AN EXTENDED DESCRIPTION OF THE BEHAVIOR OF STEEL SHEET UNDER ROTATIONAL FLUX CONDITIONS

The behaviour of steel sheet under the condition of pure rotational fl ux is described by the permeability tensor, which is the product of th e phase difference matrix alpha and the anisotropy matrix mu. The matr ix cu considers the phase difference between the flux density B and th e magnetic field strength H. The physical meaning of the matrix mu is the magnetic anisotropy of a steel sheet due to rolling processes and grain orientation. The fundamental harmonics of B and H are linked to the permeability tensor as follows: B = alpha mu H. The components of this tensor are obtained from measurements under rotational flux condi tions, using the time dependent signals of two orthogonal induction co ils wound around the sheet which pick up the magnetic flux, and two Ro gowski-Chattock coils which measure the magnetic field strength on the surface of the sheet. The deviation of the texture axis of the steel sheet from the measuring direction and the angle of mismatch of the fi eld sensors is described by the nondiagonal elements of the tensor.