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

IEEE Transactions on Magnetics

Volumn 33, Issue 1 PART 2, 1997, Pages 686-691

  Mohammed, Ismail A ^a   Al Hashemy, Bakir A R ^a   Tawfik, Mohammed A ^a  

^a UNIVERSITY OF BAGHDAD   (Iraq)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CURVE FITTING; DISTORTION (WAVES); WAVEFORM ANALYSIS;

CUMULATIVE ANGULAR FUNCTION; FOURIER DESCRIPTOR TECHNIQUE; FOURIER SERIES APPROXIMATION;

MAGNETIC HYSTERESIS;

EID: 0030672149     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.560098     Document Type: Article

References (15)

1. G. F. T. Widger, "Representation of magnetization curves over extensive range by rational-fraction approximations," Proc. IEE, vol. 16, pp. 156-166,Jan. 1969.
2. J. Rivas et al., "Simple approximation for magnetization curves and hysteresis loops," IEEE Trans. Magn., vol. MAG-17, pp. 1498-1502, July 1981.
3. M. K. Al-Sherbiny, "Representation of the magnetization characteristics by a sum of exponentials," IEEE Trans. Magn., vol. MAG-9, pp. 60-61, Mar. 1973.
4. J. W. Teape et al., "Representation of magnetic characteristics, including hysteresis, by exponential series," Proc. IEE, vol. 121, no. 9, pp. 1019-1020, 1974.
5. J. R. Brauer, "Simple equations for the magnetization and reductivity curves of steel," IEEE Trans. Magn., vol. MAG-11, p. 81, Jan.1975.
6. J. H. Hwang and W. Lord, "Exponential series for B-H curve modeling," Proc. IEE, vol. 123, pp. 559-560, June 1976.
7. M. Lal and E. More, "An iterative technique for fitting exponentials," Int. J. Numerical Methods in Eng., vol. 10, pp. 979-990,1976.
8. C. T. Zahn and R. Z. Roskies, "Fourier descriptors for plane closed curves," IEEE Trans. Compul., vol. C-21, pp. 269-281, Mar. 1972.
9. E. Persoon and K. S. Pu, "Shape discrimination using Fourier descriptors," IEEE Trans. Syst.. Man, Cybern., vol. SMC-7, no. 3, pp. 170-179, 1977.
10. S. S. UdpaandW. Lord, "A Fourier descriptors classification scheme for differential probe signals," Mater. Evaluation, vol. 42, pp. 1136-1141, Aug. 1984.
11. R. A. Newbury, "Prediction of magnetization hysteresis loops for distorted waveforms." IEE Elee. Power Appl., vol. 2, no. 2, pp. 46-50, Apr. 1979.
12. W. A. Geyger, Non-linear-Magnetic Control Devices. New York: McGraw-Hill, 1964.
13. G. H. Granlund, "Fourier preprocessing for hand-print character recognition," IEEE Trans. Compul., vol. C-21, pp. 195-201, Feb. 172.
14. S. S. Udpa and W. Lord, "A Fourier descriptors model of hysteresis loop phenomena," IEEE Trans. Magn., vol. MAG-21, pp. 2370-2373, Nov. 1985.
15. Kawasaki Steel Corp., Kawasaki RM CORE Non-Oriented Electrical Steel Strip, catalog.