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Interior point method for long-term generation scheduling of large-scale hydrothermal systems

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  • Anibal Azevedo
  • Aurelio Oliveira
  • Secundino Soares

Abstract

This paper presents an interior point method for the long-term generation scheduling of large-scale hydrothermal systems. The problem is formulated as a nonlinear programming one due to the nonlinear representation of hydropower production and thermal fuel cost functions. Sparsity exploitation techniques and an heuristic procedure for computing the interior point method search directions have been developed. Numerical tests in case studies with systems of different dimensions and inflow scenarios have been carried out in order to evaluate the proposed method. Three systems were tested, with the largest being the Brazilian hydropower system with 74 hydro plants distributed in several cascades. Results show that the proposed method is an efficient and robust tool for solving the long-term generation scheduling problem. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Anibal Azevedo & Aurelio Oliveira & Secundino Soares, 2009. "Interior point method for long-term generation scheduling of large-scale hydrothermal systems," Annals of Operations Research, Springer, vol. 169(1), pages 55-80, July.
    • Handle: RePEc:spr:annopr:v:169:y:2009:i:1:p:55-80:10.1007/s10479-008-0389-z
    DOI: 10.1007/s10479-008-0389-z
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    References listed on IDEAS

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    1. Melville A. Hanscom & Louis Lafond & Leon Lasdon & Gaston Pronovost, 1980. "Modeling and Resolution of the Medium Term Energy Generation Planning Problem for a Large Hydro-Electric System," Management Science, INFORMS, vol. 26(7), pages 659-668, July.
    2. Richard E. Rosenthal, 1981. "A Nonlinear Network Flow Algorithm for Maximization of Benefits in a Hydroelectric Power System," Operations Research, INFORMS, vol. 29(4), pages 763-786, August.
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    Cited by:

    1. Wang, Jinwen & Chen, Cheng & Liu, Shuangquan, 2018. "A new field-levelling procedure to minimize spillages in hydropower reservoir operation," Energy, Elsevier, vol. 160(C), pages 979-985.
    2. Freitas, Juliana Campos de & Florentino, Helenice de Oliveira & Benedito, Antone dos Santos & Cantane, Daniela Renata, 2020. "Optimization model applied to radiotherapy planning problem with dose intensity and beam choice," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    3. Manolo Rodriguez Heredia & Aurelio Ribeiro Leite Oliveira, 2020. "A new proposal to improve the early iterations in the interior point method," Annals of Operations Research, Springer, vol. 287(1), pages 185-208, April.

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