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A linear Fuzzy Goal Programming Method for Solving Optimal Power Generation and Dispatch Problem

Author(s): Bijay Baran Pal, Mousumi Kumar

Journal: International Journal of Advanced Computer Research
ISSN 2249-7277

Volume: 3;
Issue: 8;
Start page: 56;
Date: 2013;
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Keywords: F uzzy goal programming | g oal programming | membership function | optimal power flow | Taylor Series approximation

Thispaperpresents howfuzzy goal programming(FGP)methodcan be efficiently usedmodeling andsolvingpower generation anddispatch(PGD)problems inpower system operation and planninghorizon.In the proposed approach, the objectives ofaprobleminvolvedwith optimal power flowcomputation areconsidered fuzzyin nature in anuncertain decision environment.In the model formulation of the problem,nonlinearin characteristics ofobjective functions are firstconvertedinto their equivalent linear formsbyusing Taylor Series approximationtechnique.Then,the defined fuzzy goals are characterized by theirmembership functions for measuring the degree ofachievementof goallevels ofthe objectivesspecifiedin the decisionsituation.In the solution process,minsumFGPmethodologyisaddressed tominimize the deviations from theaspired goal levels and therebyto reach asatisfactory decision on the basis of needs anddesires of the decision maker (DM) in the decisionmaking context.The power generation problem of thestandardIEEE 6-Generator 30-Bus System is considered toillustrate the potential use of the approach.
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