| 引用本文: | 徐志友,王胜辉,许晓峰,张铁岩.弱节点排序参与因子的等价判据与比较[J].电力自动化设备,2012,32(12): |
| XU Zhiyou,WANG Shenghui,XU Xiaofeng,ZHANG Tieyan.Equivalent criterion and comparison of participation factor for weak bus ranking[J].Electric Power Automation Equipment,2012,32(12): |
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| 摘要: |
| 将降阶潮流雅可比矩阵的最小奇异值（最小特征值）指标与节点电压／无功灵敏度指标相结合，给出了按参与因子进行弱节点排序的等价判据，即最小奇异值（最小特征值）对节点灵敏度的偏导数，拓展了参与因子应用于弱节点排序的物理意义。在IEEE 30节点系统上的仿真表明：降阶潮流雅可比矩阵得出的特征参与因子和奇异参与因子相等，因此对弱节点排序的作用完全相同。对于降阶潮流雅可比矩阵和由潮流雅可比矩阵的对称部分得到的对称降阶潮流雅可比矩阵，按灵敏度和参与因子得到的若干个关键弱节点相同，但排序略有差异。为简化有关计算，建议采用对称降阶潮流雅可比矩阵。 |
| 关键词: 降阶潮流雅可比矩阵 参与因子 灵敏度分析 最小奇异值 最小特征值 稳定性 |
| DOI： |
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| 基金项目:国家自然科学基金资助项目（60972164） |
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| Equivalent criterion and comparison of participation factor for weak bus ranking |
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XU Zhiyou, WANG Shenghui, XU Xiaofeng, ZHANG Tieyan
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Shenyang Institute of Engineering，Shenyang 110136，China
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| Abstract: |
| Combining the minimum singular value （minimum eigenvalue） of order-reduced power flow Jacobian matrix with bus sensitivity considering voltage／reactive power，an equivalent criterion of participation factor used in weak bus ranking of static voltage stability is given，i.e.，the partial derivative of minimum singular value （minimum eigenvalue） with respect to bus sensitivity，which extends the physical meaning of participation factor applied to weak bus ranking. Simulation for IEEE 30-bus system shows that，the eigen participation factor and the singular participation factor obtained from the symmetric and order-reduced power flow Jacobian matrix are the same，and there is no any difference for weak bus ranking. While some critical weak buses obtained from two matrixes（the order-reduced power flow Jacobian matrix，and the symmetric and order-reduced power flow Jacobian matrix derived from the symmetric part of power flow Jacobian matrix） according to sensitivity or participation factor are basically the same，with a minor difference in ranking. To simplify the calculations，the symmetric and order-reduced power flow Jacobian matrix is recommended. |
| Key words: order-reduced power flow Jacobian matrix participation factor sensitivity analysis minimum singular value minimum eigenvalue stability |
