考虑线路故障的随机潮流  

PROBABILISTIC LOAD FLOW METHOD CONSIDERING BRANCH OUTAGES

作　　者：胡泽春[1] 王锡凡[1] 张显[1] 王秀丽[1] 

机构地区：[1]西安交通大学电气工程学院,陕西省西安市710049

出　　处：《中国电机工程学报》2005年第24期26-33,共8页Proceedings of the CSEE

基　　金：国家重点基础研究专项经费项目(2004CB217905)~~

摘　　要：该文给出了一种考虑线路随机故障的随机潮流算法。文中将线路随机故障等效为线路端节点注入功率的扰动,将负荷波动和发电机故障都当作节点注入功率的变化,以线性化的潮流方程计算它们引起节点电压和支路功率的变化量。为减小线性化引起的误差,对系统影响较大的离散扰动以确定性潮流计算系统状态的变化。在求节点电压和支路功率分布的各阶半不变量时对连续正态分布和离散分布2部分分别计算。用VonMises提出的方法由各阶矩求离散分布,与正态分布卷积后获得电压和支路功率的分布函数。对RTS24节点系统的算例分析了线路故障对随机潮流结果的影响。测试表明,文中的随机潮流算法和蒙特卡罗法计算结果是一致的,计算速度则要快得多。对某实际系统的测试则给出了随机潮流应用的可能性。This paper proposes a probabilistic load flow （PLF） method considering random branch outages as well as uncertainties of nodal power injections. Branch outages are simulated by suitable power injections at corresponding nodes. Fluctuation of loads and unscheduled unit outages are all considered as disturbances of nodal power injections. Linearization formulation of power flow equations are employed to solve the variations of state variables under these uncertainties. To reduce the error raised by linearization, deterministic power flow is run under those discrete disturbances which have considerable influences to the system. To obtain the cumulants of the distributions of nodal voltages and branch powers, continuous and discrete distribution parts are calculated respectively. The discrete distribution is solved by the method proposed by Von Mises based on moments. The distribution functions of nodal voltages and branch powers are found by convoluting their discretely and normally distributed part. Influence of branch outages to the results is analyzed through a case study of the RTS 24-node system. Tests show that the proposed PLF method can obtain similar results as Monte Carlo simulation method with much higher speed. An application of the proposed PLF method to a practical system is also given to show usefulness of the proposed method.

关 键 词：电力系统 随机潮流 线路故障 分布函数 半不变量 

分 类 号：TM76[电气工程—电力系统及自动化]