Efficient and Robust Dynamic Simulation of Power Systems With Holomorphic Embedding
Efficient and Robust Dynamic Simulation of Power Systems With Holomorphic Embedding
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DOI：
10.1109/tpwrs.2019.2935040
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发表时间：
2020-03
影响因子：
6.6
通讯作者：
Rui Yao;Yang Liu;K. Sun;F. Qiu;Jianhui Wang
中科院分区：
文献类型：
--
作者：
Rui Yao;Yang Liu;K. Sun;F. Qiu;Jianhui Wang
动态仿真在电力系统分析中具有重要意义，但传统的基于小时间步长的数值积分方法耗时长。此外，牛顿-拉夫逊方法在求解非线性代数方程时存在收敛性困难。提出了一种基于全纯嵌入的动态仿真方法。通过获得系统动力学的高阶近似，实现了更大的时间步长，从而显著提高了计算效率。此外，该方法避免了求解代数方程的非收敛性问题，提高了鲁棒性。该方法包括同步发电机和控制器的灵活建模，并提出了一种发电机坐标变换的建模方法。该方法在IEEE 39总线，10个发电机系统和波兰2383总线，327个发电机系统上进行了测试。结果表明，该方法具有较好的计算效率和较好的数值鲁棒性，适用于大型电力系统的分析。
Dynamic simulation is vitally important in power system analysis, but traditional approaches based on numerical integration over small time steps are time-consuming. Also, the Newton-Raphson method suffers from difficulty in convergence when solving nonlinear algebraic equations. This paper proposes a novel dynamic simulation approach based on holomorphic embedding. By obtaining a high-order approximation of system dynamics, it achieves a much larger time step and thus enhances the computational efficiency significantly. In addition, the new approach avoids non-convergence issues in solving algebraic equations, which improves robustness. The approach includes flexible modeling of synchronous generators and controllers, and we propose a method for modeling generator coordinate transformations. The approach is tested on the IEEE 39-bus, 10-generator system and a Polish 2383-bus, 327-generator system. The results demonstrate promising computational efficiency and satisfactory numerical robustness for the analysis of large-scale power systems.