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Pozycja Solving some technical problems with using numerical simulations(Wydawnictwo Uniwersytetu Rzeszowskiego, 2010) Kwiatkowski, Bogdan; Pękala, RobertIn the paper two technical issues described by mathe-matical models are presented. The first problem concerns the mathematical modeling of the electromagnetic field in laminated ferromagnetic cores. Algorithms of transient and steady-state are presented. The phenomenon based on the connection core condition and magnetizing current is investigated too. The second problem involves electromagnetic field modeling in high-current vacuum switch. Some theoretical problems dedicated to arcquenching in vacuum switches are described. Provided tests show influence of switch shape on field di¬stribution to obtain sustained vitality of vacuum switch. Additionaly, for both issues the mathematical model verification with using real objects are considered.