Modeling and Optimal Identification of Pseudodifferential Electrical Dynamics by Means of Diffusive Representation—Part I: Modeling

Autor: L. Laudebat, G. Montseny, Pierre Bidan
Přispěvatelé: LAboratoire PLasma et Conversion d'Energie (LAPLACE), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Laboratoire de génie électrique de Toulouse (LGET), Université de Toulouse (UT)-Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)
Rok vydání: 2004
Předmět:
Zdroj: IEEE Transactions on Circuits and Systems I: Regular Papers
IEEE Transactions on Circuits and Systems I: Regular Papers, IEEE, 2004, 51 (9), pp.1801-1813. ⟨10.1109/TCSI.2004.834501⟩
IEEE Transactions on Circuits and Systems I: Regular Papers, 2004, 51 (9), pp.1801-1813. ⟨10.1109/TCSI.2004.834501⟩
ISSN: 1057-7122
1549-8328
1558-0806
DOI: 10.1109/tcsi.2004.834501
Popis: International audience; We present the concept of "diffusive representation" and show how this notion can be used for modeling purposes in the field of electrical engineering, namely, when some nonrational dynamics are involved. We examine two significant cases of electrical components, the standard models of which reveal themselves to be insufficiently accurate in several situations: 1) capacitors with dielectric relaxations and 2) an inductor with iron core. According to the diffusive representation approach, such components are modeled by convenient state-space input-output formulations of diffusive nature, well adapted to both analysis and cheap numerical approximations. Concrete numerical examples and simulations in the time domain are given and commented.
Databáze: OpenAIRE