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Semi-definite Programming Approach to Stochastic Combined Heat and Power Environmental/Economic Dispatch Problem

机译：热电随机环境/经济调度问题的半定规划方法

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摘要

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.
机译：本文利用半定规划公式提出了一种随机的多目标热电联产环境/经济调度问题的解决方案。使用加权和方法将向量目标简化为等效的标量目标。最终的优化问题通过半定规划松弛被公式化为凸优化。解决凸优化问题以获得帕累托最优解。通过非线性选择权重因子，解决方案集的分布得到了改善。对一个测试问题进行了仿真，以研究所提出方法的有效性。结果表明，基于半定规划的加权求和方法具有内在的良好收敛性，可以通过权重匹配来改善其多样性。

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