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

1.Hubei Provincial Collaborative Innovation Center for New Energy Microgrid (China Three Gorges University);Yichang 443002,China;2.College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China

Fund Project:

This work is supported by National Natural Science Foundation of China (No. 51707103).

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    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.

    表 1 多区干扰下场景参数Table 1 Scenario parameters with multi-region interference
    图1 单区域干扰下惯量配置对双系统稳定性的影响Fig.1 Effect of inertia configuration on stability of dual system with single-region interference
    图3 多种阻尼配置方案综合评价指标Fig.3 Comprehensive evaluation indicators of various damping configuration schemes
    图4 Voronoi图重心内插法多次迭代Fig.4 Multiple iterations of Voronoi diagram and center of gravity interpolation
    图5 相角振荡曲线Fig.5 Curves of phase angle oscillation
    图6 多组测试下迭代次数与暂定最优解的关系Fig.6 Relationship between of iteration times and tentative optimal solutions of multiple tests
    图7 多组干扰下的惯量最优配置Fig.7 Optimal inertia configuration with multiple sets of interference
    图1 单区域干扰下惯量配置对双系统稳定性的影响Fig.1 Effect of inertia configuration on stability of dual system with single-region interference
    图3 多种阻尼配置方案综合评价指标Fig.3 Comprehensive evaluation indicators of various damping configuration schemes
    图4 Voronoi图重心内插法多次迭代Fig.4 Multiple iterations of Voronoi diagram and center of gravity interpolation
    图5 相角振荡曲线Fig.5 Curves of phase angle oscillation
    图6 多组测试下迭代次数与暂定最优解的关系Fig.6 Relationship between of iteration times and tentative optimal solutions of multiple tests
    图7 多组干扰下的惯量最优配置Fig.7 Optimal inertia configuration with multiple sets of interference
    Fig. Dual zone system
    图 算法迭代流程图Fig. algorithm iterative flow chart
    图 算法暂定最优解Fig. algorithm tentative optimal solution
    表 2 阻尼配置方案及评价结果Table 2 Damping configuration schemes and evaluation results
    图 重心内插法示意图Fig. Schematic diagram of the center of gravity interpolation
    图 结果对比Fig. Comparison of results
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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(3):66-73.DOI:10.7500/AEPS20190401006

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History
  • Received:April 01,2019
  • Revised:July 26,2019
  • Adopted:
  • Online: February 14,2020
  • Published: