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  • Článek se zaobírá modelováním indukčních ohřevů materiálů vykazujících magnetickou hysterezi. Navrhované matematické řešení je implementováno pro proměnné elektromagnetického pole obecně jako funkcí času s uvažování diferenciálního modelu hystererezní smyčky prvého řádu. Parametry modelu jsou získány z měření feromagnetického materiálu použitím nelineární regrese s Levenberg-Marquardtovou metodou. Hlavní důraz je kladen na ověření klasických analytických a numerických metod - nelinearita systému neumožňuje zavést popis pomocí názorové symboliky - a jejich specifikaci při porovnání s vytvořenou matematickou simulací. Ačkoliv je studie uvažována pouze se zjednodušenou geometrií kvůli extrémní výpočetní náročnosti, jsou naznačeny rozšíření a praktické aplikace. (cs)
  • The paper deals with the induction heating modelling of materials that significantly exhibit magnetic hysteresis. Proposed mathematical solution is implemented for variables of electromagnetic field generally varying with time, considering the first order differential hysteresis loop model. Parameters of the model are obtained from the measurement of ferromagnetic materials by non-linear regression using Levenberg-Marquardt method. The main emphasis is laid on the verification of classical analytical and numerical methods - the nonlinearity of the system makes the description of the system by phasors impossible - and their specification comparing the designed mathematical simulation. However the study with simplified geometries is considered due to the extreme calculation time, the expansion for the complex and practical application types is feasible and proposed.
  • The paper deals with the induction heating modelling of materials that significantly exhibit magnetic hysteresis. Proposed mathematical solution is implemented for variables of electromagnetic field generally varying with time, considering the first order differential hysteresis loop model. Parameters of the model are obtained from the measurement of ferromagnetic materials by non-linear regression using Levenberg-Marquardt method. The main emphasis is laid on the verification of classical analytical and numerical methods - the nonlinearity of the system makes the description of the system by phasors impossible - and their specification comparing the designed mathematical simulation. However the study with simplified geometries is considered due to the extreme calculation time, the expansion for the complex and practical application types is feasible and proposed. (en)
Title
  • Experience with differential model of hysteresis loop for modeling of induction heating
  • Zkušenosti s diferenciálním modelem hysterezní smyčky při modelování indukčních ohřevů (cs)
  • Experience with differential model of hysteresis loop for modeling of induction heating (en)
skos:prefLabel
  • Experience with differential model of hysteresis loop for modeling of induction heating
  • Zkušenosti s diferenciálním modelem hysterezní smyčky při modelování indukčních ohřevů (cs)
  • Experience with differential model of hysteresis loop for modeling of induction heating (en)
skos:notation
  • RIV/68407700:21230/07:03131266!RIV08-MSM-21230___
http://linked.open.../vavai/riv/strany
  • 553;558
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 421096
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/07:03131266
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Induction heating; differential hysteresis loop model; ferromagnetic materials (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [92E3DF210ED6]
http://linked.open...v/mistoKonaniAkce
  • Padova
http://linked.open...i/riv/mistoVydani
  • Padova
http://linked.open...i/riv/nazevZdroje
  • Induction, dielectric, Conduction and Electromagnetic Processing
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kyncl, Jan
  • Kubín, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Servici Grafici Editoriali
https://schema.org/isbn
  • 88-89884-07-X
http://localhost/t...ganizacniJednotka
  • 21230
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