{
  "url": "https://openlegislation.uk/eu-regulation-2017-1151/annex-IIIA/appendix-4",
  "json_url": "https://openlegislation.uk/eu-regulation-2017-1151/annex-IIIA/appendix-4.json",
  "legislation": "eur/2017/1151",
  "legislation_title": "Commission Regulation (EU) 2017/1151 of 1 June 2017 supplementing Regulation (EC) No 715/2007 of the European Parliament and of the Council on type-approval of motor vehicles with respect to emissions from light passenger and commercial vehicles (Euro 5 and Euro 6) and on access to vehicle repair and maintenance information, amending Directive 2007/46/EC of the European Parliament and of the Council, Commission Regulation (EC) No 692/2008 and Commission Regulation (EU) No 1230/2012 and repealing Commission Regulation (EC) No 692/2008 (Text with EEA relevance)",
  "legislation_url": "https://openlegislation.uk/eu-regulation-2017-1151",
  "path": "annex/IIIA/appendix/4",
  "kind": "appendix",
  "number": "4",
  "heading": null,
  "text": "Determination of emissions\n1.\nINTRODUCTION\nThis Appendix describes the procedure to determine the instantaneous mass and particle number emissions [g/s; #/s] that shall be used for the subsequent evaluation of an RDE trip and the calculation of the final emission result as described in Appendix 6.\n2.\nSYMBOLS, PARAMETERS AND UNITS\n%per cent\n<smaller than\n#/snumber per second\nαmolar hydrogen ratio (H/C)\nβmolar carbon ratio (C/C)\nγmolar sulphur ratio (S/C)\nδmolar nitrogen ratio (N/C)\nΔtt,itransformation time t of the analyser [s]\nΔtt,mtransformation time t of the exhaust mass flow meter [s]\nεmolar oxygen ratio (O/C)\nρedensity of the exhaust\nρgasdensity of the exhaust component ‘gas’\nλexcess air ratio\nλiinstantaneous excess air ratio\nA/Fststoichiometric air-to-fuel ratio [kg/kg]\n°Cdegrees centigrade\ncCH4concentration of methane\ncCOdry CO concentration [%]\ncCO2dry CO2 concentration [%]\ncdrydry concentration of a pollutant in ppm or per cent volume\ncgas,iinstantaneous concentration of the exhaust component ‘gas’ [ppm]\ncHCwwet HC concentration [ppm]\ncHC(w/NMC)HC concentration with CH4 or C2H6 flowing through the NMC [ppmC1]\ncHC(w/oNMC)HC concentration with CH4 or C2H6 bypassing the NMC [ppmC1]\nci,ctime-corrected concentration of component i [ppm]\nci,rconcentration of component i [ppm] in the exhaust\ncNMHCconcentration of non-methane hydrocarbons\ncwetwet concentration of a pollutant in ppm or per cent volume\nEEethane efficiency\nEMmethane efficiency\nggramme\ng/sgramme per second\nHaintake air humidity [g water per kg dry air]\ninumber of the measurement\nkgkilogramme\nkg/hkilogramme per hour\nkg/skilogramme per second\nkwdry-wet correction factor\nmmetre\nmgas,imass of the exhaust component ‘gas’ [g/s]\nqmaw,iinstantaneous intake air mass flow rate [kg/s]\nqm,ctime-corrected exhaust mass flow rate [kg/s]\nqmew,iinstantaneous exhaust mass flow rate [kg/s]\nqmf,iinstantaneous fuel mass flow rate [kg/s]\nqm,rraw exhaust mass flow rate [kg/s]\nrcross-correlation coefficient\nr2coefficient of determination\nrhhydrocarbon response factor\nrpmrevolutions per minute\nssecond\nugasu value of the exhaust component ‘gas’\n3.\nTIME CORRECTION OF PARAMETERS\nFor the correct calculation of distance-specific emissions, the recorded traces of component concentrations, exhaust mass flow rate, vehicle speed, and other vehicle data shall be time corrected. To facilitate the time correction, data which are subject to time alignment shall be recorded either in a single data recording device or with a synchronised timestamp following point 5.1 of Appendix 1. The time correction and alignment of parameters shall be carried out by following the sequence described in points 3.1 to 3.3.\n3.1.