摘要
动态仿真数值计算结果的准确性对电力系统规划运行具有重要的意义。该文提出一种具备辛特性的谱亏损校正(spectral deferred correction,SDC)积分方法应用于电力系统动态仿真。该方法在低阶积分方法的基础上,结合Gauss型正交多项式插值构造一种高阶谱积分校正量,并采用迭代的方式对低阶计算结果进行校正,从而获得高阶收敛精度和大步长仿真能力。在采用交替求解法时,该方法具备很好的程序兼容性,易于完成现有仿真程序的改造。该文基于一个小系统验证SDC方法的高精度收敛特性和辛特性,并基于全过程动态仿真程序PSD-FDS,针对IEEE标准140节点系统对比分析SDC方法和梯形积分方法在不同步长下的仿真特性。结果表明SDC方法仿真结果更加准确可靠,不仅具有高阶收敛精度,还能够有效克服梯形积分方法在长时间计算过程中存在的累积误差和相位滞后问题。
The accuracy of numerical result of dynamic simulation is very important to power system planning and operation. This paper proposed a new numerical integration algorithm named spectral deferred correction(SDC) with symplectic property. Based on the low-order integration algorithm, the new method constructed a high-order spectral correction by Gauss quadrature integration and refines the numerical result of the low-order algorithm iteratively to obtain high-order convergence and large step capability. The method has good programming compatibility and easy implementation to reform the traditional low-order simulation program using alternating solution method. The high-order convergence and symplectic property have been verified in a small system. Based on the platform of power system full dynamic simulation program PSD-FDS, an IEEE standard 140 buses system was also performed to compare the simulation property of the trapezoidal rule and the SDC method for different simulation steps. Numerical results show that the SDC method are more accurate and reliable, and that SDC method can not only have high precision, but also can avoid the accumulating error and phase delay of trapezoidal rule during long time simulation.
作者
戴汉扬
汤涌
宋新立
刘涛
吴国旸
叶小晖
项胤兴
DAI Hanyang;TANG Yong;SONG Xinli;LIU Tao;WU Guoyang;YE Xiaohui;XIANG Yinxing(State Key Laboratory of Power Grid Safety and Energy Conservation (China Electric Power Research Institute), Haidian District,Beijing 100192,China;Electric Power Research Institute of Fujian Electric Power Company Limited, Fuzhou 350003,Fujian Province,China)
出处
《中国电机工程学报》
EI
CSCD
北大核心
2019年第2期427-435,共9页
Proceedings of the CSEE
基金
国家重点研发计划(2016YFB0900601)
电网公司科技项目(XT71-15-060)~~
关键词
电力系统
动态仿真
谱校正方法
高精度
power system
dynamic simulation
spectral deferred correction
high precision
作者简介
戴汉扬(1989),男,博士研究生,主要从事电力系统仿真与分析研究,840519184@qq.com;汤涌(1959),男,博士,教授级高级工程师,博士生导师,主要从事电力系统仿真与分析研究;宋新立(1971),男,博士,高级工程师,主要从事电力系统分析软件开发和分析技术研究;刘涛(1984),男,硕士,高级工程师,研究方向为电力系统仿真软件开发。
