含有受控源的改进结点电压方程  

An improved node voltage equation with controlled sources

作　　者：霍龙[1] 荆澜涛[1] 于佳[1] 齐德江[1] 

机构地区：[1]沈阳工程学院电力学院,沈阳110136

出　　处：《沈阳师范大学学报（自然科学版）》2016年第4期459-463,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省教育厅科学研究一般项目(L2014518)

摘　　要：结点电压法是适合计算机辅助分析的一种电路分析方法。由于该方法仅通过结点支路关联矩阵即可确定电路的拓扑结构,不需要确定树和回路矩阵,使通用程序的编写相对容易。但是结点电压法对电路中含有受控源和无伴电压源时需要另行处理,针对这种特殊情况提出了含受控源电路的改进结点电压方程的矩阵形式。分别给出了正弦稳态下含受控源以及含无伴独立电源电路的结点电压方程推导过程,进而得到统一的以结点电压和无伴电压源中电流为电路变量的混合变量矩阵方程。最后从编程的角度给出了电路信息的规范输入方法。通过算例验证了所得方程适用于含有耦合电感、受控电源、无伴独立电源电路的稳态分析,具有通用性。Node voltage method is a circuit analysis method which is suitable for computer-aided analysis.The method can determine the topological structure of the circuit only using the incidence matrix of the node branch without determination of the tree and the loop matrix.So the general program is easy to be compiled.However,if the node voltage method is used to solve the circuit with controlled source and the unaccompanied voltage source,a further processing needs to be done.The paper proposes the node voltage equation derivation with controlled sources and unaccompanied independent supply under the sine steady state.Mixed variable matrix equations can be given uniformly with the node voltage and the current of the unaccompanied independent supply as their circuit variables.Finally,the standard input method of the circuit information is given from the perspective of programming.A numerical example demonstrates that the equations can be applied for steady-state analysis on the circuit with coupled inductors,controlled sources,unaccompanied and independent sources.Therefore,the method is universal.

关 键 词：结点电压方程 关联矩阵 受控电源 无伴电压源 无伴电流源 电路拓扑信息 

分 类 号：TM133[电气工程—电工理论与新技术]