20.500.12556/RUL-184326 Modeliranje in krmiljenje sistemov magnetne levitacije Modelling and control of magnetic levitation systems Ta doktorska disertacija se ukvarja z večciljno optimizacijo magnetnih levitacijskih sistemov. Za pomoč pri tem procesu je bil razvit nov algoritem za obdelavo prehodne funkcije. S spreminjanjem časovnega koraka algoritma glede na značilnosti krivulje se doseže večja hitrost obdelave signalov, kar potrjujejo numerični testi. Algoritem je uporaben tudi za dinamične sisteme delnega reda, za katere je bila izpeljana eksplicitna formula za inverzno Laplaceovo transformacijo splošnega tipa prenosnih funkcij. Natančno določanje magnetnih polj 3D-objektov je pomemben del modeliranja levitacijskih sistemov. To delo formulira in rešuje problem iskanja stacionarnega magnetnega polja 3D-objekta na kateri koli točki v prostoru na podlagi znanih vrednosti magnetnega polja blizu površine magnetiziranega predmeta. Za večplastni solenoid so bile izpeljane nove kompaktne analitične formule za dvižno silo in njene odvode. Z uporabo teh formul so bile primerjane optimalne geometrije tuljav, pridobljene z več negladkimi metodami iskanja minimuma. This thesis is concerned with multi-objective optimization of magnetic levitation systems. To assist with this process, a new algorithm for processing step response signals was developed. By varying the algorithm’s time step depending on the characteristics of the curve, it achieves increased signal processing speed, which is confirmed by numerical tests. The algorithm is also applicable to fractional-order dynamical systems for which an explicit formula for the inverse Laplace transform of a general type of transfer functions was derived. Accurate determination of magnetic fields of 3D objects is an important part of modeling of levitation systems. This work formulates and solves the problem of finding the stationary magnetic field of a 3D object at any point in space based on known values of the magnetic field near the surface of a magnetized object. For a multilayered solenoid, new compact analytical formulas of the lifting force and its derivatives were derived. Using these expressions, the optimal coil geometries, acquired with several nonsmooth minimum search methods, were compared. magnetna levitacija teorija krmiljenja analiza prehodne funkcije metahevristični algoritmi diferencialni sistemi delnega reda metoda robnih elementov magnetna polja Laplaceova enačba magnetic levitation control theory step response analysis metaheuristic algorithms fractional-order analysis boundary element method magnetic fields Laplace equation true false false [I. Reznichenko] Slovenski jezik Angleški jezik Doktorsko delo/naloga 2026-07-04 08:30:39 2026-07-04 08:30:52 2026-07-07 11:46:46 0000-00-00 00:00:00 2026 0 Ljubljana 0 XX, 178 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 681.527.7:681.511(043.3) 286111 283884547 47056.pdf 47056.pdf 1 E3E46ADAA9C7F20AFCDB8898877DB465 94de3a0e3c35b772b0d68def1e31f5dc556affe96f56eaf8874052bb9ee353b3 d26128c3-7771-11f1-9b0d-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=237006 Fakulteta za strojništvo 0 0 0