ANNEX VIISupplementary provisions
ANNEX VII Annex VII to Delegated Regulation (EU) 2017/654 is amended as follows: (1) point 2.1 is replaced by the following: ‘2.1. Measurement of gaseous emissions in raw exhaust gas’; (2) in point 2.1.1, equation (7-1) is replaced by the following: ‘ (7-1)’; (3) in point 2.1.3, equation (7-4) is replaced by the following: ‘ (7-4)’; (4) in point 2.1.5.2., equation (7-13) is replaced by the following: ‘ (7-13)’; (5) in point 2.1.6.4, in the legend of equation (7-21), the row corresponding to the term ‘ w C ’ is replaced by the following: ‘ w C = carbon content of fuel [% mass] (see equation (7-82) of point 3.3.3.1 or table 7.3)’; (6) in point 2.2.3, in the legend of equation (7-34), the rows corresponding to the terms ‘M da,w ’ and ‘M r,w ’ are replaced by the following: ‘ M da,w = molar mass of dilution air [g/mol] (see equation (7-144) of point 3.9.3) M r,w = molar mass of raw exhaust gas [g/mol] (see Appendix 2 point (5)’; (7) point 2.3.1 is replaced by the following: ‘2.3.1. Transient (NRTC and LSI-NRTC) test cycles and RMC The particulate mass shall be calculated after buoyancy correction of the particulate sample mass in accordance with point 8.1.13.2.5 of Annex VI.’; (8) in point 2.3.1.1.2, equation (7-46) is replaced by the following: ‘ (7-46)’; (9) point 2.4.1.1 is amended as follows: (a) in the legend of equation (7-59), the following row is added: ‘Δ t i = the measurement interval [s]’; (b) in the legend of equation (7-60), the row corresponding to the term ‘ T i, AUX ’ is replaced by the following: ‘ T i, AUX = corresponding value of torque required to drive auxiliaries determined in accordance with equation (6-18) of Annex VI.’; (10) in point 2.4.1.2, the legend of equation (7-64) is amended as follows: (a) the row corresponding to the term ‘P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (b) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (11) point 2.4.2.2 is amended as follows: (a) equation (7-66) is replaced by the following: ‘ (7-66)’; (b) the legend of equation (7-66) is amended as follows: (i) the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (ii) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (c) equation (7-67) is replaced by the following: ‘ (7-67)’; (d) the legend of equation (7-67) is amended as follows: (i) the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (ii) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (12) in point 3.3.4, the first paragraph is replaced by the following: ‘For HC measurement, x THC[THC-FID] shall be calculated by using the initial THC contamination concentration x THC[THC-FID]init from point 7.3.1.3 of Annex VI by means of equation (7-83):’; (13) in point 3.3.5, the last sentence is replaced by the following: ‘A certain flow-weighted mean concentration of an emission at the emission limit value might be already expected based on previous testing with similar engines or testing with similar equipment and instruments.’; (14) point 3.5 is replaced by the following. ‘3.5. Measurement of gaseous emissions in raw exhaust gas’; (15) in point 3.5.3, in point (c), equation (7-113) is replaced by the following: ‘ (7-113)’; (16) point 3.6.1 is replaced by the following ‘3.6.1. Emission mass calculation and background correction The calculation of gaseous emissions mass m gas [g/test] as a function of molar emissions flow rates shall be calculated as follows: (a) Continuous sampling, varying flow rate, shall be calculated by means of equation (7-106): [see equation (7-106)] Where: M gas = generic emission molar mass [g/mol] ṅ exhi = instantaneous exhaust gas molar flow rate on a wet basis [mol/s] x gasi = instantaneous generic gas molar concentration on a wet basis [mol/mol] f = data sampling rate [Hz] N = number of measurements [-] (b) Continuous sampling, constant flow rate, shall be calculated by means of equation (7-107): [see equation (7-107)] Where: M gas = generic emission molar mass [g/mol] ṅ exh = exhaust gas molar flow rate on a wet basis [mol/s] = mean gaseous emission molar fraction on a wet basis [mol/mol] Δ t = time duration of test interval (c) Batch sampling, regardless the flow rate is varying or constant, shall be calculated by means of equation (7-108): [see equation (7-108)] Where: M gas = generic emission molar mass [g/mol] ṅ exhi = instantaneous exhaust gas molar flow rate on a wet basis [mol/s] = mean gaseous emission molar fraction on a wet basis [mol/mol] f = data sampling rate [Hz] N = number of measurements [-] (d) In case of diluted exhaust gas calculated values for mass of the pollutants shall be corrected by subtracting the mass of background emissions, due to dilution air: (i) Firstly, the molar flow rate of dilution air n airdil [mol/s] shall be determined over the test interval. This may be a measured quantity or a quantity calculated from the diluted exhaust gas flow and the flow-weighted mean fraction of dilution air in diluted exhaust gas, ; (ii) The total flow of dilution air n airdil [mol] shall be multiplied by the mean concentration of background emission. This may be a time-weighted mean or a flow-weighted mean (e.g., a proportionally sampled background). The product of n airdil and the mean concentration of a background emission is the total amount of a background emission; (iii) If the result is a molar quantity, it shall be converted to a mass of the background emission m bkgnd [g] by multiplying it by emission molar mass, M gas [g/mol]; (iv) Total background mass shall be subtracted from total mass to correct for background emissions; (v) The total flow of dilution air may be determined by a direct flow measurement. In this case, the total mass of background shall be calculated, using the dilution air flow, n airdil . The background mass shall be subtracted from the total mass. The result shall be used in brake-specific emission calculations; (vi) The total flow of dilution air may be determined from the total flow of diluted exhaust gas and a chemical balance of the fuel, intake air, and exhaust gas as described in point 3.4. In this case, the total mass of background shall be calculated, using the total flow of diluted exhaust gas, n dexh . Then this result shall be multiplied by the flow-weighted mean fraction of dilution air in diluted exhaust gas, . Considering the two cases (v) and (vi), equations (7-115) and (7-116) shall be used: or (7-115) m gascor = m gas – m bkgnd (7-116) where: m gas = total mass of the gaseous emission [g] m bkgnd = total background masses [g] m gascor = mass of gas corrected for background emissions [g] M gas = molecular mass of generic gaseous emission [g/mol] x gasdil = gaseous emission concentration in dilution air [mol/mol] n airdil = dilution air molar flow [mol] = flow-weighted mean fraction of dilution air in diluted exhaust gas [mol/mol] = gas fraction of background [mol/mol] n dexh = total flow of diluted exhaust gas [mol]’; (17) in point 3.6.3, point (b) is amended as follows: (a) in point (i), the introductory wording is replaced by the following; ‘PDP molar flow rate. Based upon the speed at which the Positive Displacement Pump (PDP) operates for a test interval, the corresponding slope a 1 , and intercept, a 0 [-], as calculated with the calibration procedure set out in point 3.9.2, shall be used to calculate molar flow rate ṅ [mol/s] by means of equation (7-117):’; (b) in point (ii), the introductory wording is replaced by the following: ‘SSV molar flow rate. Based on the C d versus R e # equation determined in accordance with point 3.9.4, the Sub-Sonic Venturi (SSV) molar flow rate during an emission test ṅ [mol/s] shall be calculated by means of equation (7-119):’; (c) in point (iii), the introductory wording is replaced by the following: ‘CFV molar flow rate. To calculate the molar flow rate through one venturi or one combination of venturis, its respective mean C d and other constants, determined in accordance with point 3.9.5, shall be used. The calculation of its molar flow rate ṅ [mol/s] during an emission test shall be calculated by means of equation (7-120):’; (18) point 3.8.1.1 is amended as follows: (a) equation (7-126) is replaced by the following: ‘ (7-126)’; (b) in the legend of equation (7-126), the following row is added: ‘Δ t i = the measurement interval [s]’; (c) the legend of equation (7-127) is replaced by the following: ‘Where: T i,meas is the measured value of instantaneous engine torque T i,AUX is the corresponding value of torque required to drive auxiliaries determined in accordance with point 7.7.2.3(b) of Annex VI.’; (19) in point 3.8.1.2, the legend of equation (7-131) is amended as follows: (a) the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (b) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (20) point 3.8.2.2.1 is amended as follows: (a) equation (7-133) is replaced by the following: ‘ (7-133)’; (b) the legend of equation (7-133) is amended as follows: (i) the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (ii) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (21) point 3.8.2.2.2 is amended as follows: (a) equation (7-134) is replaced by the following: ‘ (7-134)’; (b) the legend of equation (7-134) is amended as follows: (i) the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (ii) the following row is added: ‘ N mode = number of modes in applicable discrete-mode NRSC’; (22) in point 3.9.3, in point (a), equation (7-140) is replaced by the following: ‘ (7-140)’; (23) in Appendix 3, in point 5, the following Table 7.9 and Table 7.10 are added: ‘ Table 7-9 Critical F values, F crit90 , versus N – 1 and N ref – 1 at 90 per cent confidence N – 1 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 1000+ N ref – 1 1 39,86 49,50 53,59 55,83 57,24 58,20 58,90 59,43 59,85 60,19 60,70 61,22 61,74 62,00 62,26 62,52 62,79 63,06 63,32 2 8,526 9,000 9,162 9,243 9,293 9,326 9,349 9,367 9,381 9,392 9,408 9,425 9,441 9,450 9,458 9,466 9,475 9,483 9,491 3 5,538 5,462 5,391 5,343 5,309 5,285 5,266 