BUILDINGTECHNOLOGIESPROGRAMMay14,2014ASRACPumpsWorkingGroupWebinarMeetingMetric:FromTestStandtoPER2OverviewToDiscussToday:•Metricnomenclature•Examplesfordifferentpumpconfigurations–Motoranddriverpartloadlossfactor–Testingvscalculationoptions•Revisedcalculator&How‐Toslides•ImpactoftestprocedureandmetriconstandardToDiscussatNextRegNeg Meeting(May28thand29th):•ComparisonofMEIandPER•CommentsonmaterialpresentedonMay14thwebinar•ImplementationofPERCLandPERVL3MetricApplicabilitytoPumpConfigurationsPumpConfigurationBare Pump* BarePump+ Motor BarePump+Motor+Controls

Metric CoverageBarePump PERCLDoesnotincludemotorefficiencyDoesnotdescribecontrollossesorbenefitsBarePump+DriverPERCL(w/ std.driver)PERCLDoesnotdescribecontrollossesorbenefitsBarePump+Driver+ControlsPERCL(w/ std.driverandcontrols)PERCL(w/std.controls)PERVL

PumpMotor PumpMotorControl Pump•Defineaunique,butsimilar,metricforcontrolledversusuncontrolledpumps•Uncontrolledpumps‐>ConstantLoadPumpEnergyRating(PERCL)•Controlledpumps‐>VariableLoadPumpEnergyRating(PERPL)*Pumpssoldwithnon‐electricdrivescouldberatedasbarepumps4PumpEnergyRating(PER)andIndex(PEI)NomenclaturePumpEnergyRating(PER)CLandVL:equallyweightedaverageelectricinputpowertothe‘pump’measured(orcalculated)atthedriverinputor,whenpresent,controlsinput,overaspecifiedloadprofile:Where:•wi=weightateachloadpointi•Pini=powerinputtothe“pump”atthedriver,inclusiveofthecontrolsifpresent,(hp)•i =Percentageofflowatthebestefficiencypoint(BEP)ofthepump•i=110%,100%,75%ofBestEfficiencyPoint(BEP)flowatnominalspeedforuncontrolledpumps•i=25%,50%,75%,and100%ofBEPflowatnominalspeedforpumpssoldwithmotorsandcontrolsPumpEnergyIndex(PEI)CLandVL:PERCLandVL,foragivenpumpmodel,overthePERCLforaminimallycompliantpump(PERmax):ࡾࡱࡼࡸࢂ/ࡸ࡯ൌ෍߱௜ܲ௡௜௜௜ࡵࡱࡼࡸࢂ/ࡸ࡯ൌܴܧܲ௅௏/௅஼ܴܧܲ௫௠௔5DeterminingPEICLforanUncontrolledPump•PumpPerformance–Pivaluesarethetestedshaftinputpowertothepump(speedxtorque)ateachloadpointi•i=75%,100%,and110%offlowrateatBEPofthepump•Equalweighting•MotorPerformance(Losses)–Lratedisthefullloadlossesofamotorthatispairedwiththepumpforpumpssoldwithmotors–LratedisthefullloadlossesofanenclosedmotorthatisminimallycompliantwithDOE’smotorregulations(10CFR431.25)forgeneralpurposemotors(subtypeI)forallpumpsexceptESCCandgeneralpurposemotors(subtypeII)forESCCpumpsܲܫܧ௅஼ൌఠబ.ళఱ௉೔೙బ.ళఱାఠಳಶು௉೔೙ಳಶುାఠభ.భ௉೔೙భ.భ௉ாோ೘ೌೣൌ߱଴.଻ହܲ௜௡଴.଻ହ൅ ߱஻ா௉ܲ௜௡஻ா௉൅ ߱ଵ.ଵܲ௜௡ଵ.ଵ߱଴.଻ହܲு௬ௗ௥௢,଴.଻ହ0.95 ∗ ߟ௣௨௠௣൅ ܮ଴.଻ହ൅ ߱஻ா௉ܲு௬ௗ௥௢,஻ா௉ߟ௣௨௠௣൅ ܮ஻ா௉൅ ߱ଵ.ଵܲு௬ௗ௥௢,ଵ.ଵ0.985 ∗ ߟ௣௨௠௣൅ ܮଵ.ଵ=భయ∗௉బ.ళఱା௅బ.ళఱାభయ∗௉ಳಶುା௅ಳಶುାభయ∗௉భ.భା௅భ.భభయ∗ುಹ೤೏ೝ೚,బ.ళఱబ.వఱ∗ആ೛ೠ೘೛ା௅బ.ళఱାభయ∗ುಹ೤೏ೝ೚,ಳಶುആ೛ೠ೘೛ା௅ಳಶುାభయ∗ುಹ೤೏ೝ೚,భ.భబ.వఴఱ∗ആ೛ೠ೘೛ା௅భ.భ•NoControlsPerformance6DeterminingPEIVLforaControlledPumpܫܧܲ௏௅ൌ1η௖௧௥௟߱଴.ଶହܲ௜௡଴.ଶହ൅ ߱଴.ହ଴ܲ௜௡଴.ହ଴൅ ߱଴.଻ହܲ௜௡଴.଻ହ൅ ߱஻ா௉ܲ௜௡஻ா௉߱଴.଻ହܲு௬ௗ௥௢,଴.଻ହ0.95 ∗ ߟ௣௨௠௣൅ ܮ଴.଻ହ൅ ߱஻ா௉ܲு௬ௗ௥௢,஻ா௉ߟ௣௨௠௣൅ ܮ஻ா௉൅ ߱ଵ.ଵܲு௬ௗ௥௢,ଵ.ଵ0.985 ∗ ߟ௣௨௠௣൅ ܮଵ.ଵ=ଵ஗೎೟ೝ೗భర௉೔೙బ.మఱାభర௉೔೙బ.ఱబାభర௉೔೙బ.ళఱାభర௉೔೙ಳಶುఠబ.ళఱುಹ೤೏ೝ೚,బ.ళఱబ.వఱ∗ആ೛ೠ೘೛ା௅బ.ళఱାఠಳಶುುಹ೤೏ೝ೚,ಳಶುആ೛ೠ೘೛ା௅ಳಶುାఠభ.భುಹ೤೏ೝ೚,భ.భబ.వఴఱ∗ആ೛ೠ೘೛ା௅భ.