Ewoa-opf: Effective whale optimization algorithm to solve optimal power flow problem

Mohammad H. Nadimi-Shahraki, Shokooh Taghian, Seyedali Mirjalili, Laith Abualigah, Mohamed Abd Elaziz, Diego Oliva

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


The optimal power flow (OPF) is a vital tool for optimizing the control parameters of a power system by considering the desired objective functions subject to system constraints. Me-taheuristic algorithms have been proven to be well-suited for solving complex optimization prob-lems. The whale optimization algorithm (WOA) is one of the well-regarded metaheuristics that is widely used to solve different optimization problems. Despite the use of WOA in different fields of application as OPF, its effectiveness is decreased as the dimension size of the test system is in-creased. Therefore, in this paper, an effective whale optimization algorithm for solving optimal power flow problems (EWOA-OPF) is proposed. The main goal of this enhancement is to improve the exploration ability and maintain a proper balance between the exploration and exploitation of the canonical WOA. In the proposed algorithm, the movement strategy of whales is enhanced by introducing two new movement strategies: (1) encircling the prey using Levy motion and (2) search-ing for prey using Brownian motion that cooperate with canonical bubble-net attacking. To validate the proposed EWOA-OPF algorithm, a comparison among six well-known optimization algorithms is established to solve the OPF problem. All algorithms are used to optimize single-and multi-ob-jective functions of the OPF under the system constraints. Standard IEEE 6-bus, IEEE 14-bus, IEEE 30-bus, and IEEE 118-bus test systems are used to evaluate the proposed EWOA-OPF and comparative algorithms for solving the OPF problem in diverse power system scale sizes. The comparison of results proves that the EWOA-OPF is able to solve single-and multi-objective OPF problems with better solutions than other comparative algorithms.

Original languageEnglish
Article number2975
JournalElectronics (Switzerland)
Issue number23
Publication statusPublished - 1 Dec 2021


  • Metaheuristic algorithms
  • Optimal power flow
  • Optimization
  • Whale optimization algorithm


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