3/2013 - 18 |
Estimating Probability of Gas Breakdown Using Grey-Fuzzy LogicCHEN, M.-J. , WU, Y.-C. , WEN, K.-L. , TSAI, M.-T. |
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Author keywords
grey system theory, fuzzy theory, gas breakdown, probability estimation
References keywords
grey(25), system(12), fuzzy(12), chen(7), systems(6), deng(6), control(5), applications(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2013-08-31
Volume 13, Issue 3, Year 2013, On page(s): 113 - 120
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2013.03018
Web of Science Accession Number: 000326321600018
SCOPUS ID: 84884935729
Abstract
Designing the protection system of high voltage power systems involves elucidating the properties of gas breakdown. This work presents a simplified mathematical approach based on grey and fuzzy methods to estimate the probability of gas breakdown, which differs from other grey-fuzzy methods. With the help of the data normalization process and a linear fuzzy membership function in determining the proper value of the distinguishing coefficient, the proposed approach outperforms other grey-fuzzy-based methods, the curve fitting method, and the neural network method in terms of estimation accuracy. The average relative error of test cases 1 and 2 with the normalization processing is 6.43%, which is 2.53 lower than that of the neural network method, 4.35% lower than that of the curve fitting method, 17.64 lower than that of the 5-interval max-max fuzzy-grey method, 1.51% lower than that of the 5-interval min-min fuzzy-grey method, 13.87% lower than that of the 3-interval max-max method, and 2.72% lower than that of the 3-interval min-min method. |
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[1] The quantized transformation in Deng’s grey relational grade, Wen, Kunli, Grey Systems: Theory and Application, ISSN 2043-9377, Issue 3, Volume 6, 2016.
Digital Object Identifier: 10.1108/GS-06-2016-0012 [CrossRef]
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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