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 {n} is obtained by sequentially differentiating the variational eddy curren...

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Veröffentlicht in:	IEEE transactions on magnetics 2021-06, Vol.57 (6), p.1-4
Hauptverfasser:	Rho, Seung-Eun, Hong, Seung-Geon, Park, Il Han
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Beschreibung
Zusammenfassung:	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 {n} 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