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1、5.5.InductionmachineswithwoundrotorInductionmachineswithwoundrotorSource:Winergy,GermanyDARMSTADTDept.ofElectricalEnergyConversionUNIVERSITYOF5/1TECHNOLOGYProf.A.BinderThreephasewindinginstatorandrotor•Instatorandinrotoreachathree-phasewindingisarranged:-instator:3phasesbetweenterminalsU-X,V-Y
2、,W-Z,subscripts,-inrotor:3phasesbetweenterminalsu-x,v-y,w-z,subscriptr.•Weassume:Rotorisatrest(standstill),andisturnedbyangleγwithrespecttostator.γ=anglebetweenwindingaxisofstatorandrotorwinding(=centreofcoils).NOTE:γ=2π,ifrotorisshiftedtostatorby2poles:2τ.p•Polenumbersofstatorandrotorwindingm
3、ustbeidentical2p!DARMSTADTDept.ofElectricalEnergyConversionUNIVERSITYOF5/2TECHNOLOGYProf.A.BinderMutualinductancebetweenstatorandrotorphaseStatorRotorPolecount2p2pFromnowononlyfundamentalPhasecountmsmrfieldwavesconsidered!Turns/PhaseNsNrPitchingWs/τpWr/τpCoils/groupqsqrSlotcountQsQr•Mutualindu
4、ctance:e.g.:StatorairgapwaveBδ(x,t)inducesvoltageinrotorwinding:πxµ2mB(x,t)Bˆcos(t)ˆ0s=⋅−ωswithamplitudesB=NkIδδδswssτpδπp•Amplitudesofinducedvoltagesinrotorwinding:2U=2πf⋅N⋅k⋅τlBˆRotorfrequencyfr(atlockedrotor=standstill):fr=fs.i,rsrwrpδπ•Fundamentalwave:MutualinductanceperphaseM:U=ωMIsri,rss
5、rs2ms1τplM=MMsr=µ0Nskw,sNrkw,r2Note:srrsatms=mr!πpδDARMSTADTDept.ofElectricalEnergyConversionUNIVERSITYOF5/3TECHNOLOGYProf.A.BinderSlipringInductionmachine•StatorandrotorhouseathreephasedistributedACwinding•Thethreerotorphasesareshortcircuited•The3statorphasesarefedbythreephasevoltage¤ts
6、ystem(I,frequencyf),ssandexcitefundamentalairgapfield(amplitudeB),whichrotateswithspeedn.δ,ssyn•Ifrotorturnswithn≠n(=ASYNCHRONOUSLY),thenBinducesinrotorwindingsynδ,sthevoltageUperphase,whichdrivesrotorphasecurrentI.rhc,r•RotorphasecurrentandstatorairgapfieldproduceviaLORENTZ-forcethetorqueM.eD
7、ARMSTADTDept.ofElectricalEnergyConversionUNIVERSITYOF5/4TECHNOLOGYProf.A.BinderWoundrotorofslipringinductionmachineTwo-layerthree-phaserotorwindingYconnected3slipringsofthethreephasesshaftendSource:GEWind,GermanyDARMSTADTDept.ofElectric
