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1、BasicTheoryofDirectTorqueControlGeneral,mathematical,andphysicalfundamentalsofproducingfasttorqueresponseinDTC.Highdynamicperformanceinstantaneouselectromagnetictorquecontrolledinductionmotordriveshavebeenusedformorethan20years.Inadirecttorquecontrolledinductionmotordrive,suppliedbyavoltagesourcei
2、nverter,itispossibletocontroldirectlythestatorfluxlinkage(ortherotorfluxlinkage,ormagnetizingfluxlinkage)andtheelectromagnetictorquebytheselectionofoptimuminverterswitchingmodes.Theselectionismadetorestrictthefluxandtorqueerrorswithinrespectivefluxandtorquehysteresisbands,toobtainfasttorquerespons
3、e,lowinverterswitchingfrequency,andlowharmoniclosses.Inadditiontocontrollingtheelectromagnetictorque,thecontrolledfluxlinkageisthestatorfluxlinkage.DTCallowsveryfasttorqueresponsesandflexiblecontroloftheinductionmachine.DuetotheimportanceofDTCdrives,andalsoduetothegreatinterestinthesetypesofdrives
4、,andalsosinceitisexpectedthatvariousDTCdriveswillemergeinthefuture,averydetaileddescriptionwillbegivenbelow.Ingeneral,inasymmetricalthree-phaseinductionmachine,theinstantaneouselectromagnetictorqueisproportionaltothecross-vectorialproductofthestatorflux-linkagespacevectorandthestator-currentspacev
5、ector.te=(3/2)Pψs×is…….(2.1)whereψsisthestatorflux-linkagespacevectorandisisthestator-currentspacevector.IntheEqn.(2.1),bothspacevectorsareexpressedinthestationaryreferenceframes.Byconsideringthatψs=
6、ψs
7、exp(jρs),whereρsistheanglebetweenthestatorflux-linkagespacevectorwithrespecttothedirectaxisofth
8、estatorreferenceframeandis=
9、is
10、exp(jαs),asshowninFig.2.1,itispossibletoputtheaboveEqn.(2.1)intothefollowingform:te=(3/2)P
11、ψs
12、
13、is
14、sin(αs-ρs)=(3/2)P
15、ψs
16、
17、is
18、sin(α).……(2.2)DirectTorqueControlofInductionMotorusingSpaceVectorModulation5whereα=(αs-ρs)istheanglebetweenthestatorfluxlinkageandstatorcurrents
19、pacevector.Itcanbeshownbyusingthevoltageequationsoftheinductionmachinethat,foragivenvalueoftherotorspeed,ifthemodulusofthestatorfluxlinkagespacevectoriskeptconstantandtheangleρsischangedquickly,thentheelectromagn
