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fuzzy logic application in power system fault diagnosis

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Krisna Kant Gautam et al./ Indian Journal of Computer Science and Eng<strong>in</strong>eer<strong>in</strong>g (IJCSE)expert <strong>system</strong> gave <strong>in</strong>correct results due to the sharpness of the boundaries created by the if-then rules of the<strong>system</strong>; however, once a method for deal<strong>in</strong>g with uncerta<strong>in</strong>ty (<strong>in</strong> these two cases <strong>fuzzy</strong> set theory) was used,the expert <strong>system</strong> reached the desired conclusions. The expert knowledge takes the form of heuristics,procedural rules and strategies <strong>in</strong> nature. It <strong>in</strong>herently conta<strong>in</strong>s vagueness and imprecision. Uncerta<strong>in</strong>ty <strong>in</strong> rulebased expert <strong>system</strong>s occurs <strong>in</strong> two forms. The first form is l<strong>in</strong>guistic uncerta<strong>in</strong>ty which occurs if an antecedentconta<strong>in</strong>s vague statements such as the level is high" or "the value is near 20". The other form of uncerta<strong>in</strong>ty,called evidential uncerta<strong>in</strong>ty, occurs if the relationship between an observation and a conclusion is not entirelycerta<strong>in</strong>. This type of uncerta<strong>in</strong>ty is most commonly handled us<strong>in</strong>g conditional probability which <strong>in</strong>dicates thelikelihood that a particular observation leads to a specific conclusion. The study of mak<strong>in</strong>g decisions undereither of these types of uncerta<strong>in</strong>ty will be referred to as plausible or approximate reason<strong>in</strong>g <strong>in</strong> this work.Several methods of deal<strong>in</strong>g with uncerta<strong>in</strong>ty <strong>in</strong> expert <strong>system</strong>s have been proposed, <strong>in</strong>clud<strong>in</strong>gSubjective probabilityCerta<strong>in</strong>ty factorsFuzzy measuresFuzzy set theoryThe first three methods are generally used to handle evidential uncerta<strong>in</strong>ty, while the last method, <strong>fuzzy</strong> settheory is used to <strong>in</strong>corporate l<strong>in</strong>guistic uncerta<strong>in</strong>ty. [4]. As expert assessments of the <strong>in</strong>dicators of the problemmay be imprecise, <strong>fuzzy</strong> sets may be used for determ<strong>in</strong><strong>in</strong>g the degree to which a rule from the expert <strong>system</strong>applies to the data that is analyzed.4.Fuzzy LogicAnother method of deal<strong>in</strong>g with imprecise or uncerta<strong>in</strong> knowledge is to use <strong>fuzzy</strong> <strong>logic</strong>. Fuzzy <strong>logic</strong> is a <strong>system</strong>conceived by Zadeh for deal<strong>in</strong>g <strong>in</strong> <strong>in</strong>exact or unreliable <strong>in</strong>formation. In this method, an attempt is made toassign numerical ranges with a possibility value between zero and one to concepts and elements with values thatare hard to p<strong>in</strong> down. It allows you to work with ambiguous or <strong>fuzzy</strong> quantities such as large or small, or datathat is subject to <strong>in</strong>terpretation.FIG 1. Fuzzy Sets for representation of uncerta<strong>in</strong>ity5. Fault DiagnosisIn the past few years, great emphasis has been put <strong>in</strong> apply<strong>in</strong>g the expert <strong>system</strong>s for transmission <strong>system</strong> <strong>fault</strong><strong>diagnosis</strong>. However, very few papers deal with the unavoidable uncerta<strong>in</strong>ties that occur dur<strong>in</strong>g operation<strong>in</strong>volv<strong>in</strong>g the <strong>fault</strong> location and other available <strong>in</strong>formation. This paper shows a method us<strong>in</strong>g <strong>fuzzy</strong> sets to copewith such uncerta<strong>in</strong>ties.5.1 Problem StatementTo reduce the outage time and enhance service reliability, it is essential for dispatchers to locate <strong>fault</strong> sections <strong>in</strong>a <strong>power</strong> <strong>system</strong> as soon as possible. Currently, heuristic rules from dispatchers’ past experiences are extensivelyused <strong>in</strong> <strong>fault</strong> <strong>diagnosis</strong>. The important role of such experience has motivated extensive recent work [5-11] on the<strong>application</strong> of expert <strong>system</strong> <strong>in</strong> this field. A few papers have described and dealt with uncerta<strong>in</strong>ties <strong>in</strong>volv<strong>in</strong>g the<strong>fault</strong> location and other <strong>in</strong>formation available [12-15]. These uncerta<strong>in</strong>ties occur due to failures of protectiverelays and breakers, errors of local acquisition and transmission, and <strong>in</strong>accurate occurrence time, etc. Aneffective approach is thus necessary to deal with uncerta<strong>in</strong>ties <strong>in</strong> these expert <strong>system</strong>s. Fault <strong>diagnosis</strong> <strong>in</strong> electric<strong>power</strong> <strong>system</strong> is a facet operation. Every signal and step conta<strong>in</strong> some uncerta<strong>in</strong>ties, which can be modeled bymembership functions. Fuzzy set theory is used to determ<strong>in</strong>e the most likely <strong>fault</strong> sections <strong>in</strong> the approachpresented here. Membership functions of the possible <strong>fault</strong> sections are the most important factors <strong>in</strong> the<strong>in</strong>ference procedures and decision mak<strong>in</strong>g. In this example, the membership function of a hypothesis is used todescribe the extent to which the available <strong>in</strong>formation and the <strong>system</strong> knowledge match the hypothesis. They aremanipulated dur<strong>in</strong>g <strong>in</strong>ference based on rules concern<strong>in</strong>g <strong>fault</strong> sections.ISSN : 0976-5166 Vol. 2 No. 4 Aug -Sep 2011 556

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