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A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources

Author

Listed:
  • Mohamed H. Hassan

    (Electrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, Egypt)

  • Salah Kamel

    (Electrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, Egypt)

  • Ali Selim

    (Electrical Engineering Department, Faculty of Engineering, Aswan University, Aswan 81542, Egypt)

  • Tahir Khurshaid

    (Electrical Engineering Department, Yeungnam University, Gyeongsan 38541, Korea)

  • José Luis Domínguez-García

    (IREC Catalonia Institute for Energy Research, Jardins de les Dones de Negre 1, 2a, 08930 Sant Adrià de Besòs, Barcelona, Spain)

Abstract

In this paper, a modified Rao-2 (MRao-2) algorithm is proposed to solve the problem of optimal power flow (OPF) in a power system incorporating renewable energy sources (RES). Quasi-oppositional and Levy flight methods are used to improve the performance of the Rao algorithm. To demonstrate effectiveness of the MRao-2 technique, it is tested on two standard test systems: an IEEE 30-bus system and an IEEE 118-bus system. The objective function of the OPF is the minimization of fuel cost in five scenarios. The IEEE 30-bus system reflects fuel cost minimization in three scenarios (without RES, with RES, and with RES under contingency state), while the IEEE 118-bus system reflects fuel cost minimization in two scenarios (without RES and with RES). The achieved results of various scenarios using the suggested MRao-2 technique are compared with those obtained using five recent techniques: Atom Search Optimization (ASO), Turbulent Flow of Water-based Optimization (TFWO), Marine Predators Algorithm (MPA), Rao-1, Rao-3 algorithms, as well as the conventional Rao-2 algorithm. Those comparisons confirm the superiority of the MRao-2 technique over those other algorithms in solving the OPF problem.

Suggested Citation

  • Mohamed H. Hassan & Salah Kamel & Ali Selim & Tahir Khurshaid & José Luis Domínguez-García, 2021. "A Modified Rao-2 Algorithm for Optimal Power Flow Incorporating Renewable Energy Sources," Mathematics, MDPI, vol. 9(13), pages 1-22, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1532-:d:584955
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    References listed on IDEAS

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