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电网技术  2014 

厂站接线可靠性分析的改进通用生成函数法

DOI: 10.13335/j.1000-3673.pst.2014.09.025, PP. 2473-2478

Keywords: 厂站接线,可靠性,通用生成函数方法,多状态系统,样本缩减

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Abstract:

基于通用生成函数(universalgeneratingfunction,UGF)方法和多状态系统(multi-statesystem,MSS)理论,提出了厂站接线可靠性评估的模型和算法,解析获得反映厂站接线整体性能的多状态概率分布表达式,据此可灵活求取系统可靠性指标。通过分析厂站接线的特点,定义了合适的性能函数和相应的算子,将各元件的连通性归并到各自起始节点上,以多项式的形式建立各节点的u函数模型,并通过节点集的u函数运算,获得综合反映厂站接线故障后果及其发生概率的多状态系统u函数;针对多环形拓扑结构中元件的备用与功率的转移,引入桥连结构及其修正计算,改进了UGF方法难以处理无向图的不足;为降低计算复杂度,通过前期对单纯串并联支路的等值和计算过程中的样本缩减技术,提高了计算效率。针对3/2接线方式的分析,及与蒙特卡罗方法计算结果的比较,验证了所提方法的正确性和有效性。

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