injector pulse width
TRANSCRIPT
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sinceijustwentthoughthis,ithoughtishouldwritedownwhatilearnedbeforeiforgotit.hopefullyitwillhelpsomepeople...
pleaseacceptmyapologiesbeforehandforhowlongandramblingitis...soheregoes...
theinjectortimingtableisbasedoncrankdegrees,andspecifiesthedegreeat
whichtheinjectorpulseshouldend.soatwhatweisawaytofigureoutaprocessthatgivesus,foragivenrpmandload,whatcamdegreetheinjectorpulseshouldend.notethatcrankdegreesgofrom0-720insteadoffrom0-360becausethecrankrotates2timesforeachrevolutionofthecam.
whenthereislittleornooverlapbetweentheclosingoftheexhaustvalveandtheopeningoftheintakevalve,itmaybedesirabletoactuallystartinjectingthefuelbeforetheintakevalveopens.inthiscase,thefuelissquirtedontothebackoftheclosedintakevalve,becausethatmayhelpatomizethefuel.
butifthereisalotofvalveoverlap,thenthatapproachisnotasdesirable,becausewhentheintakevalveopens,someofthefuelthatwaswaitingtogointo
thecylinderwillgetmixedinwiththeexhaust(andejectedfromthecylinder)andthereforenotbeburned,potentiallyresultinginaleancondition.
soafactorindecidinghowearlytostarttheinjectorsmaybehowmuchoverlapthereisinyourcam.
herearemythoughtsonaprocesstodeterminewhatvaluestoputintheinjectortimingtable...
beforewecanpickanendingdegree,weneedawaytodeterminehowmanydegreestheinjectorneedstoprovidetherightamountoffuel.inordertodothat,weneedawaytofigureouthowmuchfuelisneeded.onceweknowthat,wecandeterminehowmanymillisecondstheinjectorneedstobeopentoprovidethefuel.
thenneedtobeabletofigureout,foragivenrpm,howmanydegreesthecamshaftwillturnduringthetimetheinjectorisopen.then,knowingthedegreesatwhichthevalvesopenandclose,wecanfinallypickreasonableendingdegreesfortheinjectortiming.
foracertainrpmandload,wecanestimatewhattheinjectorpulsewidthwouldbe.forexample,supposewehada410with42#injectorsspinningat3000rpmunder50%load.whatwouldtheestimatedpulsewidthbe?
onecylinderhasamaximumvolumeof410/8,or51.25ci.sincethevolumetricefficiencyoftheengineisnot100%,forourexample,let'suse.85astheVEfactor,whichmeansthatagivencylinderwillendupwithamaximumof51.25*.85=
43.5625ciofair.sinceourexampleisat50%load,thatwouldbe43.5625*.50=21.78125ci.thisistheestimatedamountofair(incubicinches)eachcylindershouldreceivepercycle.
thereisaconversionfactorthatsaysonecubicfootofaircontains.075lbsofair.soinourexample,wehave21.78125/(12*12*12)=0.01260489cubicfeetofofair.sowehave0.01260489*.075=0.00094536675lbsofair
nowthatweknowwehave0.00094536675lbsofairinthecylinder,wecandeterminehowmuchfuelweneed...usingthestandardair/fuelratioof14.67,wewouldneed0.00094536675/14.64=.0000645742316lbsoffuel.
sinceinjectorsaregiveninlbsperhour,andpulsewidthsareinmilliseconds,
weneedtoconverttolbsperms.sofor42#injectors,wehave42/(60minutes*60seconds*1000milliseconds)=0.0000116666667lbsoffuelperms.
