Multi-Constrained Optimal Power Flow by an opposition-based differential evolution

Y. Y. Chen, C. Y. Chung

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

8 Citations (Scopus)


This paper proposes a robust method for solving the Multi-Constrained Optimal Power Flow (MCOPF) problem based on an opposition-based differential evolution (ODE) algorithm. The MCOPF problem, which considers transient stability, valve-point effects, prohibited operating zones, and branch flow thermal constraints, is a nonlinear, nonconvex, and nondifferentiable optimization problem in power system planning and operation, and is very difficult for conventional optimization methods to handle. The proposed ODE is an enhanced differential evolution (DE) method and employs the Opposition-Based Learning (OBL) for population initialization, production of new generations and also improving population's best fitness value. Numerical tests comparing conventional DE and ODE methods on the New England 10-generator, 39-bus system have validated the effectiveness and robustness of the proposed approach both in convergence speed and solution accuracy.

Original languageEnglish
Title of host publication2012 IEEE Power and Energy Society General Meeting, PES 2012
Publication statusPublished - Jul 2012
Event2012 IEEE Power and Energy Society General Meeting, PES 2012 - San Diego, CA, United States
Duration: 22 Jul 201226 Jul 2012

Publication series

NameIEEE Power and Energy Society General Meeting
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933


Conference2012 IEEE Power and Energy Society General Meeting, PES 2012
Country/TerritoryUnited States
CitySan Diego, CA


  • opposition-based differential evolution
  • Optimal power flow
  • prohibited operating zones
  • transient stability
  • valve-point effects

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering


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