భ•PumpPerformance–Pivaluesarethetestedshaftinputpowertothepump(speedxtorque)ateachloadpointi•i =25%,50%,75%,and100%offlowrateatBEPofthepump•Equalweighting•MotorPerformance(Losses)–Lratedisthefullloadlossesofamotorthatispairedwiththepumpforpumpssoldwithmotors•ControlsPerformance–Benefitiscapturedincalculationofbareshaftinputpower–Couldstillaccountfordriveefficiency7MinimallyCompliantPump•PERforaminimallycompliantpump–BasedonPERStandardsetthroughStandardsanalysis–Assumesapumpcurveshapefortheminimallycompliantpumpandalwaysassumesnocontrols–Motorlossesarethatofaminimallycompliantenclosedmotorfortheappropriatepumptype–Theminimallycompliantpumpefficiencyiscalculatedforeachpumptypebasedonafunctionofflowandspeedܲܧܴ௔௠௫ൌ ߱଴.଻ହܲு௬ௗ௥௢,଴.଻ହ0.95 ∗ ߟ௣௨௠௣,௠௜௡൅ ܮ଴.଻ହ൅ ߱஻ா௉ܲு௬ௗ௥௢,஻ா௉ߟ௣௠௨௣൅ ܮ஻ா௉൅ ߱ଵ.ଵܲு௬ௗ௥௢,ଵ.ଵ0.985 ∗ ߟ௣௨௠௣൅ ܮଵ.ଵߟ௣௨௠௣ൌ 88.59 ∗ lnܰݏ ൅ 13.46 ∗ lnܳ௠௘௧௥௜௖െ 11.48 ∗ lnܰݏଶെ 0.85 ∗ lnܳଶെ 0.38 ∗ lnܰݏ∗ lnܳ െܥ•Where:–Nsisthespecificspeedofthepumpinmetricunits,–QistheflowrateofthepumpatBEPinm3/hr,–CistheC‐valueofthesurface,whichissetbasedonthespeedofrotationofthepump,and–Allvaluesareforthepumpat50Hz8PumpUsedforExampleCalculationsNotethatthisexampleisforapumpandmotorcombination.Iftheworkinggroupdecidestoincludeengine‐drivenpumpsinthescopeofthisrulemaking,similarcalculationmethodswillhavetobedevelopedoraseparatephysicaltestapplied.PumpMotor(ifapplicable) ControlsType:OH1Ratedconditions:•RatedFlow:900GPM•RatedHead:160ft•RatedSpeed:1750RPMPower:60hpEfficiency:95%Noloadspeed(TestMotor):1780RPM[fourpolemotor]Various9BEPFlowRateDetermination–InaccordancewithHI40.6,sweepthroughatleastsevenflowpointsfromshutofftomaximumflowrate•HI40.6requirespointsofapproximately40,60,75,90,100,110,and120%oftheflowrateattheexpectedBEPofthepump(iftheactualBEPrateofflowisdisplacedbymorethan5%oftheexpectedvalue,thenthetestmustberepeated).•Recordflowrate,pumphead,torqueandspeedateachpoint•Calculateefficiencyateachofthepoints–BEPisdeterminedbyfindingmaximumofbestfitcurveofefficiencyvsflowrate%ofBEPflowFlowRate(GPM) Head(ft)Speed(RPM)Torque(lb‐in)HydraulicPower(hp)Shaftinputpower(hp)η(%)η[bestfit](%)128 1200.59 141.51 1774.10 1977.14 41.76 55.65 75.04 74.42108 1012.80 157.91 1774.63 1782.87 39.31 50.20 78.31 77.57100 939.62 162.58 1774.80 1721.36 37.55 48.47 77.47 77.8691 851.24 169.44 1775.86 1613.80 35.46 45.47 77.97 77.6576 709.87 178.40 1775.85 1458.85 31.13 41.11 75.73 75.9658 547.19 186.61 1777.84 1251.15 25.10 35.29 71.12 71.2248 449.06 189.67 1778.80 1112.42 20.94 31.40 66.69 66.1810PumpCurveExample– DeterminingBEPBestEfficiencyPoint25%50% 75%100% 110%Percent of BEP Flow11DeterminingBareShaftPumpInputPower–AfterdeterminingBEPflow,partloadpowerisdeterminedthroughlinearregressionofpumpshaftinputpowervsflowrateforalldatapointsabove50%ofBEPflow•Atverylowpartload,pumpshaftinputpowervsflowratecurveloseslinearity•Usingbestfitlinearregression,obtainpumpshaftinputpowerforloadpoints(QBEP,Q75%,Q110%)y=0.031x+18.805R2=0.996801020304050600 500 1000 1500

