二端口网络参数#
阻抗参数(Z参数)#
$$
\left\{\begin{array}{l}
U_1 = Z_{11}I_1 + Z_{12}I_2\\
U_2 = Z_{21}I_1 + Z_{22}I_2
\end{array}\right.
$$导纳参数(Y参数)#
$$
\begin{cases}
I_1 = Y_{11}U_1 + Y_{12}U_2 \\
I_2 = Y_{21}U_1 + Y_{22}U_2
\end{cases}
$$混合参数(H参数)#
$$
\begin{cases}
U_1 = h_{11}I_1 + h_{12}U_2 \\
I_2 = h_{21}I_1 + h_{22}U_2
\end{cases}
$$传输参数(ABCD参数/T参数)#
$$
\begin{cases}
U_1 = AU_2 - BI_2 \\
I_1 = CU_2 - DI_2
\end{cases}
$$参数转换关系#
Z参数与Y参数互转#
$$
[Z] = [Y]^{-1} \quad \Leftrightarrow \quad [Y] = [Z]^{-1}
$$
$$
注:H型、T型由Z或Y变换即可
$$测量公式#
开路阻抗#
$$
Z_{11} = \left.\frac{V_1}{I_1}\right|_{I_2=0} \qquad
Z_{22} = \left.\frac{V_2}{I_2}\right|_{I_1=0}\\
\ \\
Z_{21} = \left.\frac{U_2}{I_1}\right|_{I_2=0} \qquad
Z_{12} = \left.\frac{U_1}{I_2}\right|_{I_1=0}
$$短路导纳#
$$
Y_{11} = \left.\frac{I_1}{U_1}\right|_{U_2=0} \qquad
Y_{22} = \left.\frac{I_2}{U_2}\right|_{U_1=0}\\
\ \\
Y_{21} = \left.\frac{I_1}{U_2}\right|_{U_1=0} \qquad
Y_{12} = \left.\frac{I_2}{U_1}\right|_{U_2=0}
$$
$$
注:下标与测量统一逻辑
$$