基于电路传递矩阵法的电力系统电磁暂态仿真  

Electromagnetic Transient Simulation of Power Systems Based on Circuit Transfer Matrix Method

作　　者：周艺峤 靳展 杨富锋[1] ZHOU Yiqiao;JIN Zhan;YANG Fufeng(National Key Laboratory of Complex Multibody System Dynamics,Nanjing University of Science and Technology Nanjing 210094,China)

机构地区：[1]南京理工大学复杂多体系统动力学全国重点实验室,江苏南京210094

出　　处：《智慧电力》2025年第4期112-118,共7页Smart Power

基　　金：国家自然科学基金资助项目(92266301和92166101)。

摘　　要：针对节点电压法建立的网络方程在电力系统电磁暂态仿真中系数矩阵阶数高、仿真速度慢的问题,提出了基于电路传递矩阵法的电力系统电磁暂态仿真方法。首先,提出了基于电路传递矩阵法的电力系统仿真基本思路,阐述了链式电路传递矩阵法的求解策略。其次,结合缩减变换推导了链式电路缩减传递矩阵法,以解决链式电路传递矩阵法计算过程中,由于元件等值电阻过大导致矩阵连乘后累积误差大的问题。最后,以某输电线路电磁暂态仿真为例,使用电路传递矩阵法与节点电压法进行对比,结果表明电路传递矩阵法在确保仿真计算精度的条件下大幅提高了计算速度。To address the issues of high-order coefficient matrices and slow simulation speed in electromagnetic transient(EMT)simulations of power systems using the node voltage method-based network equations,this paper proposes an electromagnetic transient simulation method for power systems based on the circuit transfer matrix method.Firstly,the fundamental framework of power system simulation using the circuit transfer matrix method is presented,and the solution strategy for the chain circuit transfer matrix method is elaborated.Secondly,a reduced chain circuit transfer matrix method is derived by integrating reduction transformations to mitigate the problem of accumulated errors caused by excessive equivalent resistances of components during matrix multiplication in the original chain circuit transfer matrix method.Finally,an EMT simulation case of a transmission line is conducted to compare the circuit transfer matrix method with the node voltage method.Results demonstrate that the proposed circuit transfer matrix method significantly improves computational speed while ensuring simulation accuracy.

关 键 词：电磁暂态仿真 多体系统传递矩阵法 电路传递矩阵法 电力系统元件传递矩阵 

分 类 号：TM133[电气工程—电工理论与新技术]