Computer-aided steady-state and transient solutions of field problems in induction devices

The paper describes a method for solving steady-state and transient electromagnetic-field problems in certain multi-region induction devices, which uses only a very small amount of analysis. In general, the device is modelled by means of a nonuniform transmission line consisting of a large number of T-circuits in cascade. Circuit-analysis computer packages can be used to solve for the circuit quantities, and hence the field quantities, at all nodes in the line. Neither higher transcendental functions nor operational methods are required.

[1]  V. G. Welsby.  Electromagnetic fields in a ferromagnetic medium, with particular reference to harmonic distortion due to hysteresis , 1958 .

[2]  V. Chura.  Eddy-current transients , 1976 .

[3]  Yü-hsiu Ku.  Transient Circuit Analysis , 1961 .

[4]  D. Vitkovitch,et al.  Field Analysis: Experimental and Computational Methods , 1966 .

[5]  N. Mclachlan.  Bessel functions for engineers , 1934 .

[6]  E. M. Freeman,et al.  Wave impedance of induction devices using the scalar Riccati equation , 1976 .

[7]  G. J. Rogers,et al.  Use of equivalent fields in electrical-machine studies , 1974 .

[8]  A. L. Cullen,et al.  A simplified electromagnetic theory of the induction motor, using the concept of wave impedance , 1958 .

[9]  T. G. Bland,et al.  Equivalent circuit of concentric cylindrical conductors in an axial alternating magnetic field , 1976 .

[10]  D O'Kelly.  Losses in cylindrical ferromagnetic cores including hysteresis and eddy-current effects , 1975 .

[11]  G. Temple.  Static and Dynamic Electricity , 1940, Nature.

[12]  E. M. Freeman,et al.  Equivalent circuits from electromagnetic theory low-frequency induction devices , 1974 .

[13]  C. J. Carpenter,et al.  Three-dimensional numerical solution of eddy currents in thin plates , 1975 .

[14]  E. M. Freeman,et al.  Surface-impedance method applied to multilayer cylindrical induction devices with circumferential exciting currents , 1970 .

[15]  L. M. Vallese,et al.  Diffusion of Pulsed Currents in Conductors , 1954 .

[16]  P. Bharali,et al.  Operational impedances of turbogenerators with solid rotors , 1964 .

[17]  Boris G. Kazansky.  Outline of a theory of non-uniform transmission lines , 1958 .

[18]  J. Coulomb,et al.  MODAL NETWORK REPRESENTATION OF SLOT-EMBEDDED CONDUCTORS , 1977 .

[19]  G. Kron,et al.  Equivalent Circuit of the Field Equations of Maxwell-I , 1944, Proceedings of the IRE.

[20]  K. W. Miller.  Diffusion of Electric Current Into Rods, Tubes, and Flat Surfaces , 1947, Transactions of the American Institute of Electrical Engineers.

[21]  R. Harrington.  Time-Harmonic Electromagnetic Fields , 1961 .

[22]  R. L. Stoll.  The analysis of eddy currents , 1974 .

[23]  R. Oppermann,et al.  Complex variable and operational calculus with technical applications: by N. W. McLachlan. 355 pages, illustrations, 15 × 22 cms.New York, The Macmillan Company, 1939.Price $6.50 , 1939 .

[24]  L. V. Bewley,et al.  Traveling Waves on Transmission Systems , 1931, Transactions of the American Institute of Electrical Engineers.

[25]  Alex Grumet.  Penetration of Transient Electromagnetic Fields into a Conductor , 1959 .

[26]  S. Ramo,et al.  Fields and Waves in Communication Electronics , 1966 .

[27]  Alfred Herzenberg,et al.  Theory of functions : as applied to engineering problems , 1934 .

[28]  B. Beland,et al.  A New Transmission Line Representation of Eddy-Current Problems in Cylinders , 1971 .

[29]  S. Ramo,et al.  A New Approach to the Solution of High-Frequency Field Problems , 1944, Proceedings of the IRE.