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1、4500HVACDuctSystemDesignUsingDynamicProgrammingMethodChun-ChihTingWen-LiangChenSih-LiChen,Ph.D.Ming-TsunKe,Ph.D.Wen-ShingLee,Ph.D.MemberASHRAEABSTRACTationcomputationandcostoptimizationtheory,whichenablethedesignedsystemtohavethelowestlife-cyclecostandallAnHVACductsystemwasdes
2、ignedusingthedynamicpathstohavethesamepressureloss.Thereisnoneedtowasteprogrammingmethod(DPM),whichconsideredsystempres-extratimeormoneytoattainsystempressureequilibrium.sureequilibriumandtheleastlife-cyclecosttoderivetheductHowever,thecomputationprocedureoftheT-methodissizean
3、dfancapacity.Asimpleexamplewasprovidedtounder-extremelycomplex.Thereareatleast20computationstepsinstandthecharacteristicsofDPMandcomparewiththeoneiterationforonlyoneductsection.Besides,T-methodconventionalductdesignmethods.SinceDPMcontainstheofferspoorcontrolofflowvelocityordu
4、ctdiameter.Incasesconceptofminimizingthelife-cyclecost,thedesignresultsnotofrelativelyinexpensiveinitialcost,theflowvelocitymaybeonlyguaranteeeachpathtosharethesamepressurebutalsotoohigh.Incontrast,forcasesofrelativelyinexpensiveenergybearasmallercostthanothermethods.Thelimito
5、nductdiam-cost,theductsizemaybetoobig.Nevertheless,inactualducteterorflowvelocitywasaddedtothecomputationprocess.Asdesign,considerationsofthefactorsofspaceandnoiseoftenaresult,thederivedoutcomesatisfiedalltherequirementsofductdiameterorflowvelocity.Inparticular,thecomputationr
6、equirethelimitontheductdiameterorflowvelocityduringneededinDPMissimplerthanmostmethodsthatconsiderthecertainsections.Whentherearetoomanylimitations,itisleastlife-cyclecost,makingDPMasuccessfulmethodforductdifficulttoobtainsatisfactoryoptimalsolutionfromtheT-systemdesign.method
7、.Thus,itisnecessarytosearchforadesignmethodthatcontainsasimplecomputationprocedureandconsiderstheINTRODUCTIONleastlife-cyclecostandpressureequilibriumundercertainlimitsonspaceorflowvelocity.MostconventionalHVACductdesignsusetheequalfric-tionmethod(ASHRAE1997)orvelocitymethod.T
8、heseThedynamicprogrammingmethodisatypeofmathe-methodsmaybesim