\nTime correction of component concentrations\nThe recorded traces of all component concentrations shall be time corrected by reverse shifting according to the transformation times of the respective analysers. The transformation time of analysers shall be determined according to point 4.4 of Appendix 2:\nci,c t− Δtt,i=ci,r twhere:\nci,cis the time-corrected concentration of component i as function of time t\nci,ris the raw concentration of component i as function of time t\nΔtt,iis the transformation time t of the analyser measuring component i\n3.2.\nTime correction of exhaust mass flow rate\nThe exhaust mass flow rate measured with an exhaust flow meter shall be time corrected by reverse shifting according to the transformation time of the exhaust mass flow meter. The transformation time of the mass flow meter shall be determined according to point 4.4. of Appendix 2:\nqm,c t− Δtt,m=qm,r twhere:\nqm,cis the time-corrected exhaust mass flow rate as function of time t\nqm,ris the raw exhaust mass flow rate as function of time t\nΔtt,mis the transformation time t of the exhaust mass flow meter\nIn case the exhaust mass flow rate is determined by ECU data or a sensor, an additional transformation time shall be considered and obtained by cross-correlation between the calculated exhaust mass flow rate and the exhaust mass flow rate measured following point 4 of Appendix 3.\n3.3.\nTime alignment of vehicle data\nOther data obtained from a sensor or the ECU shall be time-aligned by cross-correlation with suitable emission data (e.g., component concentrations).\n3.3.1.\nVehicle speed from different sources\nTo time align vehicle speed with the exhaust mass flow rate, it is first necessary to establish one valid speed trace. In case vehicle speed is obtained from multiple sources (e.g., the GPS, a sensor or the ECU), the speed values shall be time aligned by cross-correlation.\n3.3.2.\nVehicle speed with exhaust mass flow rate\nVehicle speed shall be time aligned with the exhaust mass flow rate by cross-correlation between the exhaust mass flow rate and the product of vehicle speed and positive acceleration.\n3.3.3.\nFurther signals\nThe time alignment of signals whose values change slowly and within a small value range, e.g. ambient temperature, can be omitted.\n4.\nCOLD START\nCold start for the purposes of RDE is the period from the test start until the point when the vehicle has run for 5 minutes. If the coolant temperature is determined, the cold start period ends once the coolant is at least 70 °C for the first time but no later than 5 minutes after test start.\n5.\nEMISSION MEASUREMENTS DURING STOP OF THE COMBUSTION ENGINE\nAny instantaneous emissions or exhaust flow measurements obtained while the combustion engine is deactivated shall be recorded. In a separate step, the recorded values shall afterward be set to zero by the data post processing. The combustion engine shall be considered as deactivated if two of the following criteria apply: the recorded engine speed is < 50 rpm; the exhaust mass flow rate is measured at < 3 kg/h; the measured exhaust mass flow rate drops to < 15 % of the typical steady-state exhaust mass flow rate at idling.\n6.\nCONSISTENCY CHECK OF VEHICLE ALTITUDE\nIn case well-reasoned doubts exist that a trip has been conducted above of the permissible altitude as specified in point 5.2 of this Annex and in case altitude has only been measured with a GPS, the GPS altitude data shall be checked for consistency and, if necessary, corrected. The consistency of data shall be checked by comparing the latitude, longitude and altitude data obtained from the GPS with the altitude indicated by a digital terrain model or a topographic map of suitable scale. Measurements that deviate by more than 40 m from the altitude depicted in the topographic map shall be manually corrected and marked.\n7.