Pump shaft input power (hp)Flowrate(GPM)Above50%BEPflowBelow50%BEPflow%ofBEPflowFlowRate(GPM)Shaftinputpower(hp)100 94047.9875 70540.69110 103450.89–Insteadcouldlinearlyinterpolatebetweenpointstodetermineshaftinputpoweratpartloadpoints–Couldalsoestablishtoleranceforwhichinterpolationisallowed12PumpCurveExample– DeterminingBareShaftInputPowerHydraulicOutputPowerBestEfficiencyPoint25%50%75%100% 110% 120%Percent of BEP FlowBare PumpBrakeHorsepowerUsed forMotorSizingONLY13PERTestProcedureOptionsPumpConfigurationBare Pump*BarePump+Motor BarePump+Motor+Controls

Test Procedure OptionsTestedBarePump+CalculationsTestedbarepumpperformance +DOEminimumefficiencymotorwithassumedpartloadlossesTested barepumpperformance+manufacturermotorwithassumedpartloadlossesTestedbarepumpperformance+manufacturermotorwithassumedpartloadlossesTestedPumpwithManufacturerMotorN/ATested performanceofbarepumpwithmanufacturermotor(wiretowater)Tested performanceofbarepumpwithmanufacturermotor(wiretowater)TestedPumpwith MotorandControlsN/AN/ATested performanceofbarepumpwithmanufacturermotorandcontrols(followsystemcurve)

