摘要
以网络的节点电压及某些多端元件支路电流为变量,对含有二端及多端元件的网络,直接利用拓扑理论对多瑞元件提出了“回转系数矩阵”、“互感系数矩阵”和“变比系数矩阵”三个概念。同时建立了改进的节点电压方程。方程中不同类型的元件分别用彼此独立的子矩阵表示,使用灵活方便。利用改进的节点电压方程分析电路,可避免用受控源等效多端元件的复杂分析方法,有利于编制计算机辅助分析程序。最后还利用新建立的节点电压方程对含有多端元件的网络进行了具体分析。
Taking node voltages and branch currents of some multiterminal components as variables and using topological theory, presents three concepts. 'turn round coefficient matrix', 'mutual inductance coefficient matrix' and 'variable ratio coefficient matrix', and builds the improved node voltage equation for the two-or-multiple terminale components. In the equation,various components are expressed by minor matrices independent each other, so it's flexible and convinent. By the equation, complex analysis based on the controlled sources equivalent to multiterminal components may be averted and the computer aided analysis can be adopted benefically. A concrete network as a example is analyzed by the equation.
关键词
N-端网络
节点电压方程
电路理论
Circuit theory
N-terminal network
Matrix analysis
Equation