An Integrated Decision-Making Model for Transformer Condition Assessment Using Game Theory and Modified Evidence Combination Extended by D Numbers

Abstract

Abstract:The power transformer is one of the most critical and expensive components for the stable operation of the power system. Hence, how to obtain the health condition of transformer is of great importance for power utilities. Multi-attribute decision-making (MADM), due to its ability of solving multi-source information problems, has become a quite effective tool to evaluate the health condition of transformers. Currently, the analytic hierarchy process (AHP) and Dempster-Shafer theory are two popular methods to solve MADM problems; however, these techniques rarely consider one-sidedness of the single weighting method and the exclusiveness hypothesis of the Dempster-Shafer theory. To overcome these limitations, this paper introduces a novel decision-making model, which integrates the merits of fuzzy set theory, game theory and modified evidence combination extended by D numbers, to evaluate the health condition of transformers. A four-level framework, which includes three factors and seventeen sub-factors, is put forward to facilitate the evaluation model. The model points out the following: First, the fuzzy set theory is employed to obtain the original basic probability assignments for all indices. Second, the subjective and objective weights of indices, which are calculated by fuzzy AHP and entropy weight, respectively, are integrated to generate the comprehensive weights based on game theory. Finally, based on the above two steps, the modified evidence combination extended by D numbers, which avoids the limitation of the exclusiveness hypothesis in the application of Dempster-Shafer theory, is proposed to obtain the final assessment results of transformers. Case studies are given to demonstrate the proposed modeling process. The results show the effectiveness and engineering practicability of the model in transformer condition assessment.

Grey Relational Analysis for Insulation Condition Assessment of Power Transformers Based Upon Conventional Dielectric Response Measurement

“…Firstly, the insulation oil and oil-impregnated pressboard samples preprocessed in Section 2.1 are taken out from the vacuum chamber and then placed into five thermal aging cans named as No. 1,No. 2,No.…”

“…Initial slope of RVM t cdom CTC value of RVM, s tan δ f=10 −1 Dielectric dissipation factor at f = 10 −1 tan δ f=10 0 Dielectric dissipation factor at f = 10 0 tan δ f=10 1 Dielectric dissipation factor at f = 10 1…”

“…An oil-impregnated transformer is commonly considered as one of the most crucial pieces of equipment in the electric power transmission and distribution systems [1][2][3]. Unfortunately, it is a fact that the electrical and mechanical properties of the transformer oil-paper insulation system become aging gradually due to the combination stresses of the mechanical vibration, thermal, electrical, oxygen, water and other factors, in the long-term service process [4][5][6][7][8].…”

Power Transformer Diagnostics, Monitoring and Design Features

“…Sun et al [1] proposed a new decision-making model for transformer condition assessment. The new model integrates the merits of fuzzy set theory, game theory and modified evidence combination extended by D numbers.…”

Intuitionistic-Fuzzy Goals in Zero-Sum Multi Criteria Matrix Games

“…Therefore, the uncertainty should be considered in the game theory problems [8]. In the recent past, there have been attempts to extend the results of crisp game theory to those conflict resolution problems that are fuzzy in nature, e.g., Sharifan et al [9], Faizi et al [10], and Sun et al [11]. These developments have lead to the emergence of a new area in the literature called fuzzy games.…”