基于BPL算法的AC-(LCC)DC系统全电磁暂态快速仿真方法  

Fast Full-electromagnetic Transient Simulation of AC-(LCC)DC Hybrid System Using Borel-Padé-Laplace Algorithm

作　　者：汪芳宗[1] 李默 宋新立 汤涌 WANG Fangzong;LI Mo;SONG Xinli;TANG Yong(College of Electrical Engineering&New Energy,China Three Gorges University,Yichang 443002,Hubei Province,China;China Electric Power Research Institute,Haidian District,Beijing 100192,China)

机构地区：[1]三峡大学电气与新能源学院,湖北省宜昌市443002 [2]中国电力科学研究院有限公司,北京市海淀区100192

出　　处：《中国电机工程学报》2023年第16期6233-6241,共9页Proceedings of the CSEE

基　　金：国家电网公司科技项目(XTB51201802842)。

摘　　要：对AC-(LCC)DC混联电网的全电磁暂态仿真计算,数值积分过程中将面临频繁的间断现象。现有的电磁暂态仿真计算主要是采用隐式梯形积分方法,但隐式类积分方法在面临间断问题时计算效率很低。为解决此问题,该文将Borel-Padé-Laplace(BPL)算法引入AC-(LCC)DC系统的全电磁暂态数值仿真计算,提出一类新的全电磁暂态计算方法。与传统的数值积分类方法不同,BPL算法是将Borel-Laplace变换与经典的Padé逼近相结合的一类新的渐近数值方法。采用含2条LCC-HVDC输电线路的3机9节点AC/DC系统作为算例系统,以PSCAD/EMTDC的仿真结果为基准,对提出的新方法进行测试。算例测试结果表明:基于BPL算法的全电磁暂态计算方法可以避免传统隐式类积分方法所面临的问题,在计算效率上具有明显的优势。For the full electromagnetic transient simulation of AC-(LCC)DC hybrid power grids,the involved numerical integration process would face frequent discontinuity problems.The most electromagnetic transient simulation mainly adopts the implicit trapezoidal integration method,but this type of implicit integration method is computationally inefficient when dealing with discontinuity problem.In order to solve this problem,this paper applies the Borel-Padé-Laplace(BPL)algorithm to the full-electromagnetic transient simulation of AC-(LCC)DC hybrid system,and a new kind of full-electromagnetic transient simulation method is proposed.Different from the traditional numerical integration methods,the BPL algorithm is a new class of asymptotic numerical methods that combines the Borel-Laplace transform with the classical Padéapproximation.Taking the 3-machine 9-bus AC/DC system with 2 LCC-HVDC transmission lines as an example,the proposed method is tested against the simulation results of PSCAD/EMTDC.The test results show that the proposed method can completely avoid the problems faced by the traditional implicit integration method,and it has obvious advantages in computational efficiency.

关 键 词：全电磁暂态计算 LCC直流输电 BPL算法 Gevrey级数 数值恢复 PADÉ逼近 

分 类 号：TM71[电气工程—电力系统及自动化]