自适应步长增维精细积分法的电磁暂态仿真  

Electromagnetic Transient Simulation by Adaptive Time-step Precise Integration with Dimension Expanding Method

作　　者：叶婧[1] 谢继豪 王永 吕金伟 张磊[1] YE Jing;XIE Jihao;WANG Yong;LU Jinwei;ZHANG Lei(School of Electrical Engineering and New Energy,China Three Gorges University,Yichang 443002,China;UHV Converter Station Branch,State Grid Shanghai Municipal Electric Power Company,Shanghai 201314,China)

机构地区：[1]三峡大学电气与新能源学院,宜昌443002 [2]国网上海市电力公司特高压换流站分公司,上海201314

出　　处：《电力系统及其自动化学报》2025年第3期149-158,共10页Proceedings of the CSU-EPSA

基　　金：国家自然科学基金资助项目(52007103);国网上海市电力公司科技项目(计及换相失败的站用电系统暂态电压量化评估方法及低压控制回路隐患治理)(52090V230002);宜昌市自然科学研究资助项目“宜昌地区混合式抽水蓄能电站资源利用与分布式调度策略研究”(A22-3-001)。

摘　　要：针对电磁暂态仿真类程序中易有数值振荡的产生及采用定步长仿真难以兼顾精度和效率的问题,提出一种自适应步长增维精细积分仿真算法。首先,为避免矩阵求逆引入扩展向量进行增维,并对增维矩阵进行分块计算以降低计算规模;其次,根据估计误差确立自适应步长变化的依据,并通过预设步长进一步提高计算效率;最后,建立电磁暂态数值计算流程,对电力系统中线性与非线性元件进行建模,并通过典型的算例验证了所提算法的有效性与优势。Aimed at the problem that the electromagnetic transient program(EMTP)is prone to numerical oscillations and it is difficult to take into account both the accuracy and efficiency when using the fixed time-step simulation,an adaptive time-step precise integration with the dimension expanding simulation method is proposed.First,to avoid the matrix inversion,extension vectors are introduced to increase the number of dimensions,and the matrices with expand-ed dimensions are chunked to reduce the computational scale.Second,the basis of adaptive time-step variation is established based on the estimation error,and the computational efficiency is further improved by presetting the time-step.Finally,an electromagnetic transient numerical calculation process is established to model the linear and nonlinear components in the power system.The effectiveness and advantages of the proposed algorithm are verified by typical examples.

关 键 词：电磁暂态仿真 数值振荡 增维精细积分法 自适应步长 

分 类 号：TM74[电气工程—电力系统及自动化]