The computation of the dynamic inductance of magnet systems and force distribution in ferromagnetic region on the basis of 3-D numerical simulation of magnetic field

Static and dynamic inductances are ones of the main technical parameters of magnet systems at the designing stage. Ponderomotive force distribution is required for mechanical stress calculations. The static inductance is used for evaluations of the stored energy, magnetic flux linkage in coils at instantaneous currents. The dynamic inductance allows to define the interrelation between the instantaneous flux linkage and currents determining a transient process in coils. In the given paper a technique for determination of the dynamic inductance for magnet systems on the assumption of no eddy currents in ferromagnetic elements of a construction is proposed. This technique necessitates the evaluation of magnetic energy at two rather close values of current in a coil on the magnetization curve, i.e. static parameters of a magnet system are applied for the determination of the dynamic inductance. As, at present, magnet systems are more frequently designed on the basis of a magnetic field distribution analysis, obtained as a result of numerical simulation, the calculation of magnet energy involves no difficulties. Algorithmic aspects of numerical simulation of specific and surface ponderomotive force loads for practical needs for designing electrophysical devices are given