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Article

A New Affinely Adjustable Robust Model for Security Constrained Unit Commitment under Uncertainty

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Research Group in Efficient Energy Management (GIMEL), Electrical Engineering Department, Universidad de Antioquia, Calle 67 No. 53-108, Medellín 050010, Colombia
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ALIADO—Analytics and Research for Decision Making, Department of Industrial Engineering, Universidad de Antioquia, Calle 67 No. 53-108, Medellín 050010, Colombia
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Author to whom correspondence should be addressed.
Academic Editors: Yosoon Choi and Amjad Anvari-Moghaddam
Appl. Sci. 2021, 11(9), 3987; https://doi.org/10.3390/app11093987
Received: 30 March 2021 / Revised: 21 April 2021 / Accepted: 25 April 2021 / Published: 28 April 2021
(This article belongs to the Special Issue Renewable Energy Systems: Optimal Planning and Design)
Currently, optimization models for the safe and reliable operation of power systems deal with two major challenges: the first one is the reduction of the computational load when considering N1 contingencies; the second one is the adequate modeling of the uncertainty of intermittent generation and demand. This paper proposes a new affinely adjustable robust model to solve the security constrained unit commitment problem considering these sources of uncertainty. Linear decision rules, which take into account the forecasts and forecast errors of the different sources of uncertainty, are used for the affine formulation of the dispatch variables, thus allowing the tractability of the model. Another major novelty is that the evaluation of the N1 security constraints is performed by incorporating a novel method, proposed in the literature, based on the user-cuts concept. This method efficiently and dynamically adds only the binding N1 security constraints, increasing the computational efficiency of the model when transmission line contingencies are considered. Finally, Monte Carlo simulations on the post-optimization results were run to demonstrate the effectiveness, feasibility and robustness of the solutions provided by the proposed model. View Full-Text
Keywords: power system; security-constraint unit commitment; robust optimization; uncertainty; renewable energy sources power system; security-constraint unit commitment; robust optimization; uncertainty; renewable energy sources
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MDPI and ACS Style

Sierra-Aguilar, J.E.; Marín-Cano, C.C.; López-Lezama, J.M.; Jaramillo-Duque, Á.; Villegas, J.G. A New Affinely Adjustable Robust Model for Security Constrained Unit Commitment under Uncertainty. Appl. Sci. 2021, 11, 3987. https://doi.org/10.3390/app11093987

AMA Style

Sierra-Aguilar JE, Marín-Cano CC, López-Lezama JM, Jaramillo-Duque Á, Villegas JG. A New Affinely Adjustable Robust Model for Security Constrained Unit Commitment under Uncertainty. Applied Sciences. 2021; 11(9):3987. https://doi.org/10.3390/app11093987

Chicago/Turabian Style

Sierra-Aguilar, Juan E., Cristian C. Marín-Cano, Jesús M. López-Lezama, Álvaro Jaramillo-Duque, and Juan G. Villegas. 2021. "A New Affinely Adjustable Robust Model for Security Constrained Unit Commitment under Uncertainty" Applied Sciences 11, no. 9: 3987. https://doi.org/10.3390/app11093987

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