A transmission-constrained unit commitment method in power system scheduling |
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| Affiliation: | 1. Department of Industrial Engineering Operations Research, University of California, Berkeley, CA 94720, USA;2. Pacific Gas Electric Company, San Francisco, CA 94177, USA;1. Belize Electricity Limited, Belize;2. Faculty of Mechanical and Electrical Engineering, Autonomous University of Nuevo Leon, Nuevo Leon, Mexico;3. Institute of Engineering, National Autonomous University of Mexico, Mexico City, Mexico;1. Laboratoire Physique des Matériaux, Structures et Propriétés Groupe Physique des Composants et Dispositifs Nanométriques, Facultés des sciences de Bizerte,7021 Jarzouna-Bizerte, Tunisia;2. Aix-Marseille University, Centre Interdisciplinaire de Nanosciences de Marseille CINaM, UMR CNRS 7325, Marseille, France;3. Ingénierie des Matériaux Polymères, CNRS UMR5223, Université de Lyon, Université Lyon1, 15 boulevard Latarget, F-69622 Villeurbanne, France;1. UFBA, Instituto de Matemática, Campus de Ondina, Av. Adhemar de Barros, S/N. CEP 40170-110, Salvador, Brazil;2. Departamento de Matemática, PUC-RIO, Rua Marquês de São Vicente, no. 225, 22453-900, Rio de Janeiro, RJ, Brazil;3. CMAT, Centro de Matemática da Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal;4. Institute of Complex Systems II, Forschungszentrum Jülich, 52428 Jülich, Germany;1. Dipartimento PAU, Università ‘Mediterranea’ di Reggio Calabria, Via Melissari 24, 89124 Reggio Calabria, Italy;2. Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana, Kardeljeva Pl. 16, Ljubljana, 1000 Slovenia;3. Dipartimento di Scienze Pure e Applicate (DiSPeA), Università degli Studi di Urbino ‘Carlo Bo’, Piazza della Repubblica 13, 61029 Urbino, Pesaro e Urbino, Italy |
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| Abstract: | This paper presents a transmission-constrained unit commitment method using a Lagrangian relaxation approach. Based on a DC power flow model, the transmission constraints are formulated as linear constraints. The transmission constraints, as well as the demand and spinning reserve constraints, are relaxed by attaching Lagrange multipliers. A three-phase algorithmic scheme is devised including dual optimization, a feasibility phase and unit decommitment. A large-scale test problem with more than 2200 buses and 2500 transmission lines is tested along with other test problems. |
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