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Hybrid control of a multicellular converter
Institution:1. (ECS), ENSEA, 6, avenue du Ponceau, 95014, Cergy Cedex, France;2. Universidad Autonoma de Nuevo Leon, Fac. Ingenieria Mecanica y Electrical, Apat. Postal 148-F, San Nicolas de los Garza, Nuevo Leon, Mexico;1. Department of mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia;2. SISSA – International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy;1. PO Box 751, Portland State University, Portland, OR 97207-0751, United States;2. Department of Mathematics, University of Delaware, Newark, DE, United States;1. Dipartimento di Ingegneria Civile e Architettura (DICAr), Università degli Studi di Pavia, Via Ferrata 1, 27100, Pavia, Italy;2. Centro di Simulazione Numerica Avanzata (CESNA-IUSS), Pavia, Italy;3. Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI-CNR), Pavia, Italy;1. Department of Mathematics, Virginia Tech, United States of America;2. Department of Mathematics, Tulane University, United States of America;3. Advanced Research Computing, Virginia Tech, United States of America;1. Mesoamerican Centre for Theoretical Physics and Universidad Autónoma de Chiapas, Ciudad Universitaria Carretera Emiliano Zapata Km. 4, 29050, Tuxtla Gutiérrez, Chiapas, Mexico;2. ITPA, Universität Würzburg, Campus Hubland Nord, Emil-Fischer-Str. 31 D-97074 Würzburg, Germany;3. Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland
Abstract:In this paper a new switching scheme for modelling multicellular converters is proposed. We consider a converter with two cells which is represented as a hybrid system with four modes of operation. The operation modes of the system are governed by the adjustable reference voltage and a reference current, which are calculated by means of an energy balance principle. This study is justified by the hybrid behavior of the system considered, i.e., it presents discrete and continuous variables which represent the state of the switches and the evolution of the current and the terminal voltage of the floating condensers, respectively. The synthesis of the control is based on the determination of the switching sequences, ensuring the stability and the integrity of the switches.
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