Solution of optimal power flow problem using sine-cosine mutation based modified Jaya algorithm: a case study

ABSTRACT

For planning the economic operation and control of an existing electricity grid and its future extension planning, the optimal power flow (OPF) results are essential. In this paper, a hybrid algorithm is proposed, which is based on a sine-cosine mutation operator and a modified Jaya (SCM-MJ) algorithm to solve the OPF problems. The efficacy of the SCM-MJ algorithm is primarily evaluated using thirteen (unimodal and multimodal) mathematical benchmark functions. Later, the SCM-MJ algorithm is applied on the Algerian 59-bus system and IEEE 118-bus test system to handle the OPF problems. The SCM-MJ has successfully achieved a minimum value of an objective function over several runs than other modern meta-heuristic optimization approaches in all the thirteen mathematical benchmark functions as well as in OPF case studies. For example, in the Algerian 59-bus system, the quadratic fuel cost obtained by SCM-MJ is 1688 $/hour, with a saving of 13.12% of the initial fuel cost. This benefit increases further with the size of the system. The SCM-MJ algorithm has provided high-quality solutions for mathematical benchmark functions and OPF problems quickly and efficiently. The comparison of numerical outcomes demonstrates that the suggested SCM-MJ algorithm dominates over other approaches for solving the OPF problem.

KEYWORDS:

• Meta-heuristic
• modified jaya algorithm
• opf
• SCM-MJ algorithm
• sine-cosine mutation

Nomenclature

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Additional information

Notes on contributors

Saket Gupta

Saket Gupta obtained his  B.E. degree in Electrical Engineering from Samrat Ashok Technological Institute, Vidisha, India in 2012 and M. E. degree in Industrial Systems & Drives from Madhav Institute of Technology and Science Gwalior India, in 2015, respectively. He is currently working toward the Ph.D. degree at Delhi Technological University, New Delhi, India. His research interests include Nature Inspired algorithm and their applications in Power System.

Narendra Kumar

Narendra Kumar received his B. Tech. degree in Electrical Engineering and M. Tech. degree in Power System and Drives from Aligarh Muslim University, Aligarh, India, in 1984 and 1987, respectively and Ph.D. in Electrical Engineering from University of Roorkee (Presently IIT Roorkee) India. He is currently working as a Professor at Delhi Technological University, New Delhi, India. Dr. Kumar has presented / published 230 research papers in reputed international/national journals and conference proceedings. He worked as an active reviewer of research papers of various international journals of repute like IEEE Transactions on Power System, IEEE Transactions on Smart Grid, IEEE Systems, IET Proceedings Generation, Transmission and Distribution, Electric Power Application, Power Electronics, Renewable Energy, Int. Journal of Computers & Electrical Engineering, Applied Soft Computing, Journal of Electric Power Components and Systems etc. His research interests include Power System Operation & Control, Soft Computing Applications to Electrical Power System, FACTS, AGC etc. He is Life Member Systems Society of India, Life Member Indian Society for Technical Education, Senior Member, IEEE, Fellow of Institution of Engineers India, Member Institution of Engineering and technology (IET, UK), Member IEEE USA.

Laxmi Srivastava

Laxmi Srivastava obtained her B.E and Ph.D. in Electrical Engineering from University of Roorkee (Presently IIT Roorkee) India and M. Tech. in Electrical Engineering from IIT, Kanpur. She is a Professor in the Department of Electrical Engineering, M.I.T.S. Gwalior, India. Dr. Srivastava has published / presented more than 245 research papers in reputed international/national journals and conference proceedings. She is currently involved in research in AI applications in Power System Security Analysis, Optimization and Control. Dr. Srivastava has worked as reviewer of research papers of various international journals of repute. She is a Fellow of the Institution of Engineers, IE(I), Senior Member of IEEE, Life member of Indian Society for Technical Education (ISTE), Institution of Electronics & telecommunication Engineers (IETE), Computer Society of India (CSI) and Indian Women Scientist Association (IWSA).