基于同伦-帕德算法的配电网系统电磁暂态快速仿真计算方法  

Fast Simulation Calculation Method of Electromagnetic Transient of Distribution Network System Based on Homotopy-PadéAlgorithm

作　　者：甘利红 刘胤辰 李默 焉敏 陈波 赵军 李娜 GAN Lihong;LIU Yinchen;LI Mo;YAN Min;CHEN Bo;ZHAO Jun;LI Na(State Grid Hubei Electric Power Co.,Ltd.,Xianning Power Supply Company,Xianning,Hubei 437000,China;Hubei Three Gorges Polytechnic,Yichang,Hubei 443000,China;State Grid Hubei Electric Power Co.,Ltd.,Jiayu Power Supply Company,Xianning,Hubei 437200,China;College of Electrical Engineering&New Energy,China Three Gorges University,Yichang,Hubei 443002,China)

机构地区：[1]国网湖北省电力有限公司咸宁供电公司,湖北咸宁437000 [2]湖北三峡职业技术学院,湖北宜昌443000 [3]国网湖北省电力有限公司嘉鱼县供电公司,湖北咸宁437200 [4]三峡大学电气与新能源学院,湖北宜昌443002

出　　处：《广东电力》2024年第11期55-63,共9页Guangdong Electric Power

基　　金：湖北省自然科学基金项目(2024AFB472);国网咸宁供电公司技术项目(152343);湖北三峡职业技术学院博士专项科研项目(2024ZX06)。

摘　　要：随着配电网规模及复杂度的不断扩增,基于常规准稳态假设的配电网机电暂态仿真已无法满足目前需求,需进行更为精确的电磁暂态仿真计算。为提升大规模配电网系统电磁暂态仿真计算效率,提出基于同伦-帕德算法的电磁暂态计算方法。首先,建立配电网系统电磁暂态模型,包括考虑接线方式的变压器电磁暂态模型、配电线路电磁暂态模型、异步电动机电磁暂态模型、直流模型等;然后,提出基于同伦-帕德逼近的数值算法,该算法具备精度高、稳定性强、显式积分无需迭代等优点,相比常规算法,更适合大规模电磁暂态仿真计算;最终,构建基于同伦-帕德算法的配电网系统电磁暂态仿真计算框架。采用实际配电网算例,对比所提算法与常规算法所得结果,验证了所提算法具有上述的优点,因而易于处理间断问题,计算效率提升,更适合大规模电力电子化电磁暂态仿真计算。With the expansion of the scale and complexity of the distribution network,the electromechanical transient simulation of the distribution network based on the traditional quasi-steady state assumption can no longer meet the current demand,and more accurate electromagnetic transient simulation calculation is needed.In order to improve the efficiency of electromagnetic transient simulation for large-scale distribution system,a new method based on the Homotopy-Padéalgorithm is proposed in this paper.Firstly,the electromagnetic transient model of distribution system is established,including transformer electromagnetic transient model,distribution line electromagnetic transient model and induction motor electromagnetic transient model considering connection mode.Then,a numerical algorithm based on Homotopy-Padéapproximation is proposed,which has the advantages of high precision,strong stability and explicit format,and is more suitable for large-scale electromagnetic transient simulation than the traditional implicit ladder method.Finally,a framework for electromagnetic transient simulation of distribution network system based on Homotopy-Padéalgorithm is constructed.An actual distribution network example is used for comparing the results of the proposed algorithm with the conventional algorithm.It is verified the proposed algorithm has the advantages of high precision,good stability and explicit integral class method,so it is easy to deal with discontinuity problem,the calculation efficiency is improved,and is more suitable for large-scale electric power electronic electromagnetic transient simulation calculation.

关 键 词：同伦分析法 帕德逼近 电磁暂态 配电网系统 数值算法 

分 类 号：TM712.12[电气工程—电力系统及自动化]