The progressive shift towards green energy and the implementation of policies for limiting power generation that causes harmful gas emissions has fostered the development of hybrid microgrids that consist of renewable energy sources of both the AC and the DC type. To make such microgrids exploitable the related control, stabilization and synchronization problems have to be treated. The chapter proposes a nonlinear optimal control method for a hybrid residential microgrid which comprises (i) a wind micro-turbine connected to a synchronous reluctance generator and a link to a DC bus through an AC/DC converter, (ii) a PEM fuel cells power unit which is connected to the same DC bus through a DC/DC converter, and (iii) a photovoltaic power unit which is connected to the DC bus again through a DC/DC converter. To implement the proposed nonlinear optimal control method, the dynamic model of the residential microgrid undergoes linearization through first-order Taylor-series expansion around a temporary operating point which is updated at each sampling instance. At a next stage, a stabilizing H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_\infty $$\end{document} feedback controller is designed for the linearized state-space model of the system. To select the feedback gains of this controller an algebraic Riccati equation has to be solved at each time-step of the control algorithm. The global stability properties of the control scheme are proven through Lyapunov analysis. Finally, the differential flatness properties of the residential microgrid are proven, thus confirming the system’s controllability and allowing to solve the setpoints definition problem for this system. The nonlinear optimal control method achieves fast and accurate tracking of reference setpoints by the state variables of the residential microgrid, under moderate variations of the control inputs.
Nonlinear Optimal Control for Residential Microgrids with Wind Generators, Fuel Cells and PVs
Studies in Systems, Decision and Control
12.08.2023
44 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Global stability , Nonlinear H<inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>∞</mi></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\infty $$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> control , PEM fuel cells , Hybrid microgrids , Taylor series expansion , Wind power generators , Jacobian matrices , DC/DC converter , Photovoltaics , Riccati equation , Residential microgrids , Differential flatness properties , AC/DC converter Complex Systems , Control, Robotics, Mechatronics , Computational Intelligence , Mathematical Modeling and Industrial Mathematics , Complexity , Engineering
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