线性动态网络混合分析法

提出了线性动态网络(时不变、时变)混合分析法,将线性时不变电容和电感的电流、电压,线性时变电容的电流、电压和电荷,线性时变电感的电流、电压和磁通都作为独立变量与节点电压一起参与分析,可以方便地形成由一组线性代数方程与一组微分方程构成的混合方程。虽然方程的规模有所扩大,但方程的建立较为容易。这一混合方程在时域离散后成为一组线性差分方程,易于用计算机进行数值求解。

Mixed Analysis for Linear Dynamic Networks

A mixed analysis for linear dynamic networks is proposed in this paper.The proposed method takes the currents and voltages of the linear time-invariant capacitors and inductors,the currents,voltages and charges of the linear time-varying capacitors,and the currents,voltages and flux of the linear time-varying inductors as independent variables to work together with the node voltages in the circuit analysis.It is easy to form a mixed equation set that includes algebraic equations as well as differential equations.Although the size of the equation set is increased,this method makes it easy to establish the equation set.Furthermore,it is convenient to obtain the numerical solution after it is discretized and converted to a linear difference equation set.