\nCONSISTENCY CHECK OF GPS VEHICLE SPEED\nThe vehicle speed as determined by the GPS shall be checked for consistency by calculating and comparing the total trip distance with reference measurements obtained from either a sensor, the validated ECU or, alternatively, from a digital road network or topographic map. It is mandatory to correct GPS data for obvious errors, e.g., by applying a dead reckoning sensor, prior to the consistency check. The original and uncorrected data file shall be retained and any corrected data shall be marked. The corrected data shall not exceed an uninterrupted time period of 120 s or a total of 300 s. The total trip distance as calculated from the corrected GPS data shall deviate by no more than 4 % from the reference. If the GPS data do not meet these requirements and no other reliable speed source is available, the test results shall be voided.\n8.\nCORRECTION OF EMISSIONS\n8.1.\nDry-wet correction\nIf the emissions are measured on a dry basis, the measured concentrations shall be converted to a wet basis as:\nwhere:\ncwet=kw× cdrycwetis the wet concentration of a pollutant in ppm or per cent volume\ncdryis the dry concentration of a pollutant in ppm or per cent volume\nkwis the dry-wet correction factor\nThe following equation shall be used to calculate kw:\nkw=11+ α× 0,005× cco2+ cco− kw1× 1,008where:\nkw1=1,608× Ha1000+1,608× Hawhere:\nHais the intake air humidity [g water per kg dry air]\ncCO2is the dry CO2 concentration [%]\ncCOis the dry CO concentration [%]\nαis the molar hydrogen ratio\n8.2.\nCorrection of NOx for ambient humidity and temperature\nNOx emissions shall not be corrected for ambient temperature and humidity.\n8.3.\nCorrection of negative emission results\nNegative intermediate results shall not be corrected. Negative final results shall be set to zero.\n8.4.\nCorrection for extended conditions\nThe second-by second emissions calculated in accordance with this Appendix may be divided by a value of 1,6 solely for the cases laid down in points 9.5 and 9.6.\nThe corrective factor of 1,6 shall be applied only once. The corrective factor of 1,6 applies to pollutant emissions but not to CO2.\n9.\nDETERMINATION OF THE INSTANTANEOUS GASEOUS EXHAUST COMPONENTS\n9.1.\nIntroduction\nThe components in the raw exhaust shall be measured with the measurement and sampling analysers described in Appendix 2. The raw concentrations of relevant components shall be measured in accordance with Appendix 1. The data shall be time corrected and aligned in accordance with point 3.\n9.2.\nCalculating NMHC and CH4 concentrations\nFor methane measurement using a NMC-FID, the calculation of NMHC depends on the calibration gas/method used for the zero/span calibration adjustment. When a FID is used for THC measurement without a NMC, it shall be calibrated with propane/air or propane/N2 in the normal manner. For the calibration of the FID in series with a NMC, the following methods are permitted:\n(a)the calibration gas consisting of propane/air bypasses the NMC;\n(b)the calibration gas consisting of methane/air passes through the NMC.\nIt is strongly recommended to calibrate the methane FID with methane/air through the NMC.\nIn method (a), the concentrations of CH4 and NMHC shall be calculated as follows:\ncCH4=cHCw∕ oNMC×1− EM− cHCw∕NMC EE− EMcNMHC=cHCw∕ NMC− cHCw∕ oNMC×1− EErh× EE− EMIn method (b), the concentration of CH4 and NMHC shall be calculated as follows:\ncCH4=cHCw∕ NMC× rh×1− EM− cHCw∕ oNMC×1− EErh× EE− EMcNMHC=cHCw∕ oNMC×1− EM− cHCw∕ NMC× rh×1− EM EE− EMwhere:\ncHC(w/oNMC)is the HC concentration with CH4 or C2H6 bypassing the NMC [ppmC1]\ncHC(w/NMC)is the HC concentration with CH4 or C2H6 flowing through the NMC [ppmC1]\nrhis the hydrocarbon response factor as determined in point 4.3.3.(b) of Appendix 2\nEMis the methane efficiency as determined in point 4.3.4.(a) of Appendix 2\nEEis the ethane efficiency as determined in point 4.3.4(b) of Appendix 2\nIf the methane FID is calibrated through the cutter (method b), then the methane conversion efficiency as determined in point 4.3.4.(a) of Appendix 2 is zero. The density used for calculating the NMHC mass shall be equal to that of total hydrocarbons at 273,15 K and 101,325 kPa and is fuel-dependent.\n10.