PumpMotor PumpMotorControl Pump*Pumpssoldwithnon‐electricdrivescouldberatedasbarepumps14×standardizedmotorefficiencyanddefaultpartloadcurveMOTORpumpperformancedatafrompumptestatratedspeedDeterminingBarePumpPERCL×standardizedcontrolsperformance=1Controls•Pivaluesarethelinearly‐fitshaftinputpowertothepump(speedxtorque)ateachloadpointi•i=75%,100%,and110%offlowrateatBEPofthepump•Equalweighting•StandardizedMotorPerformance•EnclosedmotorthatisminimallycompliantwithDOE’smotorregulations(10CFR431.25)forgeneralpurposemotors(subtypeI)forallpumpsexceptESCCandgeneralpurposemotors(subtypeII)forESCCpumps•HPusedwillbenextHPabovebrakehorsepowerat120%ofBEPHP•Poleswillbebasedonspeedatwhichpumpisbeingrated•StandardizedControlsPerformance•Driveefficiency=100%(sincenodrive)15•DeterminebareshaftinputpoweratQ75%,Q100%andQ110%ofBEPflowrates:ࡾࡱࡼࡸ࡯ൌ࣓૞ૠ.૙ࡼ૞ૠ.૙ࡸ ൅૞ૠ.૙࣓ ൅ࡼࡱ࡮ࡼࡼࡱ࡮ࡸ ൅ࡼࡱ࡮࣓ ൅૚.૚ࡼ૚.૚ࡸ ൅૚.૚DeterminingBarePumpPerformanceLoad Point Flowrate[GPM] Pumpbrakehp[HP]Q110%103450.89Q100%94047.98Q75%70540.69ࡾࡱࡼࡸ࡯ൌ૚૜ൗൈ૝૙. ૟ૢ࢖ࢎ ൅ ࡸ૙.ૠ૞൅૚૜ൗൈ૝ૠ. ૡૢ࢖ࢎ ൅ 

ࡸࡼࡱ࡮൅૚૜ൗൈ૞૙. ૡૢ࢖ࢎ ൅ ࡸ૚.૚16DeterminingPartLoadMotorLossesThefractionalmotorlossesateachloadpointi(Li)arecalculatedastheratedfullloadmotorlosses(Lrated)multipliedbythepart‐loadlossfactor(yi),whichiscalculatedasacubicpolynomial*oftheloadfractiononthemotor(xi):ܮ௜ൌ ܮ௔௥௧௘ௗ∗ ݕ݅ ൌ ܮ௔௥௧௘ௗ∗ܽ∗ݔ௜ଷ൅ܾ∗ݔ௜ଶ൅ܿ∗ݔ௜൅ ݀ൌ ܮ௔௥௧௘ௗ∗ܽ ∗ܲ௜݁ݖܵ݅ݎ݋ݐ݋ܯଷ൅ܾ∗ܲ௜݁ݖܵ݅ݎ݋ݐ݋ܯଶ൅ܿ∗ܲ௜݁ݖܵ݅ݎ݋ݐ݋ܯ݀ ൅Where:•Li=thefractionalloadlossofthemotoratloadpointi(hp);•Lrated=theratedfullloadmotorlossesasdeterminedinaccordancewiththeDOEtestprocedureformotorsat10CFR431subpartB(hp);•yi=thepart‐loadlossfactor;•xi=theloadfractionforthemotorateachloadpointi;•Pi=theshaftinputpowertothebareshaftpump(hp);•MotorSize =thenominalratedoutputpowerofthemotor(hp);and•i=Percentageofflowatthebestefficiencypoint(BEP)ofthepump.*Adifferentcubicpolynomial(i.e.differenta,b,c,anddcoefficients)areassumedbasedontherotatingspeed(2‐polevs.4‐pole)andmotordesign(ODPvs.TEFC)17MotorLossesEquation•MotorlosscurvesbasedonMotorMastersDatabase•DifferentloadlosscurvesforODP/TEFCand2‐pole/4‐polemotors•Otheroptions?y=0.12x3+0.18x2+0.4x+0.300.20.40.60.811.20 0.5 1 1.5

