Description of dynamical properties of magnetisation using dedicated delayed functions

Abstract We propose a new approach to calculate the evolution of the induction B ( t ) in dynamically magnetized soft conducting magnetic samples. This method does not imply any assumption about the magnetization mechanisms. The quasi-static curve μ ( H m ) ( H m =maximum H and μ =average static permeability) and a set of cyclic characterizations at different frequencies f provide the basic information which allows the prediction of the response B ar ( t ) to an arbitrary monotonous—or cyclic—waveform H a ( t ). We firstly theoretically establish the validity of the method considering a sample of thickness e and conductivity σ , obeying the classical diffusion equation, excited with a Heaveside field. The method is then applied to a real iron–vobalt sample.