A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources

Muhammad Moin, Waqas Ahmed, Muhammad Rehan (), Muhammad Iqbal, Nasim Ullah, Kamran Zeb () and Waqar Uddin
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Muhammad Moin: Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad 45650, Pakistan
Waqas Ahmed: Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad 45650, Pakistan
Muhammad Rehan: Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad 45650, Pakistan
Muhammad Iqbal: Department of Computer Science, National University of Technology (NUTECH), Islamabad 44000, Pakistan
Nasim Ullah: Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Kamran Zeb: School of Electrical Engineering and Computer Science, National University of Sciences and Technology, Islamabad 44000, Pakistan
Waqar Uddin: Department of Electrical Engineering, National University of Technology (NUTECH), Islamabad 44000, Pakistan

Energies, 2022, vol. 16, issue 1, 1-23

Abstract: This research focused on the design of a distributed approach using consensus theory to find an optimal solution of the economic dispatch problem (EDP) by considering the quadratic cost function along with the valve-point effect of generators and renewable energy systems (RESs). A distributed consensus approach is presented for the optimal economic dispatch under a complex valve-point effect by accounting for solar energy in addition to conventional power plants. By employing the beta distribution function and communication topology between generators, a new optimality condition for the dispatch problem was formulated. A novel distributed updation law for generation by considering the communication between generators was provided to deal with the valve-point effect. The convergence of the proposed updation law was proved analytically using Lyapunov stability and graph theory. An algorithm for ensuring a distributed economic dispatch via conventional power plants, integrated with solar energy, was addressed. To the best of the authors’ knowledge, a distributed nonlinear EDP approach for dealing with the valve-point loading issue via nonlinear incremental costs has been addressed for the first time. The designed approach was simulated for benchmark systems with and without a generation capacity constraint, and the results were compared with the existing centralized and distributed strategies.

Keywords: consensus; distributed algorithm; economic dispatch problem; renewable energy sources; incremental cost; non-smooth cost function; optimization; valve-point loading effect (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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