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求解机组组合问题的改进混合整数二次规划算法
引用本文:王楠,张粒子,谢国辉.求解机组组合问题的改进混合整数二次规划算法[J].电力系统自动化,2010,34(15):28-32.
作者姓名:王楠  张粒子  谢国辉
作者单位:华北电力大学电气与电子工程学院,北京市,102206
摘    要:混合整数二次规划(MIQP)算法求解机组组合问题具有全局优化能力,但是针对大规模优化问题,其计算速度和计算精度将受影响.文中提出了求解机组组合问题的改进MIQP算法.该算法的核心思想是引入了松弛和解耦2种改进策略.通过求解松弛整数变量的二次规划模型,首先获得机组组合的下界空间,然后再通过拉格朗日解耦算法获得机组组合的上界空间,进而在上下界确定的寻优空间内采用MIQP算法进行再优化.不同测试算例表明,改进的MIQP算法快速且有效,可以降低优化问题的复杂度,显著减少计算时间.

关 键 词:机组组合  混合整数二次规划  拉格朗日松弛
收稿时间:3/22/2010 9:03:56 AM
修稿时间:7/6/2010 9:47:49 PM

An Improved Mixed Integer Quadratic Programming Algorithm for Unit Commitment
WANG Nan,ZHANG Lizi,XIE Guohui.An Improved Mixed Integer Quadratic Programming Algorithm for Unit Commitment[J].Automation of Electric Power Systems,2010,34(15):28-32.
Authors:WANG Nan  ZHANG Lizi  XIE Guohui
Affiliation:WANG Nan,ZHANG Lizi,XIE Guohui(North China Electric Power University,Beijing 102206,China)
Abstract:The mixed integer quadratic programming (MIQP) algorithm for solving unit commitment problems has global optimization capability. For a large-scale optimization problem,however,its computation speed and accuracy will be affected. To deal with this problem,an improved mixed integer quadratic programming algorithm is presented. The crucial idea of the algorithm is the introduction of two kinds of improvement strategies of relaxation and decoupling. First,the lower bound space of unit commitment is obtained by...
Keywords:unit commitment  mixed integer quadratic programming  Lagrangian relaxation
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