\dot{I}}_1}{|}_{{\dot{I}}_2=0}$$
$$Z_{12}=\frac{\dot{U_1}}{{\dot{I}}_2}{|}_{{\dot{I}}_1=0}$$
$$Z_{22}=\frac{\dot{U_2}}{{\dot{I}}_2}{|}_{{\dot{I}}_1=0}$$

$Y$ 参数

$$Y=\left[\begin{array}{cc}{Y}_{11}& Y_{12}\\ Y_{21}& Y_{22}\end{array}\right]$$

(1) 方法一🍔🍔🍔

$$\begin{array}{c}{\dot{I}}_1=Y_{11}{\dot{U}}_1+Y_{12}{\dot{U}}_2\\ {\dot{I}}_2=Y_{21}{\dot{U}}_1+Y_{22}{\dot{U}}_2\end{array}\}$$

(2) 方法二

$$Y_{11}=\frac{\dot{I_1}}{{\dot{U}}_1}{|}_{{\dot{U}}_2=0}$$

$$Y_{21}=\frac{\dot{I_2}}{{\dot{U}}_1}{|}_{{\dot{U}}_2=0}$$

$$Y_{12}=\frac{\dot{I_1}}{{\dot{U}}_2}{|}_{{\dot{U}}_1=0}$$

$$Y_{22}=\frac{\dot{I_2}}{{\dot{U}}_2}{|}_{{\dot{U}}_1=0}$$

Y参数矩阵与Z参数矩阵的关系

$$Y=Z^{-1}或Z=Y^{-1}$$

$T$ 参数

$$T=\left[\begin{array}{cc}A& B\\ C& D\end{array}\right]$$

(1) 方法一🍔🍔🍔

$$\begin{array}{c}{\dot{U}}_1=A{\dot{U}}_2-B{\dot{I}}_2\\ {\dot{I}}_1=C{\dot{U}}_2-D{\dot{I}}_2\end{array}\}$$

(2) 方法二

$$A=\frac{{\dot{U}}_1}{{\dot{U}}_2}{|}_{{\dot{I}}_2=0}$$

$$B=\frac{{\dot{U}}_1}{-{\dot{I}}_2}{|}_{{\dot{U}}_2=0}$$

$$C=\frac{{\dot{I}}_1}{{\dot{U}}_2}{|}_{{\dot{I}}_2=0}$$

$$D=\frac{{\dot{I}}_1}{-{\dot{I}}_2}{|}_{{\dot{U}}_2=0}$$

$H$ 参数

$$H=\left[\begin{array}{cc}{H}_{11}& H_{12}\\ H_{21}& H_{22}\end{array}\right]$$

(1) 方法一🍔🍔🍔

$$\begin{array}{c}{\dot{U}}_1=H_{11}{\dot{I}}_1+H_{12}{\dot{U}}_2\\ {\dot{I}}_2=H_{21}{\dot{I}}_1+H_{22}{\dot{U}}_2\end{array}\}$$

(2) 方法二

$$H_{11}=\frac{{\dot{U}}_1}{{\dot{U}}_2}{|}_{{\dot{U}}_2=0}$$

$$H_{12}=\frac{{\dot{U}}_1}{{\dot{U}}_2}{|}_{{\dot{I}}_1=0}$$

$$H_{21}=\frac{{\dot{I}}_2}{{\dot{I}}_1}{|}_{{\dot{U}}_2=0}$$

$$H_{22}=\frac{{\dot{I}}_2}{{\dot{U}}_2}{|}_{{\dot{I}}_1=0}$$