A Fourier descriptor model of hysteresis loops for sinusoidal and distorted waveforms

Mohammed, Ismail A.; Al-Hashemy, Bakir A. R.; Tawfik, M.A.

doi:10.1109/20.560098

Cited by 14 publications

(22 citation statements)

References 11 publications

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“…( 3) where is the number of wires of primary coil and is the path of integration within the nucleus; (4) where is the cross section of the nucleus.…”

Section: B Validation Versus Experimental Testsmentioning

confidence: 99%

“…The FD technique here utilized is based on the consideration that any closed loop can be represented as a mathematical function in the complex plane [4]. On the imaginary axis we can represent the flux density, while on the real one the magnetic field.…”

Section: Fourier Descriptor Technique Recallmentioning

confidence: 99%

“…in addition to the hysteresis static models [3]. The capability of the FD technique of forecasting hysteresis minor loops, when a distorted magnetic field excitation acts, has been proved by Mohammed et al [4] exploiting the knowledge of the major loop at the main frequency. The required a priori determination of the major loop at the main frequency, which grows with frequency [3], has been here approached by means of back-propagation NN's.…”

Section: Introductionmentioning

confidence: 97%

“…The required a priori determination of the major loop at the main frequency, which grows with frequency [3], has been here approached by means of back-propagation NN's. Neural Network is first used to predict the major loop at the main frequency and afterwards the FD model is applied, in canonical way, to obtain the minor loops as suggested in literature [4]- [6]. Manuscript .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Neural network and Fourier descriptor macromodeling dynamic hysteresis

Vecchio

Salvini

2000

IEEE Trans. Magn.

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For the evaluation of the dynamic hysteresis loops, a Neural Network (NN) combined with the Fourier Descriptor (FD) technique can be a simple computational instrument alternative to the classical approach. This method is suitable in those cases in which a distorted periodic magnetic field H, or flux density B, excites, in steady state, the ferromagnetic nucleus of a device. The dependence of the hysteresis loop from the magnetic field frequency, has been successfully evaluated by NN, while, by means of the Fourier Descriptor, the effects of the magnetic field distortion have been efficiently predicted. Numerical results compared with those from other models (i.e. Jiles model) and experimental data are presented in the end

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“…( 3) where is the number of wires of primary coil and is the path of integration within the nucleus; (4) where is the cross section of the nucleus.…”

Section: B Validation Versus Experimental Testsmentioning

confidence: 99%

Section: Fourier Descriptor Technique Recallmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Neural network and Fourier descriptor macromodeling dynamic hysteresis

Vecchio

Salvini

2000

IEEE Trans. Magn.

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“…Application of the Fourier transformation technique to magnetic hysteresis was proposed by several authors, as early as 1971 [5]. It was shown that the Fourier transform of the major hysteresis loop can be used to characterize magnetic materials [6][7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Previous Related Researchmentioning

confidence: 99%

Identification of Magnetic Materials By Discrete Fourier Analysis

Pardavi‐Horváth¹

2003

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Public Reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comment regarding this burden estimates or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and 43802-MS-II SUPPLEMENTARY NOTESThe views, opinions and/or findings contained in this report are those of the author(s) and should not be construed as an official Department of the Army position, policy or decision, unless so designated by other documentation. A novel approach, linking microstructural effects, magnetic measurements, and signal processing methods, was developed to analyze, identify and compare magnetic materials. The Discrete Fourier Transform (DFT) was applied to DC remanent magnetization curves (RHL) and to Switching Field Distribution (SFD). It was shown analytically how the a n , b n Fourier coefficients depend on the width of SFD, on the coercivity, and on the highest applied field. The field and the coercivity dependences can be separated by using complex Fourier coefficients.The effects of magnetic and sampling parameters on the DFT were numerically simulated. Based on the results of the analytical and numerical study, a measurement and DFT protocol was developed to analyze magnetic materials. The sensitivity of DFT to magnetic markers was investigated numerically, by varying the matrix/marker ratio and the relative coercivities. The measurement and FFT protocol was applied to commercial magnetic media (DELTACARD, METROCARD) and Fe-Zn nanocomposites.The results are submitted to two international conferences. Participation in this complex research gave a significant contribution to the education of two graduate and one undergraduate students.. Motivation and objectivesMagnetic materials are extensively used in high technology, first of all, in information storage on tapes, disks, and magnetooptical media. Magnetic markers are used for fraud and theft prevention, identification, as in security tags, bank checks, and as currency markers. Most of the applications are based on particulate magnetic materials. For example, in traditional recording media, credit cards, key cards, or as thin film recording media with decoupled grains. Magnetic nanocomposites of small magnetic particles, embedded in a nonmagnetic matrix, are in focus of investigations for application in high density recording, pigments, absorbing microwave coatings, ferrofluids, magnetic refrigeration, etc.Depending on the actual application, different range of particle size (multidomain, single-domain, superparamagnetic) is preferred. Some application requires high size uniformity (narrow linewidth in microwave materials, broad linewidth in EM...

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