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  • Problems of eddy currents and associated effects in linear metal structures are nowadays prevailingly solved by various differential techniques. But complications may appear in arrangements with geometrically incommensurable or moving elements. Difficulties may also be caused by ignorance of boundary conditions, which is typical for tasks of this kind. One of the alternatives how to solve such problems is the integral approach. Its basic continuous mathematical model consists of a system of the second-kind Fredholm integral equations with a time derivative of current densities in the integrand. The paper presents a general derivation of these equations in 3D. Their next processing is shown only in 2D. Presented is an illustrative example demonstrating capabilities of the suggested algorithm and their results are compared with values obtained by other ways. Discussed are advantages and drawbacks of the approach and further possibilities of its improvement.
  • Problems of eddy currents and associated effects in linear metal structures are nowadays prevailingly solved by various differential techniques. But complications may appear in arrangements with geometrically incommensurable or moving elements. Difficulties may also be caused by ignorance of boundary conditions, which is typical for tasks of this kind. One of the alternatives how to solve such problems is the integral approach. Its basic continuous mathematical model consists of a system of the second-kind Fredholm integral equations with a time derivative of current densities in the integrand. The paper presents a general derivation of these equations in 3D. Their next processing is shown only in 2D. Presented is an illustrative example demonstrating capabilities of the suggested algorithm and their results are compared with values obtained by other ways. Discussed are advantages and drawbacks of the approach and further possibilities of its improvement. (en)
  • Problémy víoivých proudu a návazných jevu (elektrodynamické síly, Jouleovy ztráty) v lineárních kovových strukturách jsou v soueasnosti oe1eny poevá3ni diferenciálními technikami (FEM). Komplikace se objevují napo. v upooádáních s geometricky nesoumioitelnými podoblastmi nebo s pohybujícími se elementy. Dal1í problémy mu3e vyvolat neznalost okrajových podmínek, co3 je pro problémy víoivých proudu typické. Jednou z alternativ jak tyto problémy oe1it (jsou-li lineární), je integrální poístup. Jeho základní matematický model sestává ze systému Fredholmových integrálních rovnic druhého druhu s derivací proudových hustot uvnito integrandu. V poíspivku je odvozen kompletní 3D model, av1ak jeho dal1í zpracování je dále ukázáno jen pro 2D poípad. Je uveden ilustrativní poípad demonstrující mo3nosti naznaeeného algoritmu a výsledky jsou porovnány s hodnotami získanými jiným zpusobem. Je provedena diskuse výhod a nevýhod tohoto poístupu a mo3nosti jeho dal1ího vyu3ití. (cs)
Title
  • Integral Model of Eddy Currents of Arbitrary Time Dependence
  • Integrální model víoivých proudu libovolného easového prubihu (cs)
  • Integral Model of Eddy Currents of Arbitrary Time Dependence (en)
skos:prefLabel
  • Integral Model of Eddy Currents of Arbitrary Time Dependence
  • Integrální model víoivých proudu libovolného easového prubihu (cs)
  • Integral Model of Eddy Currents of Arbitrary Time Dependence (en)
skos:notation
  • RIV/68407700:21230/05:03115757!RIV07-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 71 ; 74
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/03/0047), P(GA102/04/0095), S, Z(AV0Z20570509)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 525200
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/05:03115757
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • eddy currents; electromagnetic field; integral model; numerical solution (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B5BCE6386AE9]
http://linked.open...v/mistoKonaniAkce
  • Ustroo
http://linked.open...i/riv/mistoVydani
  • Ustron
http://linked.open...i/riv/nazevZdroje
  • SPETO'2005
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Karban, P.
  • Dole3el, Ivo
  • Ulrych, Bohu1
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Institut Elektrotechniki Teoretycznej i Przemyslowej Politechniki Slaskej
https://schema.org/isbn
  • 83-85940-27-8
http://localhost/t...ganizacniJednotka
  • 21230
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