Islanded Microgrid System Modeling Based on Kuramoto Coupled Oscillator Theory

LI Cheng; ZHANG Haiyu; SONG Huihui; QU Yanbin; ZHANG Xin; LI Yingying

doi:10.11930/j.issn.1004-9649.202404032

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Islanded Microgrid System Modeling Based on Kuramoto Coupled Oscillator Theory

更新时间：2025-12-20

- Islanded Microgrid System Modeling Based on Kuramoto Coupled Oscillator Theory
- Vol. 58, Issue 11, Pages: 193-204(2025)
- 作者机构：
  
  1. 国家电投集团江苏电力有限公司,江苏,南京,210008
  2. 哈尔滨工业大学（威海）新能源学院,山东,威海,264209
  3. 国家电投集团科学技术研究院,北京,102200
- 作者简介：
- 基金信息：
- DOI：10.11930/j.issn.1004-9649.202404032
  CLC：
- Published Online：01 December 2025，
  
  Published：01 December 2025
- 稿件说明：
移动端阅览
李成, 张海昱, 宋蕙慧, 曲延滨, 张新, 李盈盈. 基于Kuramoto耦合振子理论的孤岛微网系统建模[J]. 中国电力, 2025, 58(11): 193-204.

LI Cheng, ZHANG Haiyu, SONG Huihui, et al. Islanded Microgrid System Modeling Based on Kuramoto Coupled Oscillator Theory[J]. 2025, 58(11): 193-204.
李成, 张海昱, 宋蕙慧, 曲延滨, 张新, 李盈盈. 基于Kuramoto耦合振子理论的孤岛微网系统建模[J]. 中国电力, 2025, 58(11): 193-204. DOI： 10.11930/j.issn.1004-9649.202404032.

LI Cheng, ZHANG Haiyu, SONG Huihui, et al. Islanded Microgrid System Modeling Based on Kuramoto Coupled Oscillator Theory[J]. 2025, 58(11): 193-204. DOI： 10.11930/j.issn.1004-9649.202404032.

摘要

为深入揭示同步现象下多种复杂系统隐含的集体动力学规律，引入Kuramoto模型以描述具有自然频率分布的全局正弦耦合相振子系统的演化过程。本文从振子同步的角度提出了孤岛微网系统的Kuramoto建模方法，阐明了微网各单元频率同步的暂态特性。首先，深入分析微网各单元运行特性和Kuramoto振子动态特性的相似性，根据运行特性差异建立其Kuramoto模型。然后，进一步根据其惯性特性推导出按惯性分类的Kuramoto振子动态方程，并构建一、二阶混合非均匀Kuramoto模型对系统整体进行表征。最后，基于Simulink仿真平台搭建3机5节点的微网系统，验证了Kuramoto同步理论在微网建模中的适用性，揭示了Kuramoto模型频率同步与微网由暂态到稳态过程的相似性，为暂态稳定性的定量分析以及暂态能量函数的构造奠定理论基础。

Abstract

To further explore the implicit collective dynamics within the synchronization phenomenon of various complex systems

the Kuramoto model is introduced to describe the evolution of globally sinusoidal coupled phase oscillator systems with natural frequency distributions. This paper proposes a Kuramoto modeling method for island microgrid systems from the perspective of oscillator synchronization

clarifying the transient characteristics of frequency synchronization among different units in the microgrid. Firstly

a deep analysis is conducted to explore the similarities between the operational characteristics of each unit in the microgrid and the dynamic characteristics of Kuramoto oscillators

and a Kuramoto model is established based on the differences in operational characteristics. Then

the dynamic equations of Kuramoto oscillators classified by inertia are derived according to their inertial properties

and a first- and second-order mixed inhomogeneous Kuramoto model is constructed to represent the entire system. Finally

a 3-machine 5-node microgrid system is built on the Simulink simulation platform to verify the applicability of the Kuramoto synchronization theory in microgrid modeling. The similarity between the frequency synchronization of the Kuramoto model and the transient-to-steady-state process of the microgrid is revealed

laying a theoretical foundation for quantitative analysis of transient stability and the construction of transient energy functions.

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