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A Model Predictive Control Approach to Combined Heat and Power Dynamic Economic Dispatch Problem

  • Research Article - Electrical Engineering
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Abstract

Combined heat and power dynamic economic dispatch (CHPDED) problem is a nonlinear constrained optimization problem, which determines the optimal heat and power schedule of committed generating units by minimizing the fuel cost and satisfying both the predicted heat and power load demands, ramp rate constraints, and other constraints over a time horizon. We assume that both the heat and power demands are periodic. In this paper, we first extend the CHPDED problem in such a way that its optimal solution can be periodically implemented. Then, we present a model predictive control (MPC) approach for the periodic implementation of the optimal solutions of the CHPDED problem. We assume that there are certain disturbances or uncertainties in the execution of the optimal controller. The convergence and robustness of the MPC algorithm are demonstrated through the application of MPC to the CHPDED problem with an eleven-unit system.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    A. M. Elaiw & M. A. Alghamdi

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

    A. M. Elaiw & A. M. Shehata

Authors
  1. A. M. Elaiw
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  2. A. M. Shehata
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  3. M. A. Alghamdi
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Correspondence to A. M. Elaiw.

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Elaiw, A.M., Shehata, A.M. & Alghamdi, M.A. A Model Predictive Control Approach to Combined Heat and Power Dynamic Economic Dispatch Problem. Arab J Sci Eng 39, 7117–7125 (2014). https://doi.org/10.1007/s13369-014-1218-0

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  • DOI: https://doi.org/10.1007/s13369-014-1218-0

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