摘要
Dempster-Shafer(D-S)证据理论是在不考虑先验概率的情况下建模和处理不确定信息的有效数学工具。当两证据之间高度冲突时,Dempster组合规则会产生不合理的结果。针对这一问题,提出了一种基于散度差异值测度和信念熵的多传感器数据融合方法。提出了一种距离公式-单焦元三角散度来衡量两证据之间的距离,并由此计算出各证据的可信度。在D-S证据理论框架中提出了一种信念熵测度来度量各证据中包含的不确定信息,综合各证据的可信度和不确定度来计算各证据的权值,由此得到加权平均证据。利用Dempster组合规则融合加权平均证据得到最终融合结果。利用所提出的方法来解决变压器在线监测故障诊断实际应用问题,实验结果表明,提出的方法具有较快的收敛速度和较高的诊断精度,优于其他方法。
Dempster-Shafer(D-S)evidence theory is an effective mathematical tool for modeling and processing uncertain information without considering prior probability.However,when there is a high degree of conflict between the two bodies of evidence,Dempster’s combination rule will produce unreasonable results.To solve this problem,a multi-sensor data fusion method based on divergence difference measure and belief entropy is proposed.Firstly,a new distance based on the trigonometric divergence of single focal element is proposed to measure the distance between two bodies of evidence and calculate the reliability of each evidence.Then,in the framework of D-S evidence theory,a novel belief entropy measure is proposed to quantify the uncertain information contained in each evidence.Thereafter,the weight of each evidence is calculated by integrating the credibility and uncertainty of each evidence,and the weighted average evidence is obtained.Finally,Dempster’s combination rule is used to fuse the weighted average evidence to obtain the final fusion result.The proposed method is used to solve the practical application of transformer on-line monitoring fault diagnosis.Experimental results show that the proposed method has faster convergence speed and higher diagnosis accuracy,which is superior to other methods.
作者
江友华
谭杰
赵乐
江相伟
邹华菁
JIANG Youhua;TAN Jie;ZHAO Le;JIANG Xiangwei;ZOU Huajing(School of Electronic and Information Engineering,Shanghai Electric Power University,Shanghai 201306,Chin;Electric Power Research Institute of State Grid Shanghai Electric Power Company,Shanghai 200090,China;Anqing Power Supply Company of State Grid Anhui Electric Power Co.,Ltd.,Anqing,Anhui 246000,China)
出处
《计算机工程与应用》
CSCD
北大核心
2023年第12期132-140,共9页
Computer Engineering and Applications
基金
上海市科技计划项目(21ZR1424800)。
关键词
多传感器融合算法
D-S证据理论
信念熵
三角散度测量
证据冲突
multi-sensor fusion algorithm
D-S evidence theory
belief entropy
triangulation divergence measurement
evidence conflict
