| 引用本文: | 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.[点击复制] |
| YANG Meng,WANG Fangzong.2-stage 3-order diagonally implicit Runge-Kutta method for electromagnetic transient calculation[J].Power System Protection and Control,2017,45(6):68-73[点击复制] |
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| 摘要: |
| 在电力系统电磁暂态计算中，由于各种突变情况的发生，将导致数值计算中存在数值振荡。为有效解决电力系统电磁暂态计算中的数值振荡问题，将一种2级3阶单对角隐式Runge-Kutta法运用于电磁暂态数值计算中。由理论分析可知，该数值积分方法具有非线性B-稳定性，即具有能量耗散性或非线性阻尼特性。算例结果表明，与现有的方法相比较，使用该方法进行电磁暂态计算，能够在不增加计算量的情况下，有效避免因突变情况导致的数值振荡。 |
| 关键词: 电磁暂态计算 数值积分方法 Runge-Kutta法 数值振荡 |
| DOI：10.7667/PSPC160440 |
| 投稿时间：2016-03-29修订日期：2016-05-26 |
| 基金项目:国家自然科学基金项目(51377098) |
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| 2-stage 3-order diagonally implicit Runge-Kutta method for electromagnetic transient calculation |
| YANG Meng,WANG Fangzong |
| (College of Electrical Engineering & New Energy, China Three Gorges University, Yichang 443002, China) |
| 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. This work is supported by National Natural Science Foundation of China (No. 51377098). |
| Key words: electromagnetic transient calculation numerical integration method Runge-Kutta method numerical oscillation |
