High-Order Frequency Derivatives in Variational Eddy Current System

In a linear eddy current system excited by a current source, a high-order frequency sensitivity is derived in variational formulation instead of as a discretized state equation. An analytic sensitivity formulation of order <inline-formula> <tex-math notation="LaTeX">{n} </te...

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Bibliographic Details
Published inIEEE transactions on magnetics Vol. 57; no. 6; pp. 1 - 4
Main Authors Rho, Seung-Eun, Hong, Seung-Geon, Park, Il Han
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Current density
Current source
Current sources
Eddy currents
Equations of state
Finite element analysis
Finite element method
finite element method (FEM)
Frequency analysis
high-order frequency sensitivity
Magnetism
Mathematical analysis
Mathematical model
Sensitivity analysis
Steady-state
Time-domain analysis
variational formulation
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Summary:In a linear eddy current system excited by a current source, a high-order frequency sensitivity is derived in variational formulation instead of as a discretized state equation. An analytic sensitivity formulation of order <inline-formula> <tex-math notation="LaTeX">{n} </tex-math></inline-formula> is obtained by sequentially differentiating the variational eddy current system with respect to angular frequency. The high-order frequency sensitivity is implemented through a commercial finite element method. A frequency sensitivity analysis conducted based on two numerical examples verifies the results.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2021.3064813