SynopsisThe problem discussed relates to the calculation of electromagnetic travelling fields in electrical machines. The idealised structure considered comprises a number of laminar regions of infinite extent in the plane of lamination and of arbitrary thickness. Some or all of these regions may be conducting and/or ferromagnetic with constant permeability. The travelling field is produced by an applied current sheet at the interface between two layers, distributed sinusoidally along the plane of lamination and flowing normally to the direction of motion. A convenient reformulation of existing theory is suggested which simplifies calculation. The normal limitations imposed by the amount of algebraic manipulation involved are removed by the use of a transfer matrix. This provides the facility to introduce numerical values directly into the matrix formulation.List of symbols B =• magnetic-flux density, T / = frequency, Hz F r = force/m 2 in z direction, N/m 2 F L = levitation force, N/m 2 F, -force/m 2 tangential to surface, N/m 2 J' = line-current density, A/m J x = current density in x direction, A/m 2 k = 2TT/A P = power/m 2 , W/m 2 s n = slip in region n S n = thickness of region n, m x, y, z -Cartesian co-ordinates A = wavelength of applied field, m p n = resistivity of region n, Qm permeability of region n -angular velocity of field in region ñ -denotes conjugate part
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.