MODELING OF THE NORMAL MAGNETIZATION CURVE OF FERROMAGNETIC

The normal magnetization curve is used in technical calculations of magnetic circuits when it is required to investigate (to model) nonlinear inductive elements. Modeling of the normal magnetization curve by the use of an analytical function allows describing with a high precision a real magnetization curve along all characteristic sections and defining the magnetization curve by the continuous function. This procedure allows avoiding breaks and discontinuities of the extreme dependences obtained as a result of differentiation. There are a lot of ways of approximating the table function by the analytical function which with a particular degree of accuracy models an initial function at the given points. Modeling of the normal magnetization curve of the ferromagnetic is done by using the arctangent function for approximation of the curve and the Matlab software. The arctangent function is chosen because this function and its derivative are easily calculated and also because this function describes the normal magnetization curve with an adequate accuracy. There are also the experimental data of magnetic field induction dependence on magnetizing field intensity and the approximating magnetization curve. The obtained diagrams show that the table function is approximated by the analytical function of arctangent which with a sufficient accuracy models the table function at the given points.