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基于动力学系统的最优潮流问题可行域刻画

江出阳 江晓东

电力系统及其自动化学报2017,Vol.29Issue(10):12-17,6.
电力系统及其自动化学报2017,Vol.29Issue(10):12-17,6.DOI:10.3969/j.issn.1003-8930.2017.10.003

基于动力学系统的最优潮流问题可行域刻画

Characterization of Feasible Region for Optimal Power Flow Problem Based on Dynamical System

江出阳 1江晓东2

作者信息

  • 1. 天津大学电气自动化与信息工程学院,天津 300072
  • 2. 美国康奈尔大学电气与计算机工程学院,伊萨卡 14853
  • 折叠

摘要

Abstract

Feasible region is fundamental and important for the optimal power flow(OPF)problem. Because of the exis?tence of nonlinear constraints,the feasible region of OPF problem is usually complex. In this paper,a non-hyperbolic dynamical system is proposed and its stable equilibrium manifolds will be used to completely characterize the feasible region of OPF problem. Meanwhile,the validity of the proposed method is verified by theoretical and numerical analy?sis. In the end,the stable equilibrium manifolds of the dynamical system are applied to visualize the feasible region of the OPF problem,and further analyze the variations of feasible region with different constraint parameters.

关键词

最优潮流/可行域/动力学系统/稳定平衡流形

Key words

optimal power flow(OPF)/feasible region/dynamical system/stable equilibrium manifold

分类

信息技术与安全科学

引用本文复制引用

江出阳,江晓东..基于动力学系统的最优潮流问题可行域刻画[J].电力系统及其自动化学报,2017,29(10):12-17,6.

基金项目

国家自然科学基金重点资助项目(51337007) (51337007)

电力系统及其自动化学报

OA北大核心CSCDCSTPCD

1003-8930

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