MODELING OF THE NORMAL MAGNETIZATION CURVE OF FERROMAGNETIC

Аннотация

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.