# 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 4.4.6: Uncertainty calculation

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

The total uncertainty UT,loss of the torque loss shall be calculated based on the following parameters:
i.. Temperature effect
ii.. Parasitic loads
iii.. Uncertainty (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 for each applied sensor (e.g. three machine lay out: UT,in, UT,out,1, UTout,2) as the square root of the sum of squares (‘Gaussian law of error propagation’).
U T,loss = U 2 T,in + ∑ U T,out i gear 2 U T,in ∕ out = 2 × U 2 TKC + U 2 TK 0 + U 2 cal + U 2 para U TKC = 1 3 × w tkc K ref × Δ K × T c U TK 0 = 1 3 × w tk 0 K ref × Δ K × T n U cal = 1 × w cal k cal × T n U para = 1 3 × w para × T n wpara = senspara * ipara
where:
UT,in/out Uncertainty of input/output torque loss measurement separately for input and output torque; [Nm]
igear Axle 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 tkc and tk0, declared by sensor manufacturer; [°C]
ΔK Absolute difference in sensor temperature measured at torque sensor between calibration and measurement; If the sensor temperature cannot be measured, a default value of ΔK = 15 K shall be used [°C]
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 set-up as indicated in section 4.2.3 and 4.2.4 of this annex.

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Source: https://www.legislation.gov.uk/eur/2017/2400/annex/VII/division/4/division/4.4/division/4.4.6 (the official version)
Page: https://openlegislation.uk/eu-regulation-2017-2400/annex-VII/division-4/division-4.4/division-4.4.6
Contains public sector information licensed under the Open Government Licence v3.0. Source: legislation.gov.uk, The National Archives.