Fraction of full load power lossFractionoffullloadpowerODPmotorsat3600RPMCubicPolynomialMotorMastersDataPoly.(CubicPolynomial)18AccountingforMotorLosses•Calculatethefractionalloadlossateachflowpointusing:ܮ௜ൌ ܮ௙௨௟௟,௥௔௧௘ௗ∗ ݕ௜–WhereLiisthefractionalloadlossateachflowpointinhp,Lfull,ratedisthefullloadlossesdeterminedinaccordancewith10CFR431.25(subpartB)inhp,andyiisthepartloadlossfactorforeachflowpoint•Calculatethefractionalinputpowerasfollows:ܲ௜௡௜ൌ ܲ௜൅ ܮ௜–WherePiisthebareshaftinputpowerinhp andthefractionalloadlossateachflowpoint,Lfull,ratedisthefullloadlossesdeterminedinaccordancewith10CFR431.25(subpartB)–Calculatefractionalinputpowerasfollows:Piin=Pi+Li%BEPflowBare pumpshaftinputpower (hp)Loadfraction(xi)Partloadlossfactor(yi)Fractionalloadloss(hp)Fractionalinputpower(hp)110 50.89 0.85 0.843.4554.35100 47.98 0.80 0.803.2751.257540.69 0.68 0.692.8443.5319DeterminingBarePumpPerformance‐Calculations•CalculatePERCLbyweightingeachoftheinputpowervaluesasfollows:•PERCLisbasedonmotorefficiencyof93.6%,obtainedfromDOEmotorregulation(10CFR431.25)•ThencalculatePEICLasaratioofthepumpPERCLandthePERmaxforaminimallycompliantpump:ࡾࡱࡼࡸ࡯ൌ૚૜൅ ࢖ࢎ	૜૞ .૜૝૚૜൅ ࢖ࢎ	૞૛ .૚૚૜࢖ࢎ	૞૜ .૝૞ࡾࡱࡼࡸ࡯࢖ࢎ	૚ૠ ૢ. ૝ൌࡵࡱࡼࡸ࡯ൌܴܧܲ௅஼ܴܧܲ௫௠௔ൌ݌49.71݄ܴܧܲ௫௠௔20×manufacturermotorefficiencyatfullandpartloadMOTORBarePump+MotorTestProcedureManufacturercanpairitspumpdatawithmanufacturermotordata.pumpperformancedatafrompumptestatratedspeedstandardizedcontrolsperformance=1Controls×MOTORPUMPManufacturercanmeasurepowerofpump+motorcombo.standardizedcontrolsperformance=1Controls×pump+motor performancedataAB21DeterminingBarePump+MotorPERCL•CalculatePERusingthesamemethodasforthebareshaftpumpexcept:–IncorporatetheratedmotorefficiencyratherthanDOEminimumefficiency•Pivaluesarethetestedshaftinputpowertothepump(speedxtorque)ateachloadpointi–i=75%,100%,and110%offlowrateatBEPofthepump–Equalweighting•ManufacturerMotorPerformance–Lratedisthefullloadlossesofamotorthatispairedwiththepump•StandardizedControlsPerformance–Driveefficiency=100%(sincenodrive)ࡾࡱࡼࡸ࡯ൌ࣓૞ૠ.૙ࡼ૞ૠ.૙ࡸ ൅૞ૠ.૙࣓ ൅ࡼࡱ࡮ࡼࡼࡱ࡮ࡸ ൅ࡼࡱ࡮࣓ ൅૚.૚ࡼ૚.૚ࡸ ൅૚.૚ࡾࡱࡼࡸ࡯ൌ૚૜ൗൈ૝૙. ૟ૢ࢖ࢎ ൅ ࡸ૙.ૠ૞൅૚૜ൗൈ૝ૠ. ૡૢ࢖ࢎ ൅ 

ࡸࡼࡱ࡮൅૚૜ൗൈ૞૙. ૡૢ࢖ࢎ ൅ ࡸ૚.૚22DeterminingBarePump+MotorPerformance–CalculationMethod•Assume60hp motorwithηmotor,meas=95%(Lfull,rated=3.16hp)andothervaluesasbefore:•ThencalculatePEICLasaratioofthepumpPERCLandthePERmaxforaminimallycompliantpump:ࡾࡱࡼࡸ࡯ൌ૚૜൅ ࢖ࢎ	ૡૡ .

