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An interval type-2 fuzzy stochastic approach for regional-scale electric power system under parameter uncertainty
Authors:Li Wang  Lei Jin
Institution:1. School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian Province, China;2. School of Environmental Science and Engineering, Xiamen University of Technology, Xiamen, Fujian Province, China;3. Faculty of Engineering, McMaster University, Hamilton, Canada
Abstract:In this study, an interval type-2 fuzzy stochastic linear programming method (IT2FSLP) is developed to support regional-scale electric power system (REM) planning. The IT2FSLP-REM model is based on an integration of interval type-2 fuzzy sets boundary programming and stochastic linear programming techniques enable it to have robust abilities to the deal with uncertainties expressed as type-2 fuzzy intervals and probabilistic distributions within a general optimization framework. Moreover, it can reflect dynamic decisions for energy supply and energy conversion processes, as well as provide capacity expansion options with multiple periods. The developed model is applied to a case of planning regional-scale energy and environmental systems to demonstrate its applicability. Based on a two-step solution algorithm, reasonable solutions have been obtained, which reflect tradeoffs among economic cost, environmental requirements, and energy-supply security. Thus, the lower and upper solutions of IT2FSLP-REM would then help energy authorities adjust or justify allocation patterns of regional energy resources and services.
Keywords:Interval type-2 fuzzy  stochastic  linear programming  regional-scale electric power system
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