Evaluation of the Lagrangian method for deriving equivalent circuits of integrated magnetic components: A case study using the integrated winding coupled inductor

Kazuhiro Umetani, Seikoh Arimura, Tetsuo Hirano, Jun Imaoka, Masayoshi Yamamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

Recently Lagrangian dynamics has been applied to transforming integrated magnetic components into equivalent circuits of basic magnetic components such as transformers and inductors. Although the method is beneficial in simple and systematic derivation in many cases, it sometimes leads to different circuits from those by conventional methods. Hence, the Lagrangian method needs equivalence evaluation of transformation. As a case study, this paper derives equivalent circuits of the integrated winding coupled inductor using the Lagrangian method and a conventional method. The equivalent circuits are investigated to verify their consistency with magnetic circuit model and experimental behavior. As a result, the Lagrangian method yields a simpler circuit than that by the conventional method. Nonetheless, both circuits are found functionally equivalent to the magnetic circuit model and consistent with the experiment. The result suggests that the Lagrangian method provides proper transformation and is useful for deriving simple equivalent circuits.

Original languageEnglish
Title of host publication2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013
Pages495-502
Number of pages8
DOIs
Publication statusPublished - 2013
Event5th Annual IEEE Energy Conversion Congress and Exhibition, ECCE 2013 - Denver, CO, United States
Duration: Sep 15 2013Sep 19 2013

Publication series

Name2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013

Other

Other5th Annual IEEE Energy Conversion Congress and Exhibition, ECCE 2013
CountryUnited States
CityDenver, CO
Period9/15/139/19/13

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Fuel Technology

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    Umetani, K., Arimura, S., Hirano, T., Imaoka, J., & Yamamoto, M. (2013). Evaluation of the Lagrangian method for deriving equivalent circuits of integrated magnetic components: A case study using the integrated winding coupled inductor. In 2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013 (pp. 495-502). [6646742] (2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013). https://doi.org/10.1109/ECCE.2013.6646742