引用本文:金广厚,李若明,刘佳.基于最优数学规划方法的谐波污染管理[J].电力自动化设备,2006,(2):16-20
.Harmonic pollution management based on optimizing mathematic programming methods[J].Electric Power Automation Equipment,2006,(2):16-20
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基于最优数学规划方法的谐波污染管理
金广厚,李若明,刘佳
作者单位
摘要:
电网电磁环境的管理不但要保持良好的电能质量,而且最终要追求社会利益的最大化。现行的谐波污染管理方法没有考虑用户侧的经济因素,不考虑负荷的谐波排放能力以及对电磁环境的敏感程度和损失大小,不能实现社会综合损失最小化。基于以上考虑将谐波污染的最优管理分解为定量谐波污染的最优分配和谐波污染最优总量的确定2部分工作。对于前者,根据谐波合成的性质,低次和高次谐波最优分配分别为线性规划和非线性规划问题;而后者则为只有一个决策变量的非线性规划问题。最后,应用单纯形法、Lagrange乘数法和一维搜索方法确定了最优谐波污染管理方法,算例表明该方法降低了社会综合损失。
关键词:  电能质量,谐波污染,数学规划
DOI:
分类号:TM714 F123.9
基金项目:
Harmonic pollution management based on optimizing mathematic programming methods
JIN Guang-hou  LI Ruo-ming  LIU Jia
Abstract:
Electromagnetic environment management in power grid is to pursue high power quality and optimize finally integrated social benefit.Current method of harmonic management doesn't take into consideration the customer's economic factors,load emission capability,sensitivity to power quality and loss degree.Thus the minimal social compositive loss cannot be achieved.Considering those points mentioned,the harmonic management is disassembled into two parts:to optimize distribution of quantificational harmonic pollution and to determine optimum gross of harmonic pollution.For the former,based on the characters of harmonic composition,optimal distributions of lower and higher harmonics are linear and nonlinear programming respectively.While the latter is a nonlinear programming with only one decision-variable.An optimized harmonic management method applying simplex method,Lagrange-multiplier method and one-dimension searching method is proposed.Example indicates that this method reduces social compositive loss.
Key words:  power quality,harmonic pollution,mathematic programming

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