An optimization methodology for self-consumption of residential photovoltaic energy. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Amabile, Loris; Bresch-Pietri, Delphine; Hajje, Gilbert El; Labbe, Sébastien; Petit, Nicolas
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 13196
• Page End: 13203
• Publication Date: 2020
• Subjects: Energy Management System -- Industrial applications of optimization -- Modeling -- simulation of power system -- Energy Control -- Optimization -- Smart Grids; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.145
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper considers the optimization of the self-consumed power locally produced by residential photovoltaic panels. We focus on a simplified set-up where only the Electric Water Heater (EWH) is regulated, while the rest of the appliances represents an uncontrollable load. We formulate an unconstrained optimization problem by inverting the EWH dynamics and prove that the corresponding objective function is continuously differentiable. Thanks to an explicit characterization of its critical points, we propose a tailored and computationally efficient optimization algorithm. Simulations performed in Dymola over a one-year time horizon allow us to demonstrate the merits and performances of the proposed method.