\nDETERMINATION OF EXHAUST MASS FLOW RATE\n10.1.\nIntroduction\nThe calculation of instantaneous mass emissions according to points 11 and 12 requires determining the exhaust mass flow rate. The exhaust mass flow rate shall be determined by one of the direct measurement methods specified in point 7.2 of Appendix 2. Alternatively, it is permissible to calculate the exhaust mass flow rate as described in points 10.2 to 10.4.\n10.2.\nCalculation method using air mass flow rate and fuel mass flow rate\nThe instantaneous exhaust mass flow rate can be calculated from the air mass flow rate and the fuel mass flow rate as follows:\nqmew,i=qmaw,i+qmf,iwhere:\nqmew,iis the instantaneous exhaust mass flow rate [kg/s]\nqmaw,iis the instantaneous intake air mass flow rate [kg/s]\nqmf,iis the instantaneous fuel mass flow rate [kg/s]\nIf the air mass flow rate and the fuel mass flow rate or the exhaust mass flow rate are determined from ECU recording, the calculated instantaneous exhaust mass flow rate shall meet the linearity requirements specified for the exhaust mass flow rate in point 3 of Appendix 2 and the validation requirements specified in point 4.3 of Appendix 3.\n10.3.\nCalculation method using air mass flow and air-to-fuel ratio\nThe instantaneous exhaust mass flow rate can be calculated from the air mass flow rate and the air-to-fuel ratio as follows:\nqmew,i= qmaw,i×1+1A∕Fst× λiwhere:\nA∕Fst=138,0×1+α4−ε2+ γ12,011+ 1,008× α+ 15,9994× ε+ 14,0067× δ+ 32,0675× γλi=100−cCO× 10− 42− cHCw× 10− 4+α4×1−2× cCO× 10− 43,5× cCO21+cCO× 10− 43,5× cCO2−ε2−δ2× cCO2+ cCO× 10− 44,764×1+α4−ε2+ γ× cCO2+ cCO× 10− 4+ cHCw× 10− 4where:\nqmaw,iis the instantaneous intake air mass flow rate [kg/s]\nA/Fstis the stoichiometric air-to-fuel ratio [kg/kg]\nλiis the instantaneous excess air ratio\ncCO2is the dry CO2 concentration [%]\ncCOis the dry CO concentration [ppm]\ncHCwis the wet HC concentration [ppm]\nαis the molar hydrogen ratio (H/C)\nβis the molar carbon ratio (C/C)\nγis the molar sulphur ratio (S/C)\nδis the molar nitrogen ratio (N/C)\nεis the molar oxygen ratio (O/C)\nCoefficients refer to a fuel Cβ Hα Oε Nδ Sγ with β = 1 for carbon based fuels. The concentration of HC emissions is typically low and may be omitted when calculating λi.\nIf the air mass flow rate and air-to-fuel ratio are determined from ECU recording, the calculated instantaneous exhaust mass flow rate shall meet the linearity requirements specified for the exhaust mass flow rate in point 3 of Appendix 2 and the validation requirements specified in point 4.3 of Appendix 3.\n10.4.\nCalculation method using fuel mass flow and air-to-fuel ratio\nThe instantaneous exhaust mass flow rate can be calculated from the fuel flow and the air-to-fuel ratio (calculated with A/Fst and λi according to point 10.3) as follows:\nqmew,i= qmf,i×1+ A∕Fst× λiThe calculated instantaneous exhaust mass flow rate shall meet the linearity requirements specified for the exhaust gas mass flow rate in point 3 of Appendix 2 and the validation requirements specified in point 4.3 of Appendix 3.\n11.\nCALCULATING THE INSTANTANEOUS MASS EMISSIONS OF GASEOUS COMPONENTS\nThe instantaneous mass emissions [g/s] shall be determined by multiplying the instantaneous concentration of the pollutant under consideration [ppm] with the instantaneous exhaust mass flow rate [kg/s], both corrected and aligned for the transformation time, and the respective u value of Table 1. If measured on a dry basis, the dry-wet correction according to point 8.1 shall be applied to the instantaneous component concentrations before executing any further calculations. If occurring, negative instantaneous emission values shall enter all subsequent data evaluations. Parameter values shall enter the calculation of instantaneous emissions [g/s] as reported by the analyser, flow-measuring instrument, sensor or the ECU. The following equation shall be applied:\nwhere:\nmgas,i=ugas× cgas,i× qmew,imgas,iis the mass of