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sotoget.0000644421779lbsoffuel,wewouldopentheinjectorsforapulswidthof.0000645742316/0.0000116666667=5.53493412ms.butsincethereisasmalldelay(about.05ms)beforetheinjectorsactuallystartsquirtingthefuel,letsadd.05tothepw,gettingabout5.58forthedesiredinjectorpulsewidth.
noticethatifwefigureoutthepwforthecasewhereloadis100%(WOT),thenwecanjustmultiplythatbytheloadlatertosimplifythings.let'sdothathe
re:
maxairinlbs:(51.25*.85*.075)/(12*12*12)=0.00189073351lbsairfuelneededformaxairabove:0.00189073351/14.67=0.000128884357lbsfuelfuelinlbsperms:(42/360000)=0.0000116666667msneededtodelivertheabovefuel:(0.000128884357/0.0000116666667)=11.05msnotethatwewillneedtoaddthe.05msdelaytothepulsewidthafterfactoringintheload...
so11.09msisneededtodeliverthemostfueltheinjectershouldhavetodeliver.ofcourse,thiswillbeslightlyhigherifwewanttheafrtobelower.like
whenatWOTforexample.
wewillmultiplythistotheloadlater...
ok,wearehalfwaythere...nowwegettofigureouthowmanydegreesthecrankwillturnduringthat5.58ms.thatdependsonhowfasttheengineisturning.
inourexample,theengineisturning3000rpm.sincethereare360degreesinarevolution,60secondsperminuteand1000mspersecond,thenwehavethecrankturningat(360*3000)/(60*1000)=18degreesperms.soin5.58ms,thecrankturns18*5.58=100.44degrees.
noticethattheonlyvariableaboveistherpm,soforagivenrpmwecandothi
stogetthedegreesperms:
360*(rpm)/(60*1000)=360*rpm/60000=rpm*(360/60000)=rpm*0.006
we'llusethislatertoo...
solet'ssaythatourcamhasanintakelobecenterof110,alsaof112,adurationof230at.050"and290totalduration.sohowdoesthattranslateintocrankdegrees?here'show:
bydefinition,crankdegrees0-360refertothefirstrevolutionofthecrank,anddegrees360-720refertothesecondrevolutionofthecrank.
intakeeventsareoffsetsfromtopdeadcenter(TDC)orbottomdeadcenter(BDC)ofthecylinderduringthephaseinquestion.fortheintakevalveevents,TDCisatdegree360.
sincetheintakelobehasacenterof110,thatmeansthevalveisopenitshighestat360+110=470degrees.adurationof290meansthatthevalveopensat470-(290/2)=325andclosesat470+(290/2)=615degrees.similarly,thevalveisat.050"orhigherfromdegree(470)+/-(230/2),or355and585degrees.
alsaof112meansthattheexhaustlobecenteris112*2degreesbeforetheintakelobecenter.
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sowithalsaof112,ourexhaustvalveisfullyopen(theexhaustlobecenter)at470-(112*2)=246degrees.doingthesamecalcsasabove,wehaveopen/closeat101and391,andat.050"theopen/closeeventsare131and361degrees.
nownoticethattheexhaustclosesat391,andtheintakeopensat325.sobothvalvesareopenfor391-325=66degrees.thisisthetotaloverlap.similarly,at.050"thereisanoverlapof6degrees.inthiscase,iwouldprobablywantt
hefueltostartinjectingwhentheexhaustvalvecloses,orataboutdegree390.
nowwearealmostthere...foragivenloadandrpm,wecanfigureouthowmuchmsofinjectorweneed,andhowmanydegreesthatmsneeds.nowallwehavetodoistiethattothecameventsforourcamandwecanfillinthetablewithvaluesthatshouldbefairlyreasonable.
tofinishoffourexample,withthe410ciengineand42#injectors,50%loadat3000rpmwithourcamasabove,thecalculationforthatcellwouldbe...
theneededinjectorpwwouldbe:11.05*.50+.05=5.595ms
thecamrotationfor5.595msat3000rpmwouldbe:3000*.006*5.595=101degrees(rounded)ifthepwstartswhentheexhaustvalvecloses...theinjectorfiresfromdegree390thru491(390+101)
so491shouldbeafairlyreasonablevalueforthatcell.