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News Imprint Home Algorithms Temperature Measuring temperature: Platinum Resistance thermometers 24 | 06 | 2015 Monday, 06 December 2010 13:45 search... Main Menu Home Algorithms Bioinformatics Dotplots Matrices Network Seawater Similarity Strings Temperature Projects Software Tutorials Links Feed Display heise online News Nachrichten nicht nur aus der Welt der Computer Google Play Music jetzt auch mit GratisStreams Silk Road: Korrupte Drogenermittler haben gestanden Russland erklärt ReactOS zu favorisierter WindowsAlternative Noch mehr HDMIStick PCs mit Windows 8.1 VMware mit eigenem Single Signon Hoffen auf das nächste Zalando: Rocket Aktionäre billigen Kapitalerhöhung Digitaler Assistent: Verkaufsstart für Amazon Echo in den USA Batman Arkham Knight: SuperheldenEpos mit PerformanceProblemen FacebookTool spürt XARALücken in OS X auf Nordkorea blockiert angeblich Instagram Latest News Conversions among international temperature scales Measuring temperature: Platinum Resistance thermometers Measuring temperature: Planck's law Introduction to temperature; measuring and scales RBasics and statistics Popular Jaccard similarity Inroduction to dotplots BrayCurtis dissimilarity Conversion between conductivity and PSS78 salinity Measuring temperature: Platinum Resistance thermometers MEASURING TEMPERATURE: PLATINUM RESISTANCE THERMOMETERS Algorithms Temperature Written by Administrator Platinum resistance thermometers Within a limited range several metals and alloys have an approximately linear resistivity alteration depending on temperature. Resistance thermometers are sensors that allow determining temperature by measuring the electrical resistance of the sensor, assuming that it is in thermal equilibrium with the medium to measure. Thus, respective sensors can be used within their specific range to calculate temperature by polynomial approximation. Platinum has a positive temperature coefficient, meaning that electrical resistance increases with raising temperature. Platinum Resistance Thermometers (PRT) are often manufactured of coiled platinum wire or as film thermometers with a layer of platinum applied on non conductive substrates. They are used in the range 200°C ≤ t ≤ 850°C. Outer these bounds polynomial approximation is not assured and higher temperatures are often problematic for proper use. Depending on the application the platinum freely extends into the medium to measure, is mounted on non conductive materials or encapsulated in housings for rugged use. PRT sensors are characterised by their specific electrical resistance R 0 at 0°C. The calibration is easily accomplished by length and thickness of the used wire or coating area and thickness. Common types are: Pt100 (R 0 = 100Ω) Pt200 (R 0 = 200 Ω) Pt500 (R 0 = 500Ω) Pt1000 (R 0 = 1000Ω) Pt3000 (R 0 = 3000Ω) Pt6000 (R 0 = 6000Ω) Pt9000 (R 0 = 9000Ω) The advantage of PRT’s is their exchangeability without necessitating recalibration. To measure temperature the easy measurable property of the electrical resistance needs to be gauged. Within a given tolerance this resistance can be converted to temperature for the respective PRT type. Tolerances according to DIN IEC 751/DIN EN 60751 (1995) are: Class A: ±(0.15 + 0.002*|ϑ|) °C Class B: ±(0.30 + 0.005*|ϑ|) °C Class C: ±(1.20 + 0.005*|ϑ|) °C Class 1/3: ±[1/3*(0.3 + 0.005*|ϑ|)] °C Class 1/5: ±[1/5* (0.3 + 0.005*|ϑ|)] °C Class 1/10: ±[1/10*(0.3+ 0.005*|ϑ|)] °C As electrical resistance of PRT’s can become very small (e.g. 18.53 Ohm at 200°C for a Pt100 sensor) resistance of the wires used to cable the sensor may be significant. Another point to pay attention for is selfheating of the sensor due to a continuous measurement current. Equation As PRT’s are not completely linear polynomial approximation is required. In the range 200°C ≤ ϑ < 0°C electrical resistance at temperature t is calculated according to the polynomial: In the range of 0°C ≤ ϑ ≤ 850°C coefficient c is set to zero and the polynomial becomes: For conversion of electrical resistance to temperature the above equations can be used after solving for t: Polynomial coefficients for conversion of resistance to temperature, or vice versa, from platinum resistance thermometers according to IPTS68 and ITS90 scale. Coefficient IPTS68 ITS90 a +3.90802E03 +3.9083E03 b 5.80195E07 5.7750E07 c 4.27350E12 4.1830E12 Algorithm Sponsored Links

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    MEASURINGTEMPERATURE:PLATINUMRESISTANCETHERMOMETERSAlgorithmsTemperatureWrittenbyAdministrator

    PlatinumresistancethermometersWithin a limited range several metals and alloys have an approximately linear resistivity alteration depending on temperature.Resistance thermometers are sensors that allow determining temperature by measuring the electrical resistance of the sensor,assumingthatitisinthermalequilibriumwiththemediumtomeasure.Thus,respectivesensorscanbeusedwithintheirspecificrangetocalculatetemperaturebypolynomialapproximation.

