Magnetisation of isotropic and ferromagnetic conducting media

The main object of the paper is to present a new method for the exact and complete solution of the field-distribution problem of a.c. magnetisation of saturated ferromagnetic media, with or without hysteresis. The technique of `continuous time-discrete space equations¿ has been applied. The waveforms of the flux density in different layers and of the boundary field, for magnetisation with total sinusoidal flux of thin iron laminations, are shown. The method may be extended to the magnetisation of cylindrical iron conductors with circular sections or to a ferromagnetic halfspace. The method has been applied first to the a.c. magnetisation of linear isotropic conducting media. The `continuous time-discrete space-equations¿ technique applied in that case allows us to write, as a function of the contour form, the analytical equations which give the field distribution for any cylindrical conductor. Relations giving the flux-density distribution in thin laminations and in bars with flat rectangular sections are established.