求解场-路混合问题的时域积分方程法

研究了基于时域积分方程求解场-路混合问题的方法,其基础是“耦合电流”的思想,区域中的电路部分和电磁结构部分通过其连接处的耦合电流联系在一起,由此完善了传统的电流连续性方程.然后将TDIE方法与电路仿真方法——改进的节点分析法相结合,并通过广义基尔霍夫电压定律将电路中节点的电位与电磁结构上接口处的电位联系在一起.采用这种方法求解场-路混合问题,不需要生成端口模型,而直接求解场-路耦合方程.最后通过传输线算例证明了方法的正确性.

Method of Time-Domain Integral Equation for Solution of Field-Circuit Hybrid Problems

Solution methods based on time-domain integral equation（TDIE） for field-circuit hybrid problems are studied,the principal idea of which is ＂coupling current＂.Circuit part and electromagnetic structure in the area are combined by the coupling current at the junction.Traditional current continuity equation is consummated by that result.Then TDIE and the simulation method for circuit-modified nodal analysis（MNA） is combined,and general Kirchoffs voltage law（KVL） is used to contact electric potential both at node of the circuit and at port of the electromagnetic structure.When this method is applied to solve hybrid problems of field and circuit,port model is no longer needed,and the coupling equations are solved directly.Finally,an example of transmission line is presented to testify validity of the method.