多导体电容系统多端口表示方法

Representation Methods for Multi-conductor Capacitance System

部分电容是“工程电磁场”课程的一个重要内容,是电气领域经常应用的重要知识。结合微分形式电荷守恒方程和等效电路模型获得了无损耗多导体电容系统部分电荷守恒方程;基于正弦稳态电路结点导纳法得到了用部分电容和支路电压表示的多端口库伏关系;以3+1多导体电容系统为例,讨论了多导体电容系统的部分电容、感应系数矩阵和电位系数矩阵对应元素关系。该教学思路在教学应用中更易被学生理解和接受。

The concept of the partial capacitance is important in the course of Engineering Electromagnetic Field.It is also always used in the field of the electrical engineering.Combined the charge conservation law in differential form with the equivalent circuit model,the conservation equations of partial charges of multi-conductor capacitance system are obtained.Based on the nodal admittance method in phasor form,the multi-port relationships between charges and branch voltages are given.Taken 3+1 multi-conductor capacitance system as an example,the relationships among partial capacitances,induction coefficients and potential coefficients are discussed.This teaching idea is much easier to be understood by students.