૝૛૚૜൅ ࢖ࢎ	ૢ૝ .૙૞૚૜࢖ࢎ	૞૞ .૜૞ࡾࡱࡼ ൌ ૝ૡ. ૢૠ	࢖ࢎ%BEPflowBare pumpshaftinputpower (hp)Loadfraction(xi)Partloadlossfactor(yi)Fractionalloadloss(hp)Fractionalinputpower(hp)110 50.89 0.85 0.84 2.6653.55100 47.98 0.80 0.80 2.51 50.4975 40.69 0.68 0.692.1842.88ࡵࡱࡼࡸ࡯ൌܴܧܲ௅஼ܴܧܲ௫௠௔ൌ݌49.71݄ܴܧܲ௫௠௔23pumpperformancefrompumptestatratedandreducedspeed×motor/driveperformancedataBCVFDMOTORControlsMOTORPUMPBarePump+Motor+ControlsTestProcedureManufacturercanpairitspumpdatawithtestedmotor+VFD data.Manufacturercanmeasurepowerofpump+motor+controlscombo.×manufacturerordefaultmotorefficiencyAMOTORManufacturercanpairitspumpdatawithmanufacturermotordataanddefaultfactorforcontrols.pumpperformancedatafrompumptestatratedspeeddefaultcontrolsperformanceControls×24DeterminingBarePump+Motor+ControlsPERVL•PumpPerformance–Pivaluesarethetestedshaftinputpowertothepump(speedxtorque)ateachloadpointi•i =25%,50%,75%,and100%offlowrateatBEPofthepump•100%ofBEPflowisonlytestedpoint•Equalweighting•MotorPerformance(Losses)–Lratedisthefullloadlossesofamotorthatispairedwiththepumpforpumpssoldwithmotors•ControlsPerformance–Benefitiscapturedincalculationofbareshaftinputpower–Driveefficiency=96%ܲܧܴ௅௏ൌ ߱.ଶହܲ௜௡.ଶହ൅ ߱.ହ଴ܲ௜௡.ହ଴൅ ߱଴.଻ହܲ௜௡଴.଻ହ൅ ߱஻ா௉ܲ௜௡஻ா௉ൌ14ܲ.ଶହ൅ ܮ.ଶହ൅14ܲ.ହ଴൅ ܮ.ହ଴൅14ܲ଴.଻ହ൅ ܮ଴.଻ହ൅14ܲ஻ா௉൅ ܮ஻ா௉WherePi,Liotherthan100%BEPareobtainedfromcontrolloadcurve250501001502002503003500 200 400 600 800 1000 1200 1400

