# Commission Regulation (EU) 2017/2400 of 12 December 2017 implementing Regulation (EC) No 595/2009 of the European Parliament and of the Council as regards the determination of the CO2 emissions and fuel consumption of heavy-duty vehicles and amending Directive 2007/46/EC of the European Parliament and of the Council and Commission Regulation (EU) No 582/2011 (Text with EEA relevance), Division 3.3.9: Measurement uncertainty

Extent: E+W+S+N.I.

The part of the calculated total uncertainty UT,loss exceeding 5 % of Tloss or 1 Nm (ΔUT,loss ), whichever value of ΔUT,loss is smaller, shall be added to Tloss for the reported torque loss Tloss,rep . If UT,loss is smaller than 5 % of Tloss or 1 Nm, then Tloss,rep = Tloss .
Tloss,rep = Tloss + MAX (0, ΔUT,loss )
ΔUT,loss = MIN ((UT,loss – 5 % * Tloss ), (UT,loss – 1 Nm))
For each measurement set, the total uncertainty UT,loss of the torque loss shall be calculated based on the following parameters:
(1)Temperature effect
(2)Parasitic loads
(3)Calibration error (incl. sensitivity tolerance, linearity, hysteresis and repeatability)
The total uncertainty of the torque loss (UT,loss ) is based on the uncertainties of the sensors at 95 % confidence level. The calculation shall be done as the square root of the sum of squares (‘Gaussian law of error propagation’).
UT,loss=UT,in2+UT,outigear2
UT,in∕out=2×u2TKC+u2TK0+u2cal+u2para
uTKC=13×wtkcKref×ΔK×Tc
uTK0=13×wtk0Kref×ΔK×Tn
uCal=1×Wcalkcal×Tn
upara=13×wpara×Tn
wpara = senspara * ipara
where:
Tloss Measured torque loss (uncorrected) [Nm]
Tloss,rep Reported torque loss (after uncertainty correction) [Nm]
UT,loss Total expanded uncertainty of torque loss measurement at 95 % confidence level [Nm]
uT,in/out Uncertainty of input/output torque loss measurement separately for input and output torque sensor[Nm]
igear Gear ratio [-]
uTKC Uncertainty by temperature influence on current torque signal [Nm]
wtkc Temperature influence on current torque signal per Kref, declared by sensor manufacturer [%]
uTK0 Uncertainty by temperature influence on zero torque signal (related to nominal torque) [Nm]
wtk0 Temperature influence on zero torque signal per Kref (related to nominal torque), declared by sensor manufacturer [%]
Kref Reference temperature span for uTKC and uTK0, wtk0 and wtkc, declared by sensor manufacturer [K]
ΔKDifference in sensor temperature between calibration and measurement [K]. If the sensor temperature cannot be measured, a default value of ΔK = 15 K shall be used.
Tc Current/measured torque value at torque sensor [Nm]
Tn Nominal torque value of torque sensor [Nm]
ucal Uncertainty by torque sensor calibration [Nm]
Wcal Relative calibration uncertainty (related to nominal torque) [%]
kcal calibration advancement factor (if declared by sensor manufacturer, otherwise = 1)
upara Uncertainty by parasitic loads [Nm]
wpara senspara * ipara
Relative influence of forces and bending torques caused by misalignment [%]
senspara Maximum influence of parasitic loads for specific torque sensor declared by sensor manufacturer [%]; if no specific value for parasitic loads is declared by the sensor manufacturer, the value shall be set to 1,0 %
ipara Maximum influence of parasitic loads for specific torque sensor depending on test setup (A/B/C, as defined below).
A) 10 % in case of bearings isolating the parasitic forces in front of and behind the sensor and a flexible coupling (or cardan shaft) installed functionally next to the sensor (downstream or upstream); furthermore, these bearings can be integrated in a driving/braking machine (e.g. electric machine) and/or in the transmission as long as the forces in the machine and/or transmission are isolated from the sensor. See figure 3.
Figure 3
Test setup A for Option 3
B) 50 % in case of bearings isolating the parasitic forces in front of and behind the sensor and no flexible coupling installed functionally next to the sensor; furthermore, these bearings can be integrated in a driving/braking machine (e.g. electric machine) and/or in the transmission as long as the forces in the machine and/or transmission are isolated from the sensor. See figure 4.
Figure 4
Test setup B for Option 3
C) 100 % for other setups

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Source: https://www.legislation.gov.uk/eur/2017/2400/annex/VI/division/3/division/3.3/division/3.3.9 (the official version)
Page: https://openlegislation.uk/eu-regulation-2017-2400/annex-VI/division-3/division-3.3/division-3.3.9
Contains public sector information licensed under the Open Government Licence v3.0. Source: legislation.gov.uk, The National Archives.