Transient Stability Analysis of Multiple VSGs System Based on Order Parameter

ZHAN Xianwen; GAN Deqiang

doi:10.13334/j.0258-8013.pcsee.250515

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Transient Stability Analysis of Multiple VSGs System Based on Order Parameter

更新时间：2026-10-05

- Transient Stability Analysis of Multiple VSGs System Based on Order Parameter
- Vol. 46, Issue 12, Pages: 4823-4838(2026)
- 作者机构：
  
  浙江大学电气工程学院,浙江省,杭州市,310027
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.250515
  CLC：
- Published：2026
- 稿件说明：
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ZHAN Xianwen, GAN Deqiang. Transient Stability Analysis of Multiple VSGs System Based on Order Parameter[J]. 2026, 46(12): 4823-4838.
DOI：

ZHAN Xianwen, GAN Deqiang. Transient Stability Analysis of Multiple VSGs System Based on Order Parameter[J]. 2026, 46(12): 4823-4838. DOI： 10.13334/j.0258-8013.pcsee.250515.

摘要

电力系统暂态稳定通常存在不同发电机之间相互耦合的复杂动态关系，系统模型的解析和计算十分复杂。为此，该文提出一种新颖的基于耦合振子序参数的大规模电力系统暂态稳定分析方法。首先，通过耦合振子序参数推导了摇摆方程的近似解耦模型，并利用Lyapunov函数对系统的稳定裕度进行量化分析；其次，基于该解耦模型，系统地分析同步发电机在不同工作条件下的3种典型运行状态，并探讨发电机出力、惯性时间常数及暂态电抗等参数对电网稳定性的影响机制，进一步验证同步机动态特性的内在规律；随后，推导考虑电流限幅影响的多虚拟同步机(virtual synchronous generator，VSG)的暂态等效模型，并将序参数法扩展至多机-多VSG系统，形成一种新的基于序参数的暂态稳定分析框架；最后，采用IEEE1888节点和IEEE2383节点系统的算例验证推导的基于序参数法的多机-多VSG系统暂态稳定分析方法的有效性。

Abstract

The transient stability of power systems typically involves complex dynamic couplings among different generators

leading to significant challenges in quantitative stability evaluation. To address this

this paper proposes a novel order parameter- based transient stability analysis framework for large-scale power systems in this paper. First

this paper derives an approximate decoupling model of the swing equation using order parameters

and employs a Lyapunov function to quantify the stability margin of the system

providing new mathematical tools for transient stability assessment. Then

the operational states of synchronous generators under varying working conditions are systematically analyzed based on this model

revealing the impact of generator output

inertia time constant

and transient reactance on transient stability. Subsequently

a model of multiple virtual synchronous generators (VSGs) considering current-limiting effects is derived

extending the order parameter approach to multi-machine multi-VSG systems. Case studies on IEEE 1888-bus and 2383-bus systems demonstrate the effectiveness of the proposed method.

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