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A generalized method for Lagrangian modeling of power conversion circuit with integrated magnetic components
Author(s) -
Umetani Kazuhiro
Publication year - 2012
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.21816
Subject(s) - lagrangian , transformer , inductor , component (thermodynamics) , equivalent circuit , computer science , electronic engineering , topology (electrical circuits) , engineering , electrical engineering , mathematics , physics , voltage , thermodynamics
A generalized Lagrangian is proposed to enable systematic analysis of integrated magnetic components. Although a few conventional theories are known that handle magnetic circuit, they cause difficulties in modeling or analysis, especially when applied to a highly integrated core. These difficulties are avoided in the proposed theory, as its Lagrangian is configurable directly from the physical core structure. As an example, the Lagrangian of the trans‐linked three‐phase boost converter is presented. Along with the Lagrangian, two types of circuit analysis are also presented: one is to obtain the state‐space model of the converter; the other is to translate the integrated magnetic component into an equivalent circuit of basic components such as transformers and inductors. The analyses show the usefulness of the proposed method in practical applications. © 2012 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.