Descriptor State Space Modeling and Oscillation Analysis of Passive Power Networks

YAN Xinhua; LI Chongtao; DUAN Chao; SHU Jin; {{custom_author.name_en}}

doi:10.13334/j.0258-8013.pcsee.242899

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Descriptor State Space Modeling and Oscillation Analysis of Passive Power Networks

更新时间：2026-10-12

- Descriptor State Space Modeling and Oscillation Analysis of Passive Power Networks
- Vol. 46, Issue 8, Pages: 3185-3195(2026)
- 作者机构：
  
  1. 1
  2. 西安交通大学电气工程学院,陕西省,西安市,710049
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.242899
  CLC：
- Received：17 April 2025，
  
  Published：2026
- 稿件说明：
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YAN Xinhua, LI Chongtao, DUAN Chao, et al. Descriptor State Space Modeling and Oscillation Analysis of Passive Power Networks[J]. 2026, 46(8): 3185-3195.
DOI：

YAN Xinhua, LI Chongtao, DUAN Chao, et al. Descriptor State Space Modeling and Oscillation Analysis of Passive Power Networks[J]. 2026, 46(8): 3185-3195. DOI： 10.13334/j.0258-8013.pcsee.242899.

摘要

随着电力系统中的可再生能源和电力电子设备比例的日益提升，电力网络产生了谐振稳定性问题。该文围绕无源电力网络的动态特性展开，将谐振稳定性问题归结为无源电力网络自然振荡模式和理想强迫源振荡频率之间的激励问题。首先，基于广义建模框架，建立兼有集中参数设备和分布参数输电线路的电力网络模型；其次，通过无源电力网络的受迫振荡模型，利用特征分析方法，解析导出系统稳态响应和自然模态、强迫源之间的关系。这些关系可被用于定位网络中薄弱位置、观测谐波分布情况；最后，通过算例展示所提方法在分析电力网络谐振现象中的有效性。

Abstract

With the increasing proportion of renewable energy and power electronic devices in power systems

resonance stability issues have emerged in power networks. This paper focuses on the dynamic characteristics of passive power networks and addresses the resonance stability problem as an excitation issue between the natural oscillation modes of the passive power network and the oscillation frequency of the ideal forcing source. First

based on a descriptor modeling framework

a power network model incorporating both lumped parameter devices and distributed parameter transmission lines is established. Next

through the forced oscillation model of the passive power network

the system steady-state response

natural modes

and the relationship with the forcing source are analytically derived using eigen-analysis. These relationships can be used to locate weak spots in the network and observe harmonic distribution. Finally

case studies are presented to demonstrate the effectiveness of the proposed method in analyzing resonance phenomena in power networks.

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