A New Approach Based on Benders Decomposition for Unit Commitment Problem
A New Approach Based on Benders Decomposition for Unit Commitment Problem
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DOI：
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发表时间：
2009
影响因子：
4.1
通讯作者：
S. Rahimi;T. Niknam;F. Fallahi
中科院分区：
文献类型：
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作者：
S. Rahimi;T. Niknam;F. Fallahi
本研究提出了一种基于广义弯曲器分解方法的新公式来解决热机组组合问题。这种新方法将问题分解为主问题和子问题。主问题是整数规划，子问题是非线性规划。主问题应用整数规划方法来求解（单元承诺）UC并找到单元的正确开/关状态。在所提出的方法中，子问题被建模为非线性问题，它使用主问题的输出形成适当的切割，并将它们添加到主问题中以求解 UC 的下一次迭代。提出了针对问题的两个部分的约束的适当表述。考虑到常用系统，获得的结果显示了该方法与其他方法相比的效率。
This study presents a new formulation based on generalized benders decomposition approach to solve thermal unit commitment problem. This new approach decomposes the problem into a master problem and a s ub-problem. The master problem is an integer program and sub-problem is a nonlinear program. The master problem applies the integer programming method to solve (Unit Commitment) UC and finds proper on/off states of the units. In the proposed approach, the sub-problem is modeled as a nonlinear problem and it uses the outputs of master problem to form appropriate cuts and adds them to the master problem for solving the next iteration of UC. Appropriate formulations of constraints for both parts of problem are presented. The results obtained, considering a commonly used system, show the efficiency of this approach in comparison with other methods.