Head (ft)flowrate(GPM)OriginalVFDloadprofileNewVFDLoadProfileExamplePumpCurveBestEfficiencyPoint20%ofBEPHeadRealized potential savingsUnrealized savingsControlLoadCurve•Proposed:loadprofilewithastaticoffset–Headwithflowisoffset:ܪ ൌ ߙܳଶ൅ ܪௌ௧௔௧௜௖–Assume:staticoffsetis20%ofBEPhead(otheroffsetscouldbeconsidered)–GivenQBEPandHBEP,thesystemcurvebecomes:•ܪ ൌ 0.8ுಳಶುொಳಶುమܳଶ൅ 0.2ܪ஻ா௉•ThiscurvepassesthroughbothBEPandthepumpheadinterceptat20%ofHBEP26Controlfactor:VFD‐Calculations•Theflowatinputpowertothebarepumpareavailablefromthetestedpumpperformance:•Usingthecontrolcurve,thebarepumpshaftinputpowerat75%ofBEPflow(660GPM)is:•Appliedtoallratingpointsyieldsthefollowing:ࡼࡼࡱ࡮ࡽ															;ܘܐ	ૡૢ .ૠ ૝ൌࡼࡱ࡮ࡹࡼࡳ	૙૝ૢ ൌࡼ૚ࡼ࢖ࢋ࢈ൌૡ . ૙ࡽࡽ࢖ࢋ࢈૛૛ .૙ ൅ࡽࡽ࢖ࢋ࢈ࡼ૞ૠ.૙૝ૠ. ૢૡ	࢖ࢎൌ૙. ૡࡹࡼࡳ	૞૙ૠࡹࡼࡳ	૙૝ૢ૛൅ ૙. ૛ࡹࡼࡳ	૞૙ૠࡹࡼࡳ	૙૝ૢࡼ૙.ૠ૞ൌ ૝ૠ. ૢૡ	࢖ࢎ૙ . ૡ૙. ૠ૞૛൅ ૙. ૛ ૙. ૠ૞ ൌ ૛૜. ૜ૢ	࢖ࢎLoad Point Flow (GPM) Bare pumpshaftinputpower(hp)QBEP94047.98Q75%70523.39Q50%4709.60Q25%2353.0027Controlfactor:VFD‐Calculations•Assumingthemotorisa95%efficientmotor(asbefore)andthedriveis96%efficient,thecontrolledPER(PERVL)isthen:•ThencalculatePEIVLasaratioofthepumpPERVLandthePERmaxforaminimallycompliantpump:ࡾࡱࡼࡸࢂൌ૛૞ 

. ૙૛૞ 

.	 ൅ ૙࢖ࢎ	૞ૡ . 

	૝૞૛ .૙ ൅ ࢖ࢎ	૜ૠ . 

૚૚૞૛ .૙ ൅ ࢖ࢎ	૜૛ .૟૛࢖ࢎ	ૢ૞ .૛૞ࡾࡱࡼࡸࢂ࢖ࢎ	૞ૡ . ૛૜ൌࡵࡱࡼࡸࢂൌܴܧܲ௅௏ܴܧܲ௫௠௔ൌ݌23.85݄ܴܧܲ௫௠௔28PERCalculationComparisonSummary•PERaccountsforsavingsfromcontrolandfrommoreefficientmotorEquipmentConfiguration PERBarePump49.71Pump+95%Eff.Motor48.97Pump+Motor+VSD23.8529OverviewoftheCalculator•ViewExcelbasedPER_Calculator_v6–Calculatorisbasedonthecalculationmethodjustpresented30BarePump+Motor– TestMethod•Referredtoas“stringtest”inHI14.6–Testsimilartobareshafttestprocedure,exceptmotorinputpower(Pin,i)ismeasureddirectly•Ifmotorefficiencychangessignificantlyfromratedvalue,testedPERwillvaryfromcalculatedvalueMOTORPUMPManufacturercanmeasurepowerofpump+motorcombo.standardizedcontrolsperformanceControls×Pump+motor performancedatafrompumptestatratedspeedൌ ࡾࡱࡼ࣓૞ૠ.૙ࡼ૞ૠ.૙,࢔࢏࣓ ൅ࡼࡱ࡮ࡼࡼࡱ࡮,࢔࢏࣓ ൅૚.૚ࡼ૚.૚,࢔࢏31Stringtestdata(forpump+motor)•InputelectricalpowerwasmeasuredfortheexamplepumpusedforthecalculationofPERinearlierexamplesLoad Point Flow (GPM) Stringtestinputpower(hp)Q110%103453.58QBEP94050.46Q75%70542.71Q50%47035.07Q25%23527.49ൌ ࡾࡱࡼ૚૜൅ ࢖ࢎ	૚ૠ .

૝૛૚૜൅ ࢖ࢎ	૟૝ .૙૞૚૜࢖ࢎ	ૡ ૞.

