基于Schwarz-Schur补的混合区域分解算法在电力电子主导电网仿真中的应用
Simulating the Power Electronics-Dominated Grid using Schwarz-Schur Complement based Hybrid Domain Decomposition Algorithm
摘要：
本文提出了一种新的两阶段混合区域分解算法，以加快动态仿真和电力系统的分析，可以计算要求，由于可再生能源的高渗透率。在分解的第一级，基于Schwarz的策略是用来解耦的原始问题到各个子系统，通过边界变量松弛，而在第二级，每个解耦的子系统进一步分解成子域，使用舒尔互补方法独立解决。收敛性检查在这两个阶段，以确保子系统的并行实现可以产生相同的结果，原来的问题。所提出的方法进行了测试IEEE 9总线系统中，一个同步发电机被替换为一个太阳能光伏发电场通过并网逆变器（GFM）与导纳控制方法，以评估其有效性和适用性的大规模和超大规模的实现。由于传统的双环GFM在连接到具有小电网电感的较强电网时不稳定，因此采用虚拟电感方法来增加连接电网的等效电感以增强稳定性。
英文摘要：
This paper proposes a novel two-stage hybrid domain decomposition algorithm to speed up the dynamic simulations and the analysis of power systems that can be computationally demanding due to the high penetration of renewables. On the first level of the decomposition, a Schwarz-based strategy is used to decouple the original problem into various subsystems through boundary variable relaxation, while on the second level, each decoupled subsystem is further decomposed into subdomains that are solved independently using the Schur-complement approach. Convergence is checked in both stages to ensure that the parallelized implementation of the subsystems can produce identical results to the original problem. The proposed approach is tested on an IEEE 9 bus system in which one synchronous generator is replaced with a solar PV farm through a grid-forming inverter (GFM) with an admittance control method to evaluate its effectiveness and applicability for large-scale and very-large-scale implementations. Since conventional dual-loop GFMs are not stable when connecting to a stronger grid with a small grid inductance, a virtual inductance method is adopted to increase the equivalent inductance connecting the grid to enhance stability.
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