ASHRAE.4446-2001 Stability Analysis and Tuning of PID Controller in VAV Systems

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1、4446StabilityAnalysisandTuningofPIDControllerinVAVSystemsMasatoKasaharaTakanoriYamazakiYoshiakiKuzuuYukihiroHashimotoAssociateMemberASHRAEMemberASHRAEKazuyukiKamimuraTadahikoMatsubaShigeruKurosu,Ph.D.MemberASHRAEAssociateMemberASHRAEMemberASHRAEABSTRACTandsystemparameters.Theopt

2、imumtuningofcontrollersforVAVsystemsisderivedfromoptimizationtechniques.ThePIDThispaperpresentsastabilitylimitanalysisandanewparametersforalinearsystemmustbemodifiedslightlybytuningmethodforproportional-integral-derivative(PID)findingthegainreductionfactorstosuitrealVAVsystems.c

3、ontrollersforbilinearsystemswithtime-delayedfeedback.UnlikeotherpublicationsonstabilityanalysisofbilinearINTRODUCTIONsystems,thispaperconsiderstemperaturecontrolofsingle-zoneenvironmentalspace(althoughnotverycommon)usingTodayVAVtechnologyisuniversallyacceptedasameansvariableairv

4、olume(VAV)technology.VAVsystemsareofachievinganenergy-efficientandcomfortablebuildingdefinedasair-handlingunitsthatusevariableairflowratetoenvironment.Infact,VAVsystemsmeetrequirementsforthesatisfytheheating,ventilating,andair-conditioning(HVAC)intelligentoperationofair-conditio

5、ningincommercialandoperationalrequirement—suchasindoortemperature(ther-institutionalbuildings,thereductionofmaintenancecosts,malcomfort)—andareoneofthemostpopularHVACsystemsandenergyusageinairtransportation.YetnotallVAVsystemsforcommercialandinstitutionalbuildingsinJapantoday.ar

6、esuccessful.AlthoughreducedenergyconsumptionisBilinearsystemsarisenaturallyintheseVAVsystems,wherepossible,VAVsystemsdemandrobustcontrolschemesiftheyenergybalanceequationscontaintheproductoftheairflowaretobeasefficientasexpected.rate,whichiscommonlyusedasthecontrolinput,andtheTh

7、emostsignificanttechnicalproblemistheinteractiontemperature,whichiscommonlythecontrolledvariable.VAVofsystemcomponentswithcontrolloopsunderthecontinu-systemsleadtoinstabilitieswithsupplyairtemperatureandouslychangingflowconditions.Thisinteractioncausesunsta-pressurethatareoftenu

8、nacceptable.Unfortunately,itisblebehaviorsifthe