૞૜ࡾࡱࡼ࢚࢙ࢋ࢚ൌ ૝ૡ. ૢ૛	࢖ࢎࡾࡱࡼࢉ࢒ࢇࢉൌ ૝ૡ. ૢૠ	࢖ࢎ32pumpperformancefrompumptestatratedandreducedspeed×motor/driveperformancedataBCVFDMOTORControlsMOTORPUMPBarePump+Motor+ControlsManufacturercanpairitspumpdatawithtestedmotor+VFD data.Manufacturercanmeasurepowerofpump+motor+controlscombo.×manufacturerordefaultmotorefficiencyAMOTORManufacturercanpairitspumpdatawithmanufacturermotordataanddefaultcontrolscredits.pumpperformancedatafrompumptestatratedspeeddefaultcontrolsperformanceControls×33Calculationissimilartopump+motorapproach,butusecombinedefficiencyofmotor+driveasdeterminedbyAHRI1210:DrivesystemefficiencydeterminedthroughinterpolationofAHRI1210‐testedpoints(forexample,assumevaluestofillmap):DeterminingBarePump+Motor+ControlsPerformance–AHRI12106% 25% 56% 100%131.25 525 1181.25 210025% 45085%89%50% 90088%92%75% 135093% 95%100% 180098%ൌ ࡾࡱࡼ࣓૞૛.ࡼ૞૛.η࢙ࢇࢋ࢓,ࢋ࢛࢜࢘ࢊ࣓ ൅૙૞.૙ࡼ૙૞.૙η࢙ࢇࢋ࢓,ࢋ࢜࢏࢘ࢊ࣓ ൅૞ૠ.૙ࡼ૞ૠ.૙η࢙ࢇࢋ࢓,ࢋ࢜࢏࢘ࢊ࣓ ൅ࡼࡱ࡮ࡼࡼࡱ࡮η࢙ࢇࢋ࢓,ࢋ࢜࢏࢘ࢊSpeed (RPM)Torque(lb-in)34DeterminingBarePump+Motor+ControlsPerformance–AHRI1210LinearlyinterpolatepointsfromAHRItopumploadpointsAssumptions:60hp motor/VFDwitharatedfullloadspeedof1800RPMExamplecalculationforQ75%Given1312.5RPMand1455lb‐inatQ75%,interpolatebetweenefficiencyvaluesfromspeed/torquemapasfollows:ߟ଻ହ%ൌ ߟn଻ହ%, T଻ହ%ൌ93 െ 881350 െ 900∗1312.5 െ 900 ൅ 88 ൅98 െ 932100 െ 1181.25∗1455 െ 1181.25 ൅ 932ߟ଻ହ%ൌ93.54%LoadPointRatedSpeed(RPM)FlowRateTorque(lb‐in)BarePumpInputPower(hp)DriveSystemEfficiencyElec.Power(hp)QBEP1750 9401722 47.98 96.69 49.62Q75%1312.5 7051455 23.39 93.54 25.01Q50%875 4701142 9.60 90.27 10.64Q25%437.5 235856 3.00 87.76 3.4235InterpolatingAHRI1210DriveEfficiencies•Applyingthisforbothspeedandtorqueandforallloadpoints:•Orcandoafulltraintestandusetestedinputpowervalues•NotethatPERtestshouldalwaysbelowerthanPERcalc૞૛ .૙ ൌ ࡾࡱࡼ૞૛ .૙ ൅ ࢖ࢎ	૛૟ ૢ.૝૞૛ .૙ ൅ ࢖ࢎ	૚૙ .૞૛૞૛ .૙ ൅ ࢖ࢎ	૝૟ .૙૚࢖ࢎ	૛૝ .૜ࡾࡱࡼ࢚࢙ࢋ࢚࢖ࢎ	ૠ ૚. ૛૛ൌࡾࡱࡼࢉ࢒ࢇࢉ࢖ࢎ	૞ૡ . ૛૜ൌ36ApplicationofCalculationandTestingBasedMethods•Isphysicaltestingmoreappropriateforsomeequipmentclasseswhileacalculationmethodismoreappropriateforothers?–e.g.ESCCpumps,pumpssoldwithmotorsnotsubjectDOEstandardsTestMethod Pros ConsCalculationMethodRepeatable;LessburdensomeDoes notdifferentiatedifferentcontrolsperformance;Assumptionsregarding changeinmotor/controlsefficiencywithchangingloadrequired;DecreasedaccuracyPhysical TestMethodAccurate;Differentiatesperformanceofdifferent motor/controlsequipmentatfullandpartloadBurdensome;AHRI1210test datanotavailable;