基于区间优化算法的电力系统可靠性评估逆问题模型  

Inverse problem model of power system reliability evaluation based on interval optimization algorithm

作　　者：彭吕斌 胡博[1] 谢开贵[1] 孙悦 黄威 曹侃 周鲲鹏 PENG Lübin;HU Bo;XIE Kaigui;SUN Yue;HUANG Wei;CAO Kan;ZHOU Kunpeng(State Key Laboratory of Power Transmission Equipment&System Security and New Technology,Chongqing University,Chongqing 400044,China;Electric Power Research Institute,State Grid Hubei Electric Power Co.,Ltd.,Wuhan 430077,China)

机构地区：[1]重庆大学输配电装备及系统安全与新技术国家重点实验室,重庆400044 [2]国网湖北省电力有限公司电力科学研究院,湖北武汉430077

出　　处：《电力自动化设备》2023年第2期169-177,190,共10页Electric Power Automation Equipment

基　　金：国家电网有限公司总部管理科技项目(5100-202099273A-0-0-00)。

摘　　要：电力系统可靠性评估逆问题是指从已知的可靠性指标值出发求取未知的元件可靠性参数的问题,是电力系统可靠性领域一个重要的潜在研究方向。只有在待求可靠性参数个数与可靠性指标个数相等的特殊情形下,采用现有的逆问题研究方法才能取得参数的准确值。针对以上不足,首先,基于可靠性指标解析计算函数,构建逆问题的非线性方程组模型。其次,为计及已知可靠性指标个数大于、等于或小于待求参数个数的3种情形,将方程组模型转化为优化问题,建立逆问题的一般性模型。针对逆问题存在多解的情形,以可靠性参数优化为例,说明如何构建对应于具体工程问题的逆问题模型。然后,提出基于改进区间优化算法的逆问题求解方法,该方法能够在逆问题的不同情形之间进行切换,并确保求得最优解。最后,将所提方法应用于RBTS、IEEE-RTS系统和91节点系统,算例结果表明:针对逆问题的上述3种情形,采用所提方法均可有效求得准确的元件可靠性参数。Inverse problem of reliability evaluation of power system denotes that obtaining component reliability parameters(CRPs) from the known reliability indices,which is an important and potential research direction in the area of power system reliability. Only when the number of reliability parameters to be solved is equal to the number of reliability indices,the precise value of parameters can be obtained by adopting the existing inverse problem research method. In view of the above shortcomings,firstly,the nonlinear equation set model of inverse problem is constructed based on the analytical calculation function of reliability indices. Secondly,to consider the three conditions that the number of known reliability indices is larger than,equal to or less than the number of parameters to be solved,the general model of inverse problem is established by converting the equation set model to an optimization problem. For the multi-solution condition of inverse problem,the method to construct the inverse problem model associated with the engineering problem is illustrated by taking the reliability parameters optimization as an example. Then,the solution method of inverse problem based on the improved interval optimization algorithm is proposed,which can switch among different conditions of inverse problem and guarantee optimal solutions. Finally,the proposed model is applied on RBTS,IEEE-RTS,and 91-bus system,and the case study results show that the proposed method can obtain the precise values of CRPs effectively under the above three conditions of inverse problem.

关 键 词：电力系统 可靠性评估 逆问题 非线性优化 区间优化算法 

分 类 号：TM711[电气工程—电力系统及自动化] TM732