电力系统保护与控制2017，Vol.45Issue(6)：68-73,6.DOI:10.7667/PSPC160440
基于2级3阶单对角隐式Runge-Kutta法的电磁暂态计算方法
2-stage 3-order diagonally implicit Runge-Kutta method for electromagnetic transient calculation
摘要
Abstract
In power system electromagnetic transient calculation,because of various kinds of sudden changes,there will be numerical oscillation in numerical calculation.In order to avoid the numerical oscillation in power system electromagnetic transient calculation effectively,the 2-stage 3-order diagonally implicit Runge-Kutta method is proposed for electromagnetic transient calculation.Through theoretic analysis,the proposed numerical integration method is of nonlinear B-stability,which also means that the method is of energy dissipation characteristic or nonlinear damping characteristic.From example results,this paper confirms that the proposed method can be free of numerical oscillation effectively though sudden change happens.Besides,compared with the present methods,using the proposed method to implement electromagnetic transient calculation will not add any extra computation load.关键词
电磁暂态计算/数值积分方法/Runge-Kutta法/数值振荡Key words
electromagnetic transient calculation/numerical integration method/Runge-Kutta method/numerical oscillation引用本文复制引用
杨萌,汪芳宗..基于2级3阶单对角隐式Runge-Kutta法的电磁暂态计算方法[J].电力系统保护与控制,2017,45(6):68-73,6.基金项目
国家自然科学基金项目(51377098)This work is supported by National Natural Science Foundation of China (No.51377098). （51377098）
