引用本文: | 衣 涛,王承民,谢 宁,张 焰.重负荷状态下电力网络方程无解的最优调整策略[J].电力自动化设备,2014,34(10): |
| YI Tao,WANG Chengmin,XIE Ning,ZHANG Yan.Optimal adjustment strategy for unsolvable power network equation in heavy load condition[J].Electric Power Automation Equipment,2014,34(10): |
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摘要: |
研究电力系统潮流无解情况下的节点负荷最优调整策略对于电力系统稳定性分析非常重要。建立以节点电压和支路电流为变量的混合电力网络方程,得到以支路电流表示的节点电压的表达式和潮流无解的边界条件。以节点负荷调整量最小为优化目标得到Kuhn-Tucker条件,形成扩展的用于迭代计算的方程组,求解该方程即可得到给定条件下负荷最近的调整方向和最小的调整量值。仿真计算表明,所提方法是正确和有效的。 |
关键词: 混合电力方程 支路电流 潮流无解 潮流调整 Kuhn-Tucker条件 电力系统 稳定性 优化 负荷 |
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基金项目:基金项目:国家自然科学基金青年科学基金资助项目(51307108) |
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Optimal adjustment strategy for unsolvable power network equation in heavy load condition |
YI Tao, WANG Chengmin, XIE Ning, ZHANG Yan
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Department of Electrical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China
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Abstract: |
The optimal node load adjustment strategy of power system with unsolvable power flow is very important for the system stability analysis. With the node voltage and the branch current as its variables,the hybrid electric network equations are established,based on which,the expression of node voltage by branch current and the boundary conditions of unsolvable power flow are obtained. With the minimum node load adjustment as its optimization objective,the Kuhn-Tucker condition is obtained and the extended equations for iterative calculation are formed. The nearest adjustment direction and the minimum adjustment amount of the load under given condition are the solutions of the extended equations. Simulative calculation shows the proposed method is correct and effective. |
Key words: hybrid electric network equation branch current unsolvable power flow power flow regulation Kuhn-Tucker condition electric power systems stability optimization electric loads |