基于过渡状态的无功补偿装置的最优配置Optimal Allocation of Reactive Power Compensating Devices Based on Power System Transition States
王东,魏庆海,孙辉,邹积岩,彭昱
摘要(Abstract):
以弱节点作为无功补偿装置的最佳配置地点,提出了一种基于过渡状态的无功补偿装置最优配置问题的改进数学模型。该模型同以往模型的不同之处在于对安全性问题的考虑,直接将电压崩溃和恢复控制以费用函数来表示,并体现在目标函数中。求解该模型是一个混合整数非线性规划问题,采用多种群遗传算法来进行优化,避免了采用Benders 分解带来的解的发散问题。对AEP14节点系统的计算结果表明,文中的优化方法具有较强的工程实用性。
关键词(KeyWords): 电力系统;电压稳定性;无功补偿;过渡状态
基金项目(Foundation):
作者(Author): 王东,魏庆海,孙辉,邹积岩,彭昱
Email:
DOI: 10.13335/j.1000-3673.pst.2005.21.009
参考文献(References):
- [1] Obadina O O, Berg G J. Determination of voltage stability limit in multimachine power systems[J]. IEEE Trans on Power Systems, 1988, 3(4): 1545-1554.
- [2] Chen Y L. Weak bus oriented reactive power planning for system security[J] . IEE Proceedings-Generation, Transmission and Distribution, 1996, 143(6): 541-545.
- [3] Yorino N, El-Araby E E, Sasaki H et al. A new formulation for FACTS allocation for security enhancement against voltage collapse [J]. IEEE Trans on Power Systems, 2003, 18(1): 3-10.
- [4] de Souza A C Z. Tangent vector applied to voltage collapse and loss sensitivity studies[J]. Electric Power System Research, 1998, (47): 65-70.
- [5] Calvaer A. Voltage stability and voltage collapse[R]. CIGRE report, 1985.
- [6] Dehnel M, Dommel H W. A method for identifying weak nodes in nonconvergent load flows[J]. IEEE Trans on Power Systems, 1989, 4(2): 801-807.
- [7] Chen Y L, Chang C W, Liu C C. Efficient methods for identifying weak nodes in electrical power networks[J]. IEE Proceedings-Generation, Transmission and Distribution, 1995, 142(3): 317-322.
- [8] Chen Y L. Weak bus-oriented optimal multi-objective var planning [J]. IEEE Trans on Power Systems, 1996, 11(4): 1885-1890.
- [9] Gomez T, Lumbreras J, Parra V M. A security-constrained decomposition approach to optimal reactive power planning[J]. IEEE Trans on Power Systems, 1991, 6(3): 1069-1076.
- [10] Granville S, Lima M. Application of decomposition techniques to var planning: methodological and computational aspects[J]. IEEE Trans on Power Systems, 1994, 9(4): 1780-1787.
- [11] Parker C J, Marrison I F, Sutanto D. Application of an optimization method for determining the reactive margin from voltage collapse in reactive power planning[J]. IEEE Trans on Power Systems, 1996, 11(3): 1473-1481.
- [12] Vaahedi E, Tamby J, Mansour Y et al. Large scale voltage stability constrained optimal var planning and voltage stability application using existing OPF/optimal var planning tools[J]. IEEE Trans on Power Systems, 1999, 14(1): 65-74.
- [13]马晋韬,L.L.Lai,杨以涵.遗传算法在电力系统无功优化中的应 用[J].中国电机工程学报,1995,15(5):347-353. Ma Jintao, L.L.Lai, Yang Yihan. Application of genetic algorithms in reactive power optimization[J]. Proceedings of the CSEE, 1995, 15(5): 347-353.
- [14]张武军,叶剑锋,梁伟杰,等.基于改进遗传算法的多目标无功 优化[J].电网技术,2004,28(11):67-71. Zhang Wujun, Ye Jianfeng, Liang Weijie et al. Multiple-objective reactive power optimization based on improved genetic algorithm [J]. Power System Technology, 2004, 28(11): 67-71.
- [15]钟红梅,任震,张勇军,等.免疫算法及其在电力系统无功优化 中的应用[J],电网技术,2004,28(3):16-19. Zhong Hongmei, Ren Zhen, Zhang Yongjun et al. Immune algorithm and its application in power system reactive power optimization [J]. Power System Technology, 2004, 28(3): 16-19.
- [16]王小平,曹立明.遗传算法——理论、应用与软件实现[M].西 安:西安交通大学出版社,2002.