High-order frequency sensitivity for nonsinusoidal steady state analysis in linear magnetodynamics

Il Han Park; Myung Jun Choi; Se Hee Lee; Sangdo-dong

doi:10.1109/20.717589

High-order frequency sensitivity for nonsinusoidal steady state analysis in linear magnetodynamics

Il Han Park
, Myung Jun Choi
, Se Hee Lee
, Sangdo-dong

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with timestepping finite element method, which requires much time to reach a steady state. The sensitivity analysis which have been used for the shape design is employed for an efficient analysis of linear magnetodynamics with nonsinusoidal driving sources. The high-order frequency sensitivity from the time-harmonic finite element formulation is used along with Fourier transform and Taylor series expansion. The algorithm is validated through two numerical examples of a single-phase transformer and an induction heating system driven by a trapezoidal voltage source.

Original language	English
Pages (from-to)	2555-2558
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	34
Issue number	5 PART 1
DOIs	https://doi.org/10.1109/20.717589
State	Published - 1998

Keywords

Fourier transform
High-order frequency sensitivity
Linear magnetodynamics
Nonsinusoidal steady state analysis, timeharmonic fem
Taylor series

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10.1109/20.717589

Cite this

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title = "High-order frequency sensitivity for nonsinusoidal steady state analysis in linear magnetodynamics",

abstract = "A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with timestepping finite element method, which requires much time to reach a steady state. The sensitivity analysis which have been used for the shape design is employed for an efficient analysis of linear magnetodynamics with nonsinusoidal driving sources. The high-order frequency sensitivity from the time-harmonic finite element formulation is used along with Fourier transform and Taylor series expansion. The algorithm is validated through two numerical examples of a single-phase transformer and an induction heating system driven by a trapezoidal voltage source.",

keywords = "Fourier transform, High-order frequency sensitivity, Linear magnetodynamics, Nonsinusoidal steady state analysis, timeharmonic fem, Taylor series",

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AU - Park, Il Han

AU - Choi, Myung Jun

AU - Lee, Se Hee

AU - Sangdo-dong,

PY - 1998

Y1 - 1998

N2 - A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with timestepping finite element method, which requires much time to reach a steady state. The sensitivity analysis which have been used for the shape design is employed for an efficient analysis of linear magnetodynamics with nonsinusoidal driving sources. The high-order frequency sensitivity from the time-harmonic finite element formulation is used along with Fourier transform and Taylor series expansion. The algorithm is validated through two numerical examples of a single-phase transformer and an induction heating system driven by a trapezoidal voltage source.

AB - A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with timestepping finite element method, which requires much time to reach a steady state. The sensitivity analysis which have been used for the shape design is employed for an efficient analysis of linear magnetodynamics with nonsinusoidal driving sources. The high-order frequency sensitivity from the time-harmonic finite element formulation is used along with Fourier transform and Taylor series expansion. The algorithm is validated through two numerical examples of a single-phase transformer and an induction heating system driven by a trapezoidal voltage source.

KW - Fourier transform

KW - High-order frequency sensitivity

KW - Linear magnetodynamics

KW - Nonsinusoidal steady state analysis, timeharmonic fem

KW - Taylor series

UR - https://www.scopus.com/pages/publications/33747285055

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DO - 10.1109/20.717589

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SN - 0018-9464

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EP - 2558

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 5 PART 1

ER -

High-order frequency sensitivity for nonsinusoidal steady state analysis in linear magnetodynamics

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Keywords

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