Semi-definite Programming Approach to Stochastic Combined Heat and Power Environmental/Economic Dispatch Problem
| Autor: | Adeyinka Olugbenga Adediji, A. M. Jubril |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Semidefinite programming
Mathematical optimization Optimization problem Mechanical Engineering Goal programming Convex optimization Energy Engineering and Power Technology Electrical and Electronic Engineering Multi-objective optimization Active set method Stochastic programming Nonlinear programming Mathematics |
| Zdroj: | Electric Power Components and Systems. 43:2039-2049 |
| ISSN: | 1532-5016 1532-5008 |
| DOI: | 10.1080/15325008.2015.1075082 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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