    Platinum has a positive temperature coefficient, meaning that electrical resistance increases with raising temperature. PlatinumResistanceThermometers (PRT)areoftenmanufacturedof coiledplatinumwireor as film thermometerswith a layer of platinumappliedonnonconductivesubstrates.Theyareusedintherange200Ct850C.Outertheseboundspolynomialapproximationisnotassuredandhighertemperaturesareoftenproblematicforproperuse.Dependingontheapplicationtheplatinumfreelyextendsintothemediumtomeasure,ismountedonnonconductivematerialsorencapsulatedinhousingsforruggeduse.PRTsensorsarecharacterisedbytheirspecificelectricalresistanceR0at0C.Thecalibrationiseasilyaccomplishedbylengthandthicknessoftheusedwireorcoatingareaandthickness.Commontypesare:

    Pt100(R0=100)Pt200(R0=200)Pt500(R0=500)Pt1000(R0=1000)Pt3000(R0=3000)Pt6000(R0=6000)Pt9000(R0=9000)

    TheadvantageofPRTs is theirexchangeabilitywithoutnecessitatingrecalibration.Tomeasuretemperaturetheeasymeasurablepropertyoftheelectricalresistanceneedstobegauged.WithinagiventolerancethisresistancecanbeconvertedtotemperaturefortherespectivePRTtype.TolerancesaccordingtoDINIEC751/DINEN60751(1995)are:

    ClassA:(0.15+0.002*||)CClassB:(0.30+0.005*||)CClassC:(1.20+0.005*||)CClass1/3:[1/3*(0.3+0.005*||)]CClass1/5:[1/5*(0.3+0.005*||)]CClass1/10:[1/10*(0.3+0.005*||)]C

    AselectricalresistanceofPRTscanbecomeverysmall(e.g.18.53Ohmat200CforaPt100sensor)resistanceofthewiresusedtocablethesensormaybesignificant.Anotherpointtopayattentionforisselfheatingofthesensorduetoacontinuousmeasurementcurrent.

    EquationAsPRTs are not completely linear polynomial approximation is required. In the range 200C

  • TheaboveequationsareimplementedintwofunctionsfortemperaturesonITS90scale.ForIPTS68coefficientsneedtobechangedtotherespectivevaluestabulatedintable(XYZ).Itcanbeeasilyseenthatconversionissenseless,ifR0=0.Thusbothfunctionscheckforthiscase.

    Thefirstfunctionistemp_PRTResistanceValue.ItcalculateselectricalresistanceofaPRToftypeR0()attemperatureaTemp(C,ITS90). IfaTemp is notwithin thedefined rangeof 200C to+850C function returnsFALSEanda resistancevalueof 0 in thevariableResistance.Otherwiseelectricalresistancewillbecalculated.DependingonthevalueinaTemprespectiveequation(XYZ)ischosenforaTempvalues0Candequation(XYZ)foraTempvalues=200)And(aTemp=0THenBeginResistance:=R0*((5.775E7*aTemp+3.9083E3)*aTemp+1);endElseBeginResistance:=R0*((((aTemp100)*4.183E12*aTemp5.775E7)*aTemp+3.9083E3)*aTemp+1);end;endElseBegin//otherwisereturnFalseanddefinedResistancetemp_PRTResistanceValue:=False;Resistance:=0;end;end;

    Functiontemp_PRTTemperatureValue(aResistance,R0:Double;VarTemperature:Double):Boolean;//Thefunctiontemp_PRTTemperatureValuecalculatesthetemperature//measuredbyaPlatinumResistanceThermometer(PRT)atgiven//electricalresistanceanddefinedresistanceR0at0Cfora//PRTelement.E.g.foraPt1000elementresistanceR0=1000.//FunctionreturnsTRUEifaResistanceiswithintheranges//polynomialapproximationaredefined,therespectivetemperature//forresistanceaResistanceisfoundinTemperature.////Units://aResistanceInputelectricalresistanceOhm//R0TypeofPRT(electricalresistanceat0C)Ohm//TemperatureReturnedITS90TemperatureC////References://PrestonThomas&Quinn1990Techniquesforapproximating//theinternationaltemperaturescaleof1990Bureau//InternationaldesPoidsetMesures,2ndEdition1997,//respectingtheamendmentsofthe2ndEdition////(c)Dr.JanSchulz,18.December2008,www.code10.infoVarMinResistance:Double;MaxResistance:Double;Begin//expectworstcasetemp_PRTTemperatureValue:=False;Temperature:=0;

    //findminandmaxresistancevaluesfordefinedrangeIftemp_PRTResistanceValue(200,R0,MinResistance)Andtemp_PRTResistanceValue(+850,R0,MaxResistance)THenBegin//isaResitancewithindefinedrangeofpolynomialapproximationIf(aResistance>=MinResistance)And(aResistance

  • LastUpdatedonFriday,18March201118:32

    Sqrt(R0*R0*+3.9083E3*3.9083E34*R0*5.775E7*(R0aResistance)))/(2*R0*5.775E7);//andnotifythatweexpectreliableresultstemp_PRTTemperatureValue:=True;end;end;end;

    References

    DINIEC751/DINEN60751(1995):IndustriellePlatinWiderstandsthermometerundPlatinMewiderstnde.GermanEditionHD459S2,1988GermanNorm,December1990EN60751+A2,1995.

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