We present analytic formulations for studying the energetic behavior of hysteretic magnetic materials. One formulation reduces the full nonlinear diffusion problem to a linear problem through an optimization procedure. A second formulation attempts to approximate the magnetic permeability tensor by a complete set of functions. By means of scalar product defined in the function space, we obtain a series of linear nonhomogeneous diffusion equations. We analyze for the vector case qualitatively and give solutions for a one-dimensional field configuration. For the scalar case, we investigate two different magnetic materials and, for simplicity, we approximate the relevant hysteresis cycles by a closed polygonal. A scalar Preisach model, numerically treated, is used as a benchmark.
A New Analytic Approach for Dealing with Hysteretic Materials
TELLINI, BERNARDO;
2005-01-01
Abstract
We present analytic formulations for studying the energetic behavior of hysteretic magnetic materials. One formulation reduces the full nonlinear diffusion problem to a linear problem through an optimization procedure. A second formulation attempts to approximate the magnetic permeability tensor by a complete set of functions. By means of scalar product defined in the function space, we obtain a series of linear nonhomogeneous diffusion equations. We analyze for the vector case qualitatively and give solutions for a one-dimensional field configuration. For the scalar case, we investigate two different magnetic materials and, for simplicity, we approximate the relevant hysteresis cycles by a closed polygonal. A scalar Preisach model, numerically treated, is used as a benchmark.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
