[Header] Format=SMU ver=3 appl=GUMWB32 MR=0 FUEB=0 [Title] Title='Calibration of a type N thermocouple at 1000 °C' Description=6 Description[0]='A type N thermocouple is calibrated by comparison with two reference' Description[1]='thermocouples of type R in a horizontal furnace at a temperature of 1000 °C.' Description[2]='The emfs generated by the thermocouples are measured with a digital voltmeter' Description[3]='through a selector/reversing switch. All thermocouples have their reference' Description[4]='junctions at 0 °C. The thermocouple to be calibrated is connected to the' Description[5]='reference point using compensating cables.' [Model] Model=2 Model[0]='V_X = V_iX + \delta\V_iX1 + \delta\V_iX2 + \delta\V_R + \delta\V_LX + \delta\t_X / C_X - \delta\t_0X / C_X0;' Model[1]='\delta\t_X = t_X - t_0;' [Components] CompOrder=3 Comp=12 Comp[0]=V_X_ Comp[1]=V_iX_ Comp[2]=\delta\V_iX1_ Comp[3]=\delta\V_iX2_ Comp[4]=\delta\V_R_ Comp[5]=\delta\V_LX_ Comp[6]=\delta\t_X_ Comp[7]=C_X_ Comp[8]=\delta\t_0X_ Comp[9]=C_X0_ Comp[10]=t_X_ Comp[11]=t_0_ [COMP 0] Type=Result Definition='emf of the thermocouple to be calibrated' Unit='µV' Description=0 Fcov=2 NomUnit= UncUnit= CovID=1 UncID=0 Vnom=36267.2307692308 Ustd=24.9662506362208 Neff=52 HB=1 HC=0 HR=1 IO=0 [COMP 1] Type=TypAPooled Definition='indication of the voltmeter' Unit='µV' Description=8 Description[0]='MEASUREMENTS: The indications of the voltmeter are precalculated to reduce the' Description[1]='effects of temperature drift in the thermal source and parasitic thermal' Description[2]='voltages (see EAL-R2-S1:S5.15). The readings are combined to one observation' Description[3]='only, which is the voltage of the thermocouple to be cailbrated. In order to' Description[4]='evaluate the uncertainty of measurement associated with the observation, a' Description[5]='series of ten measurements has been previously undertaken at the same' Description[6]='temperature of operation. It gave a pooled estimate of standard deviation for' Description[7]='the voltage of the thermocouple.' Observations=1 Sp=1.6 Neff=9 Reading=1 Reading[0]=36248 Mode=0 MinObs=1 [COMP 2] Type=TypBNormal Definition='voltage correction obtained from the calibration of the voltmeter' Unit='µV' Description=4 Description[0]='CALIBRATION OF THE VOLTMETER: The voltmeter has been calibrated. Corrections to' Description[1]='the measured voltages are made to all results. The calibration certificate' Description[2]='gives a constant expanded uncertainty of measurement for voltages smaller than' Description[3]='50 mV of U=2 µV (coverage factor k=2).' Vnom=0,0 Uexp=2 Fcov=2 [COMP 3] Type=TypBRectang Definition='oltage corrections due to the limited resolution of the voltmeter' Unit='µV' Description=2 Description[0]='RESOLUTION OF THE VOLTMETER: A 4½ digit microvoltmeter has been used in its 10' Description[1]='mV range resulting in resolution limits of ±0,5 mV at each indication.' Vnom=0.0 Hlim=0,5 [COMP 4] Type=TypBRectang Definition='voltage correction due to contact effects of the reversing switch' Unit='µV' Description=2 Description[0]='PARASITIC VOLTAGES: Residual parasitic offset voltages due to the switch' Description[1]='contacts have been estimated to be zero within ±2 µV.' Vnom=0.0 Hlim=2.0 [COMP 5] Type=TypBRectang Definition='voltage correction due to the compensating cables' Unit='µV' Description=3 Description[0]='COMPENSATING CABLES: The compensating cables have been investigated in the' Description[1]='range 0 °C to 40 °C. From this the voltage differences between the cables and' Description[2]='the thermocouple wires are estimated to be within ±5 µV.' Vnom=0.0 Hlim=5 [COMP 6] Type=Temp Definition='deviation of the temperature of the calibration point from the temperature of the furnace' Unit='°C' Description=2 Description[0]='CORRECTION OF THE CALIBRATION POINT: Deviation of the temperature of the' Description[1]='calibration point from the temperature of the furnace.' Fcov=2 NomUnit= UncUnit= CovID=0 UncID=0 Vnom=0.5 Ustd=0.641 Neff=50 HB=0 HC=0 HR=0 IO=0 [COMP 7] Type=Const Definition='sensitiviy of the thermocouple for voltage at the measuring at the temperature of 1000 °C ' Unit='°C/µV' Description=2 Description[0]='VOLTAGE SENSITIVITIES: The voltage sensitivities of the thermocouples have been' Description[1]='taken from reference tables.' Vnom=0,026 [COMP 8] Type=TypBRectang Definition='temperature correction due to the deviation of the reference temperature of 0 °C ' Unit='°C' Description=2 Description[0]='REFERENCE TEMPERATURES: The temperature of the reference point of each' Description[1]='thermocouple is known to be 0 °C within ±0,1 °C.' Vnom=0.0 Hlim=0.1 [COMP 9] Type=Const Definition='sensitiviy of the thermocouple for voltage at the measuring at the temperature of 0 °C ' Unit='°C/µV' Description=2 Description[0]='VOLTAGE SENSITIVITIES: The voltage sensitivities of the thermocouples have been' Description[1]='taken from reference tables.' Vnom=0,039 [COMP 10] Type=TypBNormal Definition='temperature of the furnace' Unit='°C' Description=2 Description[0]='TEMPERATURE OF THE FURNACE: The temperature of the furnace is evaluated in a' Description[1]='second analysis named temperature' Vnom=1000.5 Uexp=0.641 Fcov=1.0 [COMP 11] Type=Const Definition='nominal termperature of the calibration point' Unit='°C' Description=2 Description[0]='CALIBRATION POINT: The nominal termperature of the calibration point is 1000.0' Description[1]='°C.' Vnom=1000.0 [Correlations] Description=0