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Application of Dynamic Non-Linear Programming Technique to Non-Convex Short-Term Hydrothermal Scheduling Problem

Author

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  • Omid Hoseynpour

    (Smart Energy Systems Laboratory, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-15813, Iran)

  • Behnam Mohammadi-ivatloo

    (Smart Energy Systems Laboratory, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-15813, Iran)

  • Morteza Nazari-Heris

    (Smart Energy Systems Laboratory, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-15813, Iran)

  • Somayeh Asadi

    (Department of Architectural Engineering, Pennsylvania State University, 104 Engineering Unit A, University Park, PA 16802, USA)

Abstract

Short-term hydro-thermal scheduling aims to obtain optimal generation scheduling of hydro and thermal units for a one-day or a one-week scheduling time horizon. The main goal of the problem is to minimize total operational cost considering a series of equality and inequality constraints. The problem is considered as a non-linear and complex problem involving the valve-point loading effect of conventional thermal units, the water transport delay between connected reservoirs, and transmission loss with a set of equality and inequality constraints such as power balance, water dynamic balance, water discharge, initial and end reservoir storage volume, reservoir volume limits and the operation limits of hydro and thermal plants. A solution methodology to the short-term hydro-thermal scheduling problem with continuous and non-smooth/non-convex cost function is introduced in this research applying dynamic non-linear programming. In this study, the proposed approach is applied to two test systems with different characteristics. The simulation results obtained in this paper are compared with those reported in recent research studies, which show the effectiveness of the presented technique in terms of total operational cost. In addition, the obtained results ensure the capability of the proposed optimization procedure for solving short-term hydro-thermal scheduling problem with transmission losses and valve-point effects.

Suggested Citation

  • Omid Hoseynpour & Behnam Mohammadi-ivatloo & Morteza Nazari-Heris & Somayeh Asadi, 2017. "Application of Dynamic Non-Linear Programming Technique to Non-Convex Short-Term Hydrothermal Scheduling Problem," Energies, MDPI, vol. 10(9), pages 1-17, September.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:9:p:1440-:d:112454
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    References listed on IDEAS

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    Cited by:

    1. Moura de Figueiredo, Nelio & Cavalcante Blanco, Claudio José & Pinheiro Campos Filho, Lúcio Carlos & Amarante Mesquita, André Luiz, 2023. "MUWOS - Multiple use water optimization system for the power generation and navigation trade-offs analysis," Renewable Energy, Elsevier, vol. 203(C), pages 205-218.
    2. Xiaoyu Wang & Kan Yang & Liu Yang, 2018. "Application Research of Inner-plant Economical Operation by Multi-colony Ant Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(13), pages 4275-4295, October.
    3. Nazari-Heris, Morteza & Babaei, Amir Fakhim & Mohammadi-Ivatloo, Behnam & Asadi, Somayeh, 2018. "Improved harmony search algorithm for the solution of non-linear non-convex short-term hydrothermal scheduling," Energy, Elsevier, vol. 151(C), pages 226-237.
    4. Krešimir Fekete & Srete Nikolovski & Zvonimir Klaić & Ana Androjić, 2019. "Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming," Energies, MDPI, vol. 12(9), pages 1-25, April.
    5. P. M. R. Bento & S. J. P. S. Mariano & M. R. A. Calado & L. A. F. M. Ferreira, 2020. "A Novel Lagrangian Multiplier Update Algorithm for Short-Term Hydro-Thermal Coordination," Energies, MDPI, vol. 13(24), pages 1-19, December.

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