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A Study on Transmission System Expansion Planning using Fuzzy Branch and Bound Method  

Park, Jaeseok (Department of Electrical Engineering, Gyeongsang National University)
Sungrok Kang (Department of Electrical Engineering, Gyeongsang National University)
Kim, Hongsik (Department of Electrical Engineering, Gyeongsang National University)
Seungpil Moon (Department of Electrical Engineering, Gyeongsang National University)
Lee, Soonyoung (Department of Electrical Engineering, Gyeongsang National University)
Roy Billinton (Electrical Engineering Department, University of Saskatchewan, Canada)
Publication Information
KIEE International Transactions on Power Engineering / v.2A, no.3, 2002 , pp. 121-128 More about this Journal
Abstract
This study proposes a new method for transmission system expansion planning using fuzzy integer programming. It presents stepwise cost characteristics analysis which is a practical condition of an actual system. A branch and bound method which includes the network flow method and the maximum flow - minimum cut set theorem has been used in order to carry out the stepwise cost characteristics analysis. Uncertainties of the permissibility of the construction cost and the lenient reserve rate and load forecasting of expansion planning have been included and also processed using the fuzzy set theory in this study. In order to carry out the latter analysis, the solving procedure is illustrated in detail by the branch and bound method which includes the network flow method and maximum flow-minimum cut set theorem. Finally, case studies on the 21- bus test system show that the algorithm proposed is efficiently applicable to the practical expansion planning of transmission systems in the future.
Keywords
transmission system expansion planning; fuzzy set theory; fuzzy integer programming; fuzzy branch and bound method;
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