Virtual Inertia Configuration Based on Voronoi Diagram and Center of Gravity Interpolation

Haobang LIU; Hui MA; Zhizhi XIONG

doi:10.7500/AEPS20190401006

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Virtual Inertia Configuration Based on Voronoi Diagram and Center of Gravity Interpolation

Basic Research | 更新时间：2025-06-16

- Virtual Inertia Configuration Based on Voronoi Diagram and Center of Gravity Interpolation
- Automation of Electric Power Systems Vol. 44, Issue 3, Pages: 66-73(2020)
- 作者机构：
  
  1. 新能源微电网湖北省协同创新中心（三峡大学），湖北省宜昌市 443002
  2. 三峡大学电气与新能源学院，湖北省宜昌市 443002
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China
- DOI：10.7500/AEPS20190401006
  CLC：
- Received：01 April 2019，
  
  Revised：2019-07-26，
  
  Published Online：13 November 2019，
  
  Published：25 March 2020
- 稿件说明：
移动端阅览
刘昊邦,马辉,熊致知.基于Voronoi图重心内插法的虚拟惯量配置[J].电力系统自动化,2020,44(03):66-73.

LIU Haobang,MA Hui,XIONG Zhizhi.Virtual Inertia Configuration Based on Voronoi Diagram and Center of Gravity Interpolation[J].Automation of Electric Power Systems,2020,44(03):66-73.
刘昊邦,马辉,熊致知.基于Voronoi图重心内插法的虚拟惯量配置[J].电力系统自动化,2020,44(03):66-73. DOI： 10.7500/AEPS20190401006.

LIU Haobang,MA Hui,XIONG Zhizhi.Virtual Inertia Configuration Based on Voronoi Diagram and Center of Gravity Interpolation[J].Automation of Electric Power Systems,2020,44(03):66-73. DOI： 10.7500/AEPS20190401006.

摘要

随着新能源在电力系统中的渗透率逐渐增加，系统对频率的支撑能力越来越差，为系统配置虚拟惯量是解决支撑问题有效的途径，有效分配虚拟惯量是一大难点。针对该问题，提出基于Voronoi图插值法对虚拟惯量进行优化分配。建立电力系统中虚拟惯量的数学模型，通过李雅普诺夫直接法判定系统稳定性并以其判定矩阵的二范数作为综合评价性能指标，分析多个影响因子相互作用对系统频率稳定性的影响。利用Voronoi图重心内插法寻找配置惯量最优解，通过仿真对优化结果进行验证，仿真结果表明相较其他传统方法，应用该方法对虚拟惯量进行配置，结果较精确，计算速度较快，能够更有效地利用虚拟惯量，提高系统频率稳定性。

Abstract

With the increasing penetration rate of renewable energy in power system， the system ability of supporting frequency is getting worse and worse. Configuring virtual inertia for power system is an effective way to solve this problem. To effectively allocate the virtual inertia， the Voronoi diagram interpolation method is proposed to optimize the virtual inertia distribution. The mathematical model of virtual inertia in power system is established. The stability of the system is judged by Lyapunov direct method and the 2-norm of the decision matrix is used as comprehensive evaluation performance indicators. The stability of the system frequency is analyzed when multiple influence factors interact. The Voronoi diagram and center of gravity interpolation method is used to find the optimal solution of the inertia. The optimization results are verified by simulation. Compared with other traditional methods， simulation results show that the virtual inertia is configured based on the method. The result is more accurate and the calculation speed is faster， and it could use virtual inertia more effectively to improve system frequency stability.

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