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.

中文翻译：

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具有全纯嵌入的电力系统高效且稳健的动态仿真

动态仿真在电力系统分析中至关重要，但基于小时间步长数值积分的传统方法非常耗时。此外，Newton-Raphson 方法在求解非线性代数方程时存在收敛困难。本文提出了一种基于全纯嵌入的新型动态仿真方法。通过获得系统动力学的高阶近似，它实现了更大的时间步长，从而显着提高了计算效率。此外，新方法避免了求解代数方程时的不收敛问题，从而提高了鲁棒性。该方法包括同步发电机和控制器的灵活建模，我们提出了一种对发电机坐标变换进行建模的方法。该方法在 IEEE 39 总线上进行了测试，10 发电机系统和波兰 2383 总线、327 发电机系统。结果表明，对于大规模电力系统的分析，其具有良好的计算效率和令人满意的数值鲁棒性。