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

Author

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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)

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.

Suggested Citation

  • Muhammad Moin & Waqas Ahmed & Muhammad Rehan & Muhammad Iqbal & Nasim Ullah & Kamran Zeb & Waqar Uddin, 2022. "A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources," Energies, MDPI, vol. 16(1), pages 1-23, December.
    • Handle: RePEc:gam:jeners:v:16:y:2022:i:1:p:447-:d:1020748
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    References listed on IDEAS

    as
    1. Yingjiang Zhou & Shigao Zhu & Qian Chen, 2020. "Distributed Prescribed Finite Time Consensus Scheme for Economic Dispatch of Smart Grids with the Valve Point Effect," Complexity, Hindawi, vol. 2020, pages 1-10, August.
    2. Kahvecioğlu, Gökçe & Morton, David P. & Wagner, Michael J., 2022. "Dispatch optimization of a concentrating solar power system under uncertain solar irradiance and energy prices," Applied Energy, Elsevier, vol. 326(C).
    3. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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