Mathematical Biosciences and Engineering (Mar 2019)

A hybrid invasive weed optimization algorithm for the economic load dispatch problem in power systems

  • Zhi-xin Zheng,
  • Jun-qing Li,
  • Hong-yan Sang

DOI
https://doi.org/10.3934/mbe.2019138
Journal volume & issue
Vol. 16, no. 4
pp. 2775 – 2794

Abstract

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In this study, a hybrid invasive weed optimization (HIWO) algorithm that hybridizes the invasive weed optimization (IWO) algorithm and genetic algorithm (GA) has been proposed to solve economic dispatch (ED) problems in power systems. In the proposed algorithm, the IWO algorithm is used as the main optimizer to explore the solution space, whereas the crossover and mutation operations of the GA are developed to significantly improve the optimization ability of IWO. In addition, an effective repair method is embedded in the proposed algorithm to repair infeasible solutions by handing various practical constraints of ED problems. To verify the optimization performance of the proposed algorithm and the effectiveness of the repair method, six ED problems in the different-scale power systems were tested and compared with other algorithms proposed in the literature. The experimental results indicated that the proposed HIWO algorithm can obtain the more economical dispatch solutions, and the proposed repair method can effectively repair each infeasible dispatch solution to a feasible solution. The convergence capability, applicability and effectiveness of HIWO were also demonstrated through the comprehensive comparison results.

Keywords