the exhaust component ‘gas’ [g/s]\nugasis the ratio of the density of the exhaust component ‘gas’ and the overall density of the exhaust as listed in Table 1\ncgas,iis the measured concentration of the exhaust component ‘gas’ in the exhaust [ppm]\nqmew,iis the measured exhaust mass flow rate [kg/s]\ngasis the respective component\ninumber of the measurement\nTable 1\nRaw exhaust gas u values depicting the ratio between the densities of exhaust component or pollutant i [kg/m3] and the density of the exhaust gas [kg/m3]\ndepending on fuel\nat λ = 2, dry air, 273 K, 101.3 kPa\nu values accurate within 0,2 % for mass composition of: C=66-76 %; H=22-25 %; N=0-12 %\nNMHC on the basis of CH2.93 (for THC the ugas coefficient of CH4 shall be used)\nu accurate within 0,2 % for mass composition of: C3=70-90 %; C4=10-30 %\nugas is a unitless parameter; the ugas values include unit conversions to ensure that the instantaneous emissions are obtained in the specified physical unit, i.e., g/s\nFuel\nρe [kg/m3]\nComponent or pollutant i\nNOx\nCO\nHC\nCO2\nO2\nCH4\nρgas [kg/m3]\n2,053\n1,25\n1,9636\n1,4277\n0,716\nugas,\nDiesel (B7)\n1,2943\n0,001586\n0,000966\n0,000482\n0,001517\n0,001103\n0,000553\nEthanol (ED95)\n1,2768\n0,001609\n0,00098\n0,00078\n0,001539\n0,001119\n0,000561\nCNG\n1,2661\n0,001621\n0,000987\n0,000528\n0,001551\n0,001128\n0,000565\nPropane\n1,2805\n0,001603\n0,000976\n0,000512\n0,001533\n0,001115\n0,000559\nButane\n1,2832\n0,0016\n0,000974\n0,000505\n0,00153\n0,001113\n0,000558\nLPG\n1,2811\n0,001602\n0,000976\n0,00051\n0,001533\n0,001115\n0,000559\nPetrol (E10)\n1,2931\n0,001587\n0,000966\n0,000499\n0,001518\n0,001104\n0,000553\nEthanol (E85)\n1,2797\n0,001604\n0,000977\n0,00073\n0,001534\n0,001116\n0,000559\n12.\nCALCULATING THE INSTANTANEOUS PARTICLE NUMBER EMISSIONS\nThe instantaneous particle number emissions [particles/s] shall be determined by multiplying the instantaneous concentration of the pollutant under consideration [particles/cm3] with the instantaneous exhaust mass flow rate [kg/s], both corrected and aligned for the transformation time. If applicable, negative instantaneous emission values shall enter all subsequent data evaluations. All significant digits of intermediate results shall enter the calculation of the instantaneous emissions. The following equation shall apply:\nPN,i=cPN,iqmew,i∕ρe\nwhere:\nPN,iis the particle number flux [particles/s]\ncPN,iis the measured particle number concentration [#/m3] normalized at 0 °C\nqmew,iis the measured exhaust mass flow rate [kg/s]\nρeis the density of the exhaust gas [kg/m3] at 0 °C (Table 1)\n13.\nDATA REPORTING AND EXCHANGE\nThe data shall be exchanged between the measurement systems and the data evaluation software by a standardised reporting file as specified in point 2 of Appendix 8. Any pre-processing of data (e.g. time correction according to point 3 or the correction of the GPS vehicle speed signal according to point 7) shall be done with the control software of the measurement systems and shall be completed before the data reporting file is generated. If data are corrected or processed prior to entering the data reporting file, the original raw data shall be kept for quality assurance and control. Rounding of intermediate values is not permitted.",
  "extent": "E+W+S+N.I.",
  "status": null,
  "version": "current",
  "annotations": [
    {
      "type": "F",
      "label": "F1",
      "text": "Substituted by Commission Regulation (EU) 2018/1832 of 5 November 2018 amending Directive 2007/46/EC of the European Parliament and of the Council, Commission Regulation (EC) No 692/2008 and Commission Regulation (EU) 2017/1151 for the purpose of improving the emission type approval tests and procedures for light passenger and commercial vehicles, including those for in-service conformity and real-driving emissions and introducing devices for monitoring the consumption of fuel and electric energy (Text with EEA relevance)."
