中文摘要：

手工求解理想电压源和理想电流源激励下的大规模实时电路全部支路电流、电压、功率的工作量极大，很难快速完成。通过扩展电路支路概念，有序化电路节点和电路支路，建立电路参数的拓扑矩阵，可以快速列出电路节点电压方程。设计出快速建立方程、快速求解方程所需的Mathematica程序，以解决大规模实时电路的快速求解问题。

英文摘要：

Manual solution to an ideal voltage source and an ideal current source excitation of a largestale resistance circuit of all the branch current, voltage, power, needs a great amount of work,which is difficult to be completed quickly. By expanding the concept of the circuit branch, ordering the circuit nodes and circuit branch , establishing of circuit parameters of the topology matrix, the node-voltage equation of the circuit can be listed. It has been designed a rapid establishment of equations needed to solve the equations quickly. Mathematica program, is a good solution to the rapid large-scale resistance of the circuit to solve the problem.