考虑吸引域边界危机的电压稳定域划分方法
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1.四川大学电气工程学院,四川 成都 610065;2.国网河北省电力有限公司石家庄供电分公司,河北 石家庄 050000

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国家自然科学基金项目资助(52107117)


Voltage stability region partitioning method considering boundary crises of the region of attraction
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1. College of Electrical Engineering, Sichuan University, Chengdu 610065, China; 2. Shijiazhuang Power Supply Branch, State Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050000, China

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    摘要:

    静态电压稳定性是一种理想化的稳定性概念,其扰动无限小的假设不利于强非线性的电力系统在静态电压稳定域(steady-state voltage stability region, SVSR)内的安全运行。针对功率大扰动场景下由SVSR内的边界危机所引发的吸引域骤缩问题,提出了一种考虑边界危机的电压稳定域(voltage stability region considering boundary crises, BCVSR)的划分方法。首先通过流形分析研究了边界危机的发生机理及其对电压稳定性的影响。其次通过相轨迹分析验证了理论研究的结果。然后通过分岔分析研究了参数变化对直驱风电并网系统的平衡集及动态特性的影响。最后划分了系统在注入功率空间中的单参数与双参数BCVSR,并将其与SVSR进行了对比。研究结果表明,在考虑功率大扰动的情形下,BCVSR的划分排除了SVSR内的边界危机对系统电压稳定性的威胁,有助于指导电力系统在实际运行中的功率调整。

    Abstract:

    Static voltage stability is an idealized concept that assumes infinitesimally small disturbances, which is not suitable for the secure operation of highly nonlinear power systems within the steady-state voltage stability region (SVSR). To address the problem of abrupt shrinkage of the attractive region caused by the boundary crises within the SVSR under large power disturbances, this paper proposes a voltage stability region partitioning method that considers boundary crises, referred to as voltage stability region considering boundary crises (BCVSR). First, the mechanism of boundary crises and their impact on voltage stability are studied through manifold analysis. Next, the theoretical findings are verified through phase trajectory analysis. Bifurcation analysis is subsequently employed to study the influence of parameter variations on the equilibrium sets and dynamic characteristics of direct-drive wind power integration system. Finally, the system’s single- and double-parameter BCVSRs in the space of power injections are partitioned and compared with the SVSR. The results show that under large power disturbances, the proposed BCVSR method effectively excludes regions within the SVSR that are vulnerable to boundary crises, thereby enhancing voltage stability of the system. This provides valuable guidance for power adjustment in practical power system operations.

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马晓阳,梁锦文,汪 颖,等.考虑吸引域边界危机的电压稳定域划分方法[J].电力系统保护与控制,2025,53(12):45-56.[MA Xiaoyang, LIANG Jinwen, WANG Ying, et al. Voltage stability region partitioning method considering boundary crises of the region of attraction[J]. Power System Protection and Control,2025,V53(12):45-56]

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  • 收稿日期:2024-08-21
  • 最后修改日期:2024-12-26
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  • 在线发布日期: 2025-06-16
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