A theory of electromagnetic induction in layered media: Linear motor modeling
Author:
I. C. Rae
Journal:
Quart. Appl. Math. 40 (1983), 395-405
DOI:
https://doi.org/10.1090/qam/99621
MathSciNet review:
QAM99621
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: A general theory of electromagnetic induction is developed based on the superposition of electric current filaments. The theory has applications in both geophysical and engineering problems where current sources are used to induce electromagnetic fields in plane layered media. As an example, three-dimensional integral formulae are derived for the source and induced fields of a linear induction motor configuration.
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I. C. Rae, Some theoretical problems related to flows induced in liquid metals by linear motors, Ph.D. thesis, Univ. of Keele, England, 1978
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Y. Sundberg, Magnetic traveling fields for metallurgic purposes, IEEE Spectrum (5) 6, 79–88 (1969)
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- A. N. Gordon, Electromagnetic induction in a uniform semi-infinite conductor, Quart. J. Mech. Appl. Math. 4 (1951), 116–128. MR 42340, DOI https://doi.org/10.1093/qjmam/4.1.116
L. Cagniard, Basic theory of the magneto-telluric method of geophysical prospecting, Geophysics 18, 605–635 (1953)
J. T. Weaver, The general theory of electromagnetic induction in a conducting half space, Geophys. J. R. Astr. Soc. 22, 83–100 (1970)
P. C. Clemmow and J. P. Dougherty, Electrodynamics of particles and plasmas, Addison-Wesley 1969
J. T. Weaver and D. J. Thompson, The field induced in a two-layer conductor by a magnetic dipole, Can. J. Physics 48, 71–79 (1970)
- James R. Wait, The magnetic dipole over the horizontally stratified earth, Canadian J. Physics 29 (1951), 577–592. MR 45596
I. C. Rae, On the flow induced in liquid metals by a linear induction motor, App. Sci. Res. 39, 71–81 (1982)
L. A. B. Pilkington, The float glass process, Proc. Roy. Soc. Lond. (A) 314, 1–25 (1969)
K. Oberretl, Dreidimensionale Berechnung des linear Motors mit Berucksichtigung der Endefekte und der Wicklungoverteilung, Arch, fur Elect. 55, 181–190 (1973)
O. A. Gerasev, Yu. I. Koskin and L. A. Tseitlin, A three-dimensional model of a linear synchronous motor (theory and calculation), Izv. Akad. Nank. SSSR. Energ. Transport (2) 17, 49–60 (1979)
E. R. Laithwaite, Induction machines for special purposes, Newnes, 1966
I. C. Rae, Some theoretical problems related to flows induced in liquid metals by linear motors, Ph.D. thesis, Univ. of Keele, England, 1978
F. R. Block, Electromagnetic runners and pumps, ECSC Tech. Res. Rep. EUR 5082 d.e.f., 1973
M. G. Rezin, Advances in electromagnetic stirring of liquid metals, Magnitaya Gidrodynamika (2) 1, 130–138 (1965)
Y. Sundberg, Magnetic traveling fields for metallurgic purposes, IEEE Spectrum (5) 6, 79–88 (1969)
L. R. Blake, Conduction and induction pumps for liquid metals, Proc. IEE (A) 4, 49–63 (1956)
V. C. A. Ferraro, Electromagnetic theory, Athlone, 1954
A. T. Price, Electromagnetic induction in a semi-infinite conductor with a plane boundary, Q. J. Mech. Appl. Math. 3, 385–410 (1950)
A. N. Gordon, The field induced by an oscillating magnetic dipole outside a semi-infinite conductor, Q. J. Mech. Appl. Math. 4, 106–115 (1951)
A. N. Gordon, Electromagnetic induction in a uniform semi-infinite conductor, Q. J. Mech. Appl. Math. 4, 116–128 (1951)
L. Cagniard, Basic theory of the magneto-telluric method of geophysical prospecting, Geophysics 18, 605–635 (1953)
J. T. Weaver, The general theory of electromagnetic induction in a conducting half space, Geophys. J. R. Astr. Soc. 22, 83–100 (1970)
P. C. Clemmow and J. P. Dougherty, Electrodynamics of particles and plasmas, Addison-Wesley 1969
J. T. Weaver and D. J. Thompson, The field induced in a two-layer conductor by a magnetic dipole, Can. J. Physics 48, 71–79 (1970)
J. R. Wait, The magnetic dipole over the horizontally stratified earth, Can. J. Physics 29, 577–592 (1951)
I. C. Rae, On the flow induced in liquid metals by a linear induction motor, App. Sci. Res. 39, 71–81 (1982)
L. A. B. Pilkington, The float glass process, Proc. Roy. Soc. Lond. (A) 314, 1–25 (1969)
K. Oberretl, Dreidimensionale Berechnung des linear Motors mit Berucksichtigung der Endefekte und der Wicklungoverteilung, Arch, fur Elect. 55, 181–190 (1973)
O. A. Gerasev, Yu. I. Koskin and L. A. Tseitlin, A three-dimensional model of a linear synchronous motor (theory and calculation), Izv. Akad. Nank. SSSR. Energ. Transport (2) 17, 49–60 (1979)
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Article copyright:
© Copyright 1983
American Mathematical Society