5,252 5,240 5,230 5,216 5,200 5,184 5,176 5,168 5,160 5,151 5,143 5,134 4 4,545 4,325 4,191 4,107 4,051 4,010 3,979 3,955 3,936 3,920 3,896 3,870 3,844 3,831 3,817 3,804 3,790 3,775 3,761 5 4,060 3,780 3,619 3,520 3,453 3,405 3,368 3,339 3,316 3,297 3,268 3,238 3,207 3,191 3,174 3,157 3,140 3,123 3,105 6 3,776 3,463 3,289 3,181 3,108 3,055 3,014 2,983 2,958 2,937 2,905 2,871 2,836 2,818 2,800 2,781 2,762 2,742 2,722 7 3,589 3,257 3,074 2,961 2,883 2,827 2,785 2,752 2,725 2,703 2,668 2,632 2,595 2,575 2,555 2,535 2,514 2,493 2,471 8 3,458 3,113 2,924 2,806 2,726 2,668 2,624 2,589 2,561 2,538 2,502 2,464 2,425 2,404 2,383 2,361 2,339 2,316 2,293 9 3,360 3,006 2,813 2,693 2,611 2,551 2,505 2,469 2,440 2,416 2,379 2,340 2,298 2,277 2,255 2,232 2,208 2,184 2,159 10 3,285 2,924 2,728 2,605 2,522 2,461 2,414 2,377 2,347 2,323 2,284 2,244 2,201 2,178 2,155 2,132 2,107 2,082 2,055 11 3,225 2,860 2,660 2,536 2,451 2,389 2,342 2,304 2,274 2,248 2,209 2,167 2,123 2,100 2,076 2,052 2,026 2,000 1,972 12 3,177 2,807 2,606 2,480 2,394 2,331 2,283 2,245 2,214 2,188 2,147 2,105 2,060 2,036 2,011 1,986 1,960 1,932 1,904 13 3,136 2,763 2,560 2,434 2,347 2,283 2,234 2,195 2,164 2,138 2,097 2,053 2,007 1,983 1,958 1,931 1,904 1,876 1,846 14 3,102 2,726 2,522 2,395 2,307 2,243 2,193 2,154 2,122 2,095 2,054 2,010 1,962 1,938 1,912 1,885 1,857 1,828 1,797 15 3,073 2,695 2,490 2,361 2,273 2,208 2,158 2,119 2,086 2,059 2,017 1,972 1,924 1,899 1,873 1,845 1,817 1,787 1,755 16 3,048 2,668 2,462 2,333 2,244 2,178 2,128 2,088 2,055 2,028 1,985 1,940 1,891 1,866 1,839 1,811 1,782 1,751 1,718 17 3,026 2,645 2,437 2,308 2,218 2,152 2,102 2,061 2,028 2,001 1,958 1,912 1,862 1,836 1,809 1,781 1,751 1,719 1,686 18 3,007 2,624 2,416 2,286 2,196 2,130 2,079 2,038 2,005 1,977 1,933 1,887 1,837 1,810 1,783 1,754 1,723 1,691 1,657 19 2,990 2,606 2,397 2,266 2,176 2,109 2,058 2,017 1,984 1,956 1,912 1,865 1,814 1,787 1,759 1,730 1,699 1,666 1,631 20 2,975 2,589 2,380 2,249 2,158 2,091 2,040 1,999 1,965 1,937 1,892 1,845 1,794 1,767 1,738 1,708 1,677 1,643 1,607 21 2,961 2,575 2,365 2,233 2,142 2,075 2,023 1,982 1,948 1,920 1,875 1,827 1,776 1,748 1,719 1,689 1,657 1,623 1,586 20 2,949 2,561 2,351 2,219 2,128 2,061 2,008 1,967 1,933 1,904 1,859 1,811 1,759 1,731 1,702 1,671 1,639 1,604 1,567 23 2,937 2,549 2,339 2,207 2,115 2,047 1,995 1,953 1,919 1,890 1,845 1,796 1,744 1,716 1,686 1,655 1,622 1,587 1,549 24 2,927 2,538 2,327 2,195 2,103 2,035 1,983 1,941 1,906 1,877 1,832 1,783 1,730 1,702 1,672 1,641 1,607 1,571 1,533 25 2,918 2,528 2,317 2,184 2,092 2,024 1,971 1,929 1,895 1,866 1,820 1,771 1,718 1,689 1,659 1,627 1,593 1,557 1,518 26 2,909 2,519 2,307 2,174 2,082 2,014 1,961 1,919 1,884 1,855 1,809 1,760 1,706 1,677 1,647 1,615 1,581 1,544 1,504 27 2,901 2,511 2,299 2,165 2,073 2,005 1,952 1,909 1,874 1,845 1,799 1,749 1,695 1,666 1,636 1,603 1,569 1,531 1,491 28 2,894 2,503 2,291 2,157 2,064 1,996 1,943 1,900 1,865 1,836 1,790 1,740 1,685 1,656 1,625 1,593 1,558 1,520 1,478 29 2,887 2,495 2,283 2,149 2,057 1,988 1,935 1,892 1,857 1,827 1,781 1,731 1,676 1,647 1,616 1,583 1,547 1,509 1,467 30 2,881 2,489 2,276 2,142 2,049 1,980 1,927 1,884 1,849 1,819 1,773 1,722 1,667 1,638 1,606 1,573 1,538 1,499 1,456 40 2,835 2,440 2,226 2,091 1,997 1,927 1,873 1,829 1,793 1,763 1,715 1,662 1,605 1,574 1,541 1,506 1,467 1,425 