1. Optimal Microgrid Sizing using Gradient-based Algorithms with Automatic Differentiation
- Author
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De Godoy Antunes, Evelise, Haessig, Pierre, Wang, Chaoyun, Chouhy Leborgne, Roberto, Universidade Federal do Rio Grande do Sul [Porto Alegre] (UFRGS), Institut d'Électronique et des Technologies du numéRique (IETR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Nantes Université - pôle Sciences et technologie, Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ), Projet interne GdR SEEDS (CNRS) 'Accélérer le dimensionnement des systèmesénergétiques avec la différentiation automatique'., Coordenação de Aperfeiçoamento de Pessoal de Nı́vel Superior - Brasil (CAPES) – Finance Code 001, Conselho Nacional e Desenvolvimento Cientı́fico e Tecnológico - Brasil (CNPq), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Nantes Université - pôle Sciences et technologie, Federal University of Rio Grande do Sul, Nantes Université (NU)-Université de Rennes 1 (UR1), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Université de Rennes 1 (UR1), Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Nantes (UN)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)
- Subjects
microgrid ,optimal sizing ,[SPI.NRJ]Engineering Sciences [physics]/Electric power ,automatic differentiation ,gradient-based optimization ,[SPI.AUTO]Engineering Sciences [physics]/Automatic - Abstract
Warning: this manuscript was submitted to the PSCC 2022 conference and is under review.; Microgrid sizing optimization is often formulated as a black-box optimization problem. This allows modeling the microgrid with a realistic temporal simulation of the energy flows between components. Such models are usually optimized with gradient-free methods, because no analytical expression for gradient is available. However, the development of new Automatic Differentiation (AD) packages allows the efficient and exact computation of the gradient of black-box models. Thus, this work proposes to solve the optimal microgrid sizing using gradient-based algorithms with AD packages. However, physical realism of the model makes the objective function discontinuous which hinders the optimization convergence. After an appropriate smoothing, the objective is still nonconvex, but convergence is achieved for more that 90 % of the starting points. This suggest that a multi-start gradient-based algorithm can improve the state-of-the-art sizing methodologies.
- Published
- 2022