Semi-definite Programming Approach to Stochastic Combined Heat and Power Environmental/Economic Dispatch Problem |
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Authors: | Abimbola Muhideen Jubril Adeyinka Olugbenga Adediji |
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Affiliation: | Department of Electronic and Electrical Engineering, Obafemi Awolowo University, Ile-Ife, Nigeria |
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Abstract: | This article presents a solution to the stochastic multi-objective combined heat and power environmental/economic dispatch problem using the semi-definite programming formulation. The vector objective is reduced to an equivalent scalar objective using the weighted sum method. The resulting optimization problem is formulated as a convex optimization via semi-definite programming relaxation. The convex optimization problem was solved to obtain Pareto-optimal solutions. Improvement in the distribution of solution set was achieved through non-linear selection of the weight factor. Simulation was performed on a test problem to investigate the effectiveness of the proposed approach. Results showed that the semi-definite programming based weighted sum method has inherently good convergence property and can have its diversity property improved through weight adaptation. |
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Keywords: | cogeneration economic dispatch emission dispatch multi-objective optimization semi-definite programming weighted sum method non-linear weighted sum method combined heat and power stochastic programming |
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