论文标题

使用基于Schwarz-Schur补体的混合结构域分解算法模拟电力电子主导的网格

Simulating the Power Electronics-Dominated Grid using Schwarz-Schur Complement based Hybrid Domain Decomposition Algorithm

论文作者

Kalantari, Fatemeh, Shi, Jian, Krishnamoorthy, Harish

论文摘要

本文提出了一种新型的两阶段混合结构域分解算法,以加快动态模拟和分析功率系统的分析,由于可再生能源的渗透率很高,因此可以在计算上需要计算。在分解的第一层上,基于施瓦茨的策略用于通过边界可变放松将原始问题解散到各种子系统中,而在第二层,每个分离的子系统都将进一步分解为使用Schur-Compterment方法独立解决的子域。在两个阶段检查收敛性,以确保子系统的并行实现可以与原始问题产生相同的结果。在IEEE 9总线系统上测试了所提出的方法,其中一种同步发电机通过网格形成逆变器(GFM)替换了一个同步发电机,并采用了接收控制方法来评估其对大规模和非常大规模实施的有效性和适用性。由于传统的双环GFM在连接具有较小网格电感的更强网格时不稳定,因此采用了一种虚拟电感方法来增加等效电感,从而连接网格以增强稳定性。

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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