Force calculation in 3-D magnetic equivalent circuit networks with a Maxwell stress tensor

IEEE Transactions on Energy Conversion

Volumn 24, Issue 3, 2009, Pages 587-593

  Amrhein, Marco ^a,b   Krein, Philip T ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b PC Krause and Associates Inc   (United States)

Author keywords

3 D magnetic equivalent circuits (MECs); Electromagnet; Force calculation; Maxwell stress tensor (MST); Modeling of electromechanical devices; Virtual work method (VWM)

Indexed keywords

3-D MAGNETIC EQUIVALENT CIRCUITS (MECS); FORCE CALCULATION; MAXWELL STRESS TENSOR (MST); MODELING OF ELECTROMECHANICAL DEVICES; VIRTUAL WORK METHOD (VWM);

ELECTRIC MACHINERY; ELECTRIC NETWORK ANALYSIS; ELECTRODYNAMICS; ELECTROMAGNETS; ELECTROMECHANICAL DEVICES; MACHINE DESIGN; MAXWELL EQUATIONS; REVERBERATION; TENSORS; THREE DIMENSIONAL;

EQUIVALENT CIRCUITS;

EID: 70049090741     PISSN: 08858969     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEC.2009.2016142     Document Type: Article

References (23)

1. T. A. Lipo, "Novel reluctance machine concepts for variable speed drives," in Proc. 6th Mediterranean Electrotechnol. Conf., 1991, pp. 34-43.
2. C. G. Veinott, Theory and Design of Small Induction Motors. New York: McGraw-Hill, 1959.
3. P. L. Alger, Induction Machines, Their Behavior and Uses. New York: Gordon and Breach, 1970.
4. T. A. Lipo, Introduction to AC Machine Design, vol. 1. Madison, WI: Power Electronics Research Center, University of Wisconsin, 1996.
5. T. W. Preston and J. P. Sturgess, "Implementation of the finite-element method into machine design procedures," in Proc. Int. Conf. Electr. Mach. Drives, 1993, pp. 312-317.
6. V. Ostović, Dynamics of Saturated Electric Machines. New York: Springer-Verlag, 1989.
7. J. Perho and E. Ritchie, "Analysis of a permanent magnet machine using reluctance network," in Proc. Int. Conf. Electr. Mach. (ICEM), 1996, pp. 44-48.
8. C. B. Rasmussen and E. Ritchie, "A magnetic equivalent circuit approach for predicting PM motor performance," in Proc. Rec. IEEE Ind. Appl. Soc. Ann. Meeting, 1997, pp. 10-17.
9. P. Sewell, K. J. Bradley, J. C. Clare, P. W. Wheeler, A. Ferrah, and R. Magill, "Efficient dynamic models for induction machines," Int. J. Numer. Model., vol. 12, pp. 449-464, 1999.
10. H. Meshgin-Kelk, J. Milimonfared, and H. A. Toliyat, "A comprehensive method for the calculation of inductance coefficients of cage induction machines," IEEE Trans. Energy Convers., vol. 18, no. 2, pp. 187-193, Jun. 2003.
11. A. C. Koenig, J. M. Williams, and S. D. Pekarek, "Application of evolutionary programming to optimize the rotor pole geometry of a wound rotor synchronous machine," in Proc. IEEE Power Eng. Soc. General Meeting, 2004, pp. 1968-1971.
12. S. D. Sudhoff, B. T. Kuhn, K. A. Corzine, and B. T. Branecky, "Magnetic equivalent circuit modeling of induction motors," IEEE Trans. Energy Convers., vol. 22, no. 2, pp. 259-270, Jun. 2007.
13. J. D. Law, T. J. Busch, and T. A. Lipo, "Magnetic circuit modelling of the field regulated reluctance machine. Part I: Model development," IEEE Trans. Energy Convers., vol. 11, no. 1, pp. 49-55, Mar. 1996.
14. M. Amrhein, "Induction machine performance improvements - Design-oriented approaches," Ph.D. dissertation, Dept. Electr. Comput. Eng., Univ. Illinois at Urbana-Champaign, 2007.
15. M. Amrhein and P. T. Krein, "Magnetic equivalent circuit simulations of electrical machines for design purposes," in Proc. IEEE Electr. Ship Technol. Symp., 2007, pp. 254-260.
16. M. Amrhein and P. T. Krein, "Magnetic equivalent circuit modeling of induction machines - Design-oriented approach with extension to 3-D," in Proc. IEEE Int. Electr. Mach. Drives Conf., 2007, pp. 1557-1563.
17. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992.
18. M. Amrhein and P. T. Krein, "Three-dimensional magnetic equivalent circuit framework for modeling electromechanical devices," IEEE Trans. Energy Convers., vol. 24, no. 2, 2009. DOI: 10.1109/ TEC.2009.2016134.
19. S. J. Salon, Finite Element Analysis of Electrical Machines. Norwell, MA: Kluwer, 1995.
20. Z. Ren, "Comparison of different force calculation methods in 3D finite element modelling," IEEE Trans. Magn., vol. 30, no. 5, pp. 3471-3474, Sep. 1994.
21. A. Benhama, A. C. Williamson, and A. B. J. Reece, "Force and torque computation from 2-D and 3-D finite element field solutions," Proc. IEE, Electr. Power Appl., vol. 146, no. 1, pp. 25-31, Jan. 1999.
22. Ferroxcube. (2004). 3C90 material specification [Online]. Available: http://www.ferroxcube.com/prod/assets/3c90.pdf
23. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 3rd ed. Cambridge, U.K.: Cambridge Univ. Press, 1996.