基于半张量理论的电力系统稳定域边界逼近: （二）应用

MA Jin; CHENG Daizhan; MEI Shengwei; LU Qiang

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基于半张量理论的电力系统稳定域边界逼近: （二）应用

更新时间：2025-08-13

- 基于半张量理论的电力系统稳定域边界逼近: （二）应用
- Automation of Electric Power Systems Vol. 30, Issue 11, (2006)
- 作者机构：
  
  1. 华北电力大学电力系统保护与动态安全监控教育部重点实验室,北京市,102206
  2. 中国科学院数学与系统科学研究院,北京市,100080
  3. 清华大学电机系,北京市,100084
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
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MA Jin, CHENG Daizhan, MEI Shengwei, et al. [J]. Automation of electric power systems, 2006, 30(11).
DOI：

MA Jin, CHENG Daizhan, MEI Shengwei, et al. [J]. Automation of electric power systems, 2006, 30(11). DOI：

摘要

电力系统稳定域边界的逼近一直是应用能量函数方法分析电力系统暂态稳定的难点。采用能量函数方法所应用的电力系统数学模型，基于半张量理论所给出的电力系统稳定域边界逼近算法，文中分别对单机无穷大系统及IEEE 3机9节点标准测试系统的稳定域边界进行逼近，并依据近似的稳定域边界估计了临界切除时间。通过对近似稳定域边界的可视化及与传统的等能量函数曲线稳定域边界的对比，充分显示近似稳定域边界提高了直接法分析电力系统暂态稳定的精度。进一步指出了应用半张量方法逼近电力系统稳定域边界仍需深入研究的问题。

Abstract

Approximating the boundary of attraction region is very important to the application of the energy function method. Starting from the mathematical model of power system applied in energy function methods

the stability boundaries of one- machine infinite-bus system and IEEE three-machine nine-bus test system are approximated by applying the semi-tensor based stability boundary approximation algorithm. The critical clearing time is calculated based on the approximated boundary. Compared with the traditional stability boundary in the energy function method

the approximation enhances the accuracy of the direct method on transient stability analysis. The efficiency of the semi-tensor based stability boundary approximation algorithm is shown in the paper. The problems hindering the application of semi-tensor theory on large-scale power system are also pointed out in the paper.

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MA Jin

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Related Institution

Key Laboratory of Power System Protection and Dynamic Security Monitoring and Control Under Ministry of Education, North China Electric Power University

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