    },
    {
      "type": "F",
      "label": "F2",
      "text": "Substituted by Commission Regulation (EU) 2017/1154 of 7 June 2017 amending Regulation (EU) 2017/1151 supplementing Regulation (EC) No 715/2007 of the European Parliament and of the Council on type-approval of motor vehicles with respect to emissions from light passenger and commercial vehicles (Euro 5 and Euro 6) and on access to vehicle repair and maintenance information, amending Directive 2007/46/EC of the European Parliament and of the Council, Commission Regulation (EC) No 692/2008 and Commission Regulation (EU) No 1230/2012 and repealing Regulation (EC) No 692/2008 and Directive 2007/46/EC of the European Parliament and of the Council as regards real-driving emissions from light passenger and commercial vehicles (Euro 6) (Text with EEA relevance)."
    },
    {
      "type": "F",
      "label": "F3",
      "text": "Inserted by Commission Regulation (EU) 2018/1832 of 5 November 2018 amending Directive 2007/46/EC of the European Parliament and of the Council, Commission Regulation (EC) No 692/2008 and Commission Regulation (EU) 2017/1151 for the purpose of improving the emission type approval tests and procedures for light passenger and commercial vehicles, including those for in-service conformity and real-driving emissions and introducing devices for monitoring the consumption of fuel and electric energy (Text with EEA relevance)."
    },
    {
      "type": "footnote",
      "label": "f1",
      "text": "ugas is a unitless parameter; the ugas values include unit conversions to ensure that the instantaneous emissions are obtained in the specified physical unit, i.e., g/s"
    },
    {
      "type": "footnote",
      "label": "f2",
      "text": "depending on fuel"
    },
    {
      "type": "footnote",
      "label": "f3",
      "text": "at λ = 2, dry air, 273 K, 101.3 kPa"
    },
    {
      "type": "footnote",
      "label": "f4",
      "text": "u values accurate within 0,2 % for mass composition of: C=66-76 %; H=22-25 %; N=0-12 %"
    },
    {
      "type": "footnote",
      "label": "f5",
      "text": "NMHC on the basis of CH2.93 (for THC the ugas coefficient of CH4 shall be used)"
    },
    {
      "type": "footnote",
      "label": "f6",
      "text": "u accurate within 0,2 % for mass composition of: C3=70-90 %; C4=10-30 %"
    }
  ],
  "outstanding_effects": [],
  "provenance": {
    "source": "legislation.gov.uk",
    "source_url": "https://www.legislation.gov.uk/eur/2017/1151/annex/IIIA/appendix/4",
    "retrieved_at": "2026-11-01T14:44:48.753743+00:00"
  },
  "licence": "Open Government Licence v3.0",
  "licence_url": "https://www.nationalarchives.gov.uk/doc/open-government-licence/version/3/",
  "attribution": "Contains public sector information licensed under the Open Government Licence v3.0. Source: legislation.gov.uk, The National Archives."
}