一种节点电压迭代的电路分析新算法

A New Algorithm for Electric Circuit Analysis-Nodal Voltage Iterating Method

文章提出了一种节点电压迭代逼近求解的计算方法。该方法通过对一个节点施加基尔霍夫节点电流定则来确定该节点的电压 ,并将这种方法逐一应用于所有节点 ,反复迭代来逼近收敛解。该算法适用于直流、交流或多种频率分量混存的电路 ,在程序实现上无需分别编写代码 ;原理算法上仅需开设二阶矩阵 ;对于系统的拓扑结构经常变换的电路计算 ,算法的计算量基本保持不变 ;对于存在局部拓扑弱连接的电路 。

In this paper, the author propose a nwe algorithm of nodal voltage iteration and approximation solution, which uses Kirchholf's node-current law to determine the voltage of this node, apply the method to all nodes separately, and repeat to iterate until approximating to a convergent solution. This method applies to dc, ac or mixed circuits with multi-frequency components, and not necessary to be coded separately when establishing a computer program. Theoretical calculation only needs second order matrix. The calculation work amounts are basically constant for the circuit system with frequently changing topological structure. For circuits with weakly connected local topological structure, further developing of a multi-computer parallel calculation method is needed.