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1、JournalofPhysics:ConferenceSeriesPAPER•OPENACCESSStabilityofMagneticBearingsonLorentzForcesTocitethisarticle:FRIsmagilovetal2018J.Phys.:Conf.Ser.944012042Viewthearticleonlineforupdatesandenhancements.ThiscontentwasdownloadedfromIPaddress61.174.131.57on11/08/2018at12:56AMSDIOPP
2、ublishingIOPConf.Series:JournalofPhysics:Conf.Series1234567890944(2018)012042‘’“”doi:10.1088/1742-6596/944/1/012042StabilityofMagneticBearingsonLorentzForcesFRIsmagilov,VYeVavilov,andVVAyguzinaUfaStateAviationTechnicalUniversity,12,K.MarkxaSt.Ufa,450008,Russiae-mail:vtipy@mail
3、.ruAbstract.Inthispaper,therotorstabilityoftheultra-high-speedelectricalrotatingmachinesonthemagneticbearingsonLorentzforceswasproved.Forthissystem,theLyapunovfunctionwasobtained.ItsstudyalloweddeterminingthesustainablemovementoftherotoronthemagneticbearingsonLorentzforcesandm
4、akingrecommendationsofthecontrollercoefficientselection.Thestabilityanalysiswascarriedoutbothformagneticbearingswitharectangularandcylindricalairgaps.Theobtainedresultswereverifiedonanexperimentalunitandcomparedwiththeresultsofotherauthors,whichshowstheconvergenceoftheoretical
5、andexperimentaldatainbothcases.1.IntroductionThedevelopmentofhigh-precisionlasersystems,high-speedphotography,medicalequipmentandroboticsrequiresanincreaseinthespeedofElectricalRotatingmachines(ERMs)withasimultaneoustrendtowardstheirminiaturization.Forsomeindustries,theslotles
6、s100–500WERMswitharotationalspeedfrom500,000rpmto1,000,000rpmandarotordiameterof5-10mmareperspective.WorldcorporationsareactivelyworkingtocreateandimprovetheefficiencyofERM.Inparticular,theIHICorporation(Japan)developsaslotless400Wmicrogeneratorwitharotationalspeedof400,000rpm
7、forrobotics.TheCelerotonCorporation(Switzerland)seriallydevelopsslotless100Welectricmotorswitharotationalspeedof500,000rpm.Thesemotorsaredesignedforhigh-precisionopticalsystems,machinetoolsandmedicalequipment.SimilarworksarebeingconductedintheUSA,BelgiumandSouthKoreaintheinter
8、estsofspaceagenciesandthearmyofthesecountries[1–3].Asalong-te
