模糊集对分析模型在大型电力变压器状态评价中的应用

Application of fuzzy set pair analysis model to power transformer condition assessment

针对大型电力变压器状态评价中各评价参量的复杂性和不确定性,将集对分析和模糊层次分析理论应用于电力变压器的状态评价中,结合变压器评价的实际情况,遵循科学性、系统性、代表性等指标选取原则,构建变压器状态评价指标体系及评价等级标准;运用同、异、反分析,确定变压器状态评价指标和各评价因素的联系度,建立集对分析评价模型,并将模糊层次分析法引入该模型,依据构造模糊判断矩阵所反映实测数据的效用值,获得各评价指标权重,使权重的分配具有一定的理论依据。研究结果表明:集对分析方法正确,计算简便,用于电力变压器状态评价不仅具有模糊综合法的特性,而且具有信息利用率高、评价结果可靠等优点。

In view of the complexity and uncertainty of evaluation indicators for power transformer condition assessment, the theory of fuzzy set pair analysis was adopted.Combining actual situation of power transformer condition evaluation area, following the indicator select principle which includes scientificity, systematicness, representative and so on,a power transformer condition evaluation index system and evaluation grading standard were constructed, and the main features of the complex decision-making process and the identical discrepancy-contrary （IDC） system were analyzed to establish the connection degree formula.The connection degree of evaluated factors was calculated and a new set pair analysis（SPA） model was built, and the weights of evaluated factors in the model were obtained from fuzzy analytic hierarchy process.A transformer was taken as an experimental site through repeating trials in comparison with the other related methods.The results indicate that fuzzy set pair analysis model conforms power transformer condition evaluation, and it is simple and convenient. It has fuzzy synthetic properties, and can utilize adequate information to gain the reliable evaluation results through mathematical calculation, thus can provide a preliminary evaluation of power transformer condition.