Ingo Schäfer and Klaus Krüger 2008 J. Phys. D: Appl. Phys. 41 045001 doi:10.1088/0022-3727/41/4/045001
Ingo Schäfer1 and Klaus Krüger2
Show affiliationsCoils exposed to eddy current and hysteresis losses are conventionally described by an inductance with equivalent core-loss resistance connected in parallel. The value of the equivalent core-loss resistance depends on the working frequency and the external wiring. Thus the model is less than satisfactory. The authors propose to describe loss inductance using fractional derivatives containing both a loss term and a storage term.
After introducing the theory of fractional derivatives, the operating mode of the fractional coil model is explained by the example of an RLC oscillating circuit. Subsequent measurements of a series resonant circuit with a lossy coil impressively confirm the theoretical model with regard to both the frequency and time domains.
41.20.Gz Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems
Issue 4 (21 February 2008)
Received 12 September 2007, in final form 13 December 2007
Published 28 January 2008
Ingo Schäfer and Klaus Krüger 2008 J. Phys. D: Appl. Phys. 41 045001
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