文章摘要
赵婷婷,赵凤展,巨云涛,等.基于定常海森矩阵的配电网三相最优潮流模型[J].电力系统自动化. DOI: 10.7500/AEPS20170507003.
ZHAO Tingting,ZHAO Fengzhan,JU Yuntao, et al.Three-phase Optimal Power Flow Model for Distribution Network Based on Constant Hessian Matrix[J].Automation of Electric Power Systems. DOI: 10.7500/AEPS20170507003.
基于定常海森矩阵的配电网三相最优潮流模型
Three-phase Optimal Power Flow Model for Distribution Network Based on Constant Hessian Matrix
DOI:10.7500/AEPS20170507003
关键词: 主动配电网  三相最优潮流  三相变压器模型  内点法  海森矩阵  罚函数
KeyWords: active distribution network  three-phase optimal power flow  model of three-phase on-load tap-changer  interior point method  Hessian matrix  penalty function
上网日期:2018-07-05
基金项目:国家重点研发计划项目课题
作者单位E-mail
赵婷婷 中国农业大学信息与电气工程学院 zhaott@cau.edu.cn 
赵凤展 中国农业大学信息与电气工程学院 zhaofz@cau.edu.cn 
巨云涛 中国农业大学信息与电气工程学院 juyuntao@cau.edu.cn 
杜松怀 中国农业大学信息与电气工程学院 songhuaidu@cau.edu.cn 
张宇 中国农业大学 921250819@qq.com 
周献飞 国网北京市电力公司 763234119@qq.com 
摘要:
      含有高比例分布式电源和多种离散可调设备的主动配电网最优潮流问题,实质上是一种非凸、非线性混合整数优化问题,这类问题的求解速度较慢。本文提出基于定常海森矩阵的配电网三相最优潮流模型,模型中考虑了三相变压器、具有三相耦合特性的分布式电源、分相调压器等设备的二次模型,以保证海森矩阵为常数。通过增加支路电流为待求变量,提出直角坐标系下三相变压器的二次模型,使优化模型的海森矩阵为常数阵,从而降低最优潮流的计算时间。论文构建了计及分布式电源三相功率耦合特征的配电网三相最优潮流模型,比较了二次罚函数和高斯罚函数对离散控制变量的处理效果,并应用预估-校正原对偶内点法对优化模型进行求解。同时,提出加入调压器的二级迭代最优潮流策略,从而进一步优化目标值。最后,通过算例验证了所建模型与所提方法的正确性与有效性。#$NL关键词: 主动配电网; 三相最优潮流; 三相变压器模型; 内点法; 海森矩阵; 罚函数
Abstract:
      The optimal power flow problem for active distribution network with distributed generation and many kinds of discrete adjustable devices is essentially a non-convex, nonlinear mixed integer optimization problem. In this paper, a three-phase optimal power flow model for distribution network based on constant Hessian matrix is proposed. The model considers the second-order model of the three-phase on-load tap-changer, the distributed generation with three-phase coupling characteristics and voltage regulator, which guarantee a constant Hessian matrix throughout iterations. The second-order model of three-phase on-load tap-changer under Cartesian coordinate system is proposed, which makes the Hessian matrix of the optimization model is a constant matrix, thus reducing the time of optimal power flow. The three-phase optimal power flow model for active distribution network with three-phase coupling and three-phase distributed generation is considered, adding the voltage regulator to fine-tune the node voltage. The optimal model is solved by the interior point method of embedding quadratic penalty function and Gaussian penalty function. The correctness and effectiveness of the model and method are verified by an example.#$NLKeywords: active distribution network; three-phase optimal power flow; model of three-phase on-load tap-changer; interior point method; Hessian matrix; penalty function
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