风电场中直驱式风力发电机组稳定性评估
风电场中直驱式风力发电机组稳定性评估
Fig.3.Frequency-converterwithgenerator-sidediode-recti erandgrid-sidePWM-converter
referenceframe(d-axis:activecurrent,q-axis:reactivecurrent).ThisfastcurrentcontrolloopscanbefoundinalmostallgridconnectedPWM-inverters.
Inaslowercontrolloop,activeandreactivepowerarecontrolled.Thepowerreferenceisusuallyde nedbyaspeed-powercharacteristicthatdrivesthewind-generatorautomaticallyintheoperatingpointofhighestef ciency(MaximumPowerTrackingstrategy).
Butcontrollingactivepowerisjustoneofseveralpossibilitiesforrealizingtheouter,d-axiscontrolloop.Controllingtorqueinsteadofpowerisanotheralternative.Inmanydesigns,generatorspeedinsteadofpowerortorquede nestheactive(d-axis)currentreference.
TheDC-boosterstabilizesthevoltageattheDC-terminalofthein-verter.Thecontrollerisrealizedbyafastcurrentcontrollersetbyanoutervoltagecontrolloop.
Figure4showsanotherfrequencyconverterconceptthatisverycommon,especiallyforpermanentmagnetgenerators.Here,bothcon-verters,thegenerator-sideandthegrid-sideconverterarerealizedbyself-commutatedPWMconverters.
Thegrid-sidecontrolcanberealizedinexactlythesamewayasintheconceptaccordingto gure3,includingalloptionswithregardtotorqueorspeedcontrol.
Thegenerator-siderecti erregulatesDC-voltagethroughthed-axiscurrentandAC-voltagethroughtheq-axiscurrentcontroller.
IncaseofelectricallyexcitedgeneratorshavingAVRs,reactivepowercouldbecontrolledinsteadofAC-voltage.
III.ELECTRICALCOMPONENTMODELING
A.SynchronousGenerator
Synchronousmachinemodelsforpowersystemanalysisareusuallybasedontheassumptionthatthemagnetic uxdistributionintherotorissinusoidal(e.g.[10]).Withthisassumption,the uxcanentirelybedescribedbyavector.
Theresultingsynchronousmachinemodel,alsonamedthe”Park”-modelcanbestbedescribedinarotor-orientedd-q-referenceframe.Figures5and6showthed-axisandq-axisequivalentcircuitdi-agramsofthesynchronousgeneratormodelofseventhorder.Themodelconsidersstatorwindings,theexcitationwindinginthed-axisanddamperwindingsinthed-andq-axis.Theinductancesassociatedtodamperwindingscaneitherrepresentrealwindingsorjustmodeleddycurrentlossesintherotor.Hence,thedescribedmodelcanbeusedforsynchronousgeneratorswithorwithoutdamperwindings.

2


Fig.4.Frequency-converterwithtwoPWM-convertersandintermediateDC-voltagecircuit
Fig.5.d-axissynchronousmachinemodel
Accordingtotheequivalentcircuitsof gures5and6thestator-voltageequationscanbeexpressedasfollows:
(1)
Therotor-voltageequationsare:
(2)
Thesynchronousmachinemodeliscompletedbythemechanicalequation:
(3)
Thereisthefollowingrelationshipbetweenthemechanicalvariables
andandthecorrespondingelectricalvaluesthatareusedin(1):
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