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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 971257, 11 pages
Research Article

A Fault Diagnosis Method of Power Systems Based on Gray System Theory

College of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Received 22 August 2014; Revised 9 November 2014; Accepted 13 November 2014

Academic Editor: XiaoSheng Si

Copyright © 2015 Huang Darong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To provide some decision-making suggestions for fault diagnosis in power systems, a new model for identifying fault component is constructed by using Gray theory. Firstly, the basic concepts of Gray theory are introduced and explained in detail. And then the recognition algorithm of the power supply interrupted districts and the assignment principle of fault state vectors are depicted according to the working principle of protective relays (PRs) and circuit breakers (CBs). Secondly, based on the concept of the Gray correlation degree, the fault information explanation degree model is constructed and the judging method of malfunction and rejection for PRs and CBs is established. Meanwhile, to achieve the goal of the fault diagnosis, the fault diagnosis procedure that determined which components malfunction is designed for power systems. Finally, some simple experiments have already verified that the proposed method and model are effective and reasonable and the trend of further research is analyzed and summarized.