Calculating the external magnetic field from permanent magnets in permanent-magnet motors - An alternative method

IEEE Transactions on Magnetics

Volumn 40, Issue 5, 2004, Pages 3278-3285

  Selvaggi, Jerry P ^a   Salon, Sheppard ^a   Kwon, O Mun ^a   Chari, M V K ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Charge simulation; Charge surface; Legendre function; Potential surface; Q functions; Toroidal function

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ELECTRIC CHARGE; GEOMETRY; GREEN'S FUNCTION; MAGNETIC FIELD EFFECTS; PARAMETER ESTIMATION;

CHARGE SIMULATION; CHARGE SURFACE; LEGENDRE FUNCTION; POTENTIAL SURFACE; Q FUNCTIONS; TOROIDAL FUNCTION;

PERMANENT MAGNETS;

EID: 4644368793     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2004.831653     Document Type: Article

References (21)

1. M. A. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions - 9th Printing. New York: Dover, 1972.
2. T. MacRobert, Spherical Harmonics. New York: Pergamon, 1967.
3. P. M. Morse and H. Feshbach, Methods of Theoretical Physics. New York: McGraw-Hill, 1953.
4. C. Snow, "Formulas for computing capacitance and inductance, " National Bureau of Standards Circular 544, Sept. 1, 1954.
5. _, "Hypergeometric and Legendre functions with applications to integral equations of potential theory, " U.S. Dept. Commerce, National Bureau Of Standards Applied Mathematics Series 19, May 1, 1952.
6. O. Kwon, C. Surussavadee, M. V. K. Chari, S. Salon, and K. Sivasubramaniam, "Analysis of the far field permanent-magnet motors and study of effects of geometric asymmetries and unbalance in magnet design, " IEEE Trans. Magn., vol. 40, pp. 435-442, Mar. 2004.
7. A. J. Schwab, Field Theory Concepts. New York: Springer-Verlag, 1988.
8. J. D. Jackson, Classical Electrodynamics, 3rd ed. New York: Wiley, 1999.
9. W. R. Smythe, Static and Dynamic Electricity, 3rd ed. New York: McGraw-Hill, 1968.
10. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. New York: Academic, 1980.
11. E. Heine, Handbuch der Kugelfunctionen-Theorie und Anwendungen: Druck und Verlag von G. Reimer, 1881.
12. A Treatise on the Theory of Bessel Functions. Cambridge, U.K.: Cambridge Univ. Press, 1944.
13. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics. New York: Chelsea, 1965.
14. N. N. Lebedev, Special Functions and Their Applications. Englewood Cliffs, NJ: Prentice-Hall, 1965.
15. C. Snow, "Potential problems and capacitance for a conductor bounded by two intersecting spheres, " U.S. Department of Commerce NBS, Research Paper RP2032, vol. 43, Oct. 1949.
16. H. Bateman, Partial Differential Equations of Mathematical Physics. New York: Dover, 1944, pp. 461-475.
17. P. Moon and D. E. Spencer, Field Theory Handbook, 2nd ed. New York: Springer-Verlag, 1971.
18. W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics. New York: Chelsea, 1949.
19. E. D. Rainville, Special Functions. New York: Macmillan, 1960.
20. Z. X. Wang and D. R. Guo, Special Functions. Singapore: World Scientific, 1989.
21. E. T. Whittaker and G. N. Watson, A Course of Modem Analysis, 4th ed. Cambridge, U.K.: Cambridge Univ. Press, 1952.