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基于Voronoi图重心内插法的虚拟惯量配置
作者:
作者单位:

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:

刘昊邦(1995—),男,硕士研究生,主要研究方向:电力系统规划、智能算法在电力系统中的应用。E-mail:liuhaobang1995@163.com
马辉(1985—),男,通信作者,博士,讲师,主要研究方向:电力系统控制。E-mail:3528843684@qq.com
熊致知(1999—),女,本科生,主要研究方向:智能算法在电力系统中的应用。E-mail:515690239@qq.com

通讯作者:

基金项目:

国家自然科学基金青年基金资助项目(51707103)。


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

    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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引用本文

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(3):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(3):66-73. DOI:10.7500/AEPS20190401006.

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  • 收稿日期:2019-04-01
  • 最后修改日期:2019-07-26
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  • 在线发布日期: 2020-02-14
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