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

Mohamed H. Hassan, Salah Kamel, Ali Selim, Tahir Khurshaid and José Luis Domínguez-García
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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

Mathematics, 2021, vol. 9, issue 13, 1-22

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.

Keywords: modified Rao algorithm; renewable energy sources; fuel cost minimization; optimal power flow (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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