求解电容电路的辛传递矩阵法

The Method of the Transferring Matrix to Solve Capacitor Circuits

本文从一个简单电容电路出发,引入所带电量及端点电势构成的状态向量,将电容电路的计算导入了辛体系,以辛矩阵的形式给出了电容多级串联电路以及多支路复杂电容电路的辛传递矩阵解法。辛传递矩阵解法只涉及简单的矩阵计算,为电容电路提供了一个方便的计算方法。将辛数学的方法应用到了电路计算中,将有利于不同学科之间的相互交叉与渗透。

In this paper, calculation of capacitor circuits is introduced to symplectic system and symplectic matrix form from a simple capacitor circuit. The electric charge and potential compose the state vector. The method of the transferring matrix to solve multilevel capacitor circuits in series and complicated capacitor circuits is given. It only relates to simple calculations of matrix. The symplectic system supplies a new calculation method to capacitor circuits and benefits cross and exchange among various disciplines.