1,377 60 2,791 2,393 2,177 2,041 1,946 1,875 1,819 1,775 1,738 1,707 1,657 1,603 1,543 1,511 1,476 1,437 1,395 1,348 1,291 120 2,748 2,347 2,130 1,992 1,896 1,824 1,767 1,722 1,684 1,652 1,601 1,545 1,482 1,447 1,409 1,368 1,320 1,265 1,193 1000+ 2,706 2,303 2,084 1,945 1,847 1,774 1,717 1,670 1,632 1,599 1,546 1,487 1,421 1,383 1,342 1,295 1,240 1,169 1,000 Table 7-10 Critical F values, F crit95 , versus N – 1 and N ref – 1 at 95 per cent confidence N – 1 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 1000+ N ref – 1 1 161,4 199,5 215,7 224,5 230,1 233,9 236,7 238,8 240,5 241,8 243,9 245,9 248,0 249,0 250,1 251,1 252,2 253,2 254,3 2 18,51 19,00 19,16 19,24 19,29 19,33 19,35 19,37 19,38 19,39 19,41 19,42 19,44 19,45 19,46 19,47 19,47 19,48 19,49 3 10,12 9,552 9,277 9,117 9,014 8,941 8,887 8,845 8,812 8,786 8,745 8,703 8,660 8,639 8,617 8,594 8,572 8,549 8,526 4 7,709 6,944 6,591 6,388 6,256 6,163 6,094 6,041 5,999 5,964 5,912 5,858 5,803 5,774 5,746 5,717 5,688 5,658 5,628 5 6,608 5,786 5,410 5,192 5,050 4,950 4,876 4,818 4,773 4,735 4,678 4,619 4,558 4,527 4,496 4,464 4,431 4,399 4,365 6 5,987 5,143 4,757 4,534 4,387 4,284 4,207 4,147 4,099 4,060 4,000 3,938 3,874 3,842 3,808 3,774 3,740 3,705 3,669 7 5,591 4,737 4,347 4,120 3,972 3,866 3,787 3,726 3,677 3,637 3,575 3,511 3,445 3,411 3,376 3,340 3,304 3,267 3,230 8 5,318 4,459 4,066 3,838 3,688 3,581 3,501 3,438 3,388 3,347 3,284 3,218 3,150 3,115 3,079 3,043 3,005 2,967 2,928 9 5,117 4,257 3,863 3,633 3,482 3,374 3,293 3,230 3,179 3,137 3,073 3,006 2,937 2,901 2,864 2,826 2,787 2,748 2,707 10 4,965 4,103 3,708 3,478 3,326 3,217 3,136 3,072 3,020 2,978 2,913 2,845 2,774 2,737 2,700 2,661 2,621 2,580 2,538 11 4,844 3,982 3,587 3,357 3,204 3,095 3,012 2,948 2,896 2,854 2,788 2,719 2,646 2,609 2,571 2,531 2,490 2,448 2,405 12 4,747 3,885 3,490 3,259 3,106 2,996 2,913 2,849 2,796 2,753 2,687 2,617 2,544 2,506 2,466 2,426 2,384 2,341 2,296 13 4,667 3,806 3,411 3,179 3,025 2,915 2,832 2,767 2,714 2,671 2,604 2,533 2,459 2,420 2,380 2,339 2,297 2,252 2,206 14 4,600 3,739 3,344 3,112 2,958 2,848 2,764 2,699 2,646 2,602 2,534 2,463 2,388 2,349 2,308 2,266 2,223 2,178 2,131 15 4,543 3,682 3,287 3,056 2,901 2,791 2,707 2,641 2,588 2,544 2,475 2,403 2,328 2,288 2,247 2,204 2,160 2,114 2,066 16 4,494 3,634 3,239 3,007 2,852 2,741 2,657 2,591 2,538 2,494 2,425 2,352 2,276 2,235 2,194 2,151 2,106 2,059 2,010 17 4,451 3,592 3,197 2,965 2,810 2,699 2,614 2,548 2,494 2,450 2,381 2,308 2,230 2,190 2,148 2,104 2,058 2,011 1,960 18 4,414 3,555 3,160 2,928 2,773 2,661 2,577 2,510 2,456 2,412 2,342 2,269 2,191 2,150 2,107 2,063 2,017 1,968 1,917 19 4,381 3,522 3,127 2,895 2,740 2,628 2,544 2,477 2,423 2,378 2,308 2,234 2,156 2,114 2,071 2,026 1,980 1,930 1,878 20 4,351 3,493 3,098 2,866 2,711 2,599 2,514 2,447 2,393 2,348 2,278 2,203 2,124 2,083 2,039 1,994 1,946 1,896 1,843 21 4,325 3,467 3,073 2,840 2,685 2,573 2,488 2,421 2,366 2,321 2,250 2,176 2,096 2,054 2,010 1,965 1,917 1,866 1,812 22 4,301 3,443 3,049 2,817 2,661 2,549 2,464 2,397 2,342 2,297 2,226 2,151 2,071 2,028 1,984 1,938 1,889 1,838 1,783 23 4,279 3,422 3,028 2,796 2,640 2,528 2,442 2,375 2,320 2,275 2,204 2,128 2,048 2,005 1,961 1,914 1,865 1,813 1,757 24 4,260 3,403 3,009 2,776 2,621 2,508 2,423 2,355 2,300 2,255 2,183 2,108 2,027 1,984 1,939 1,892 1,842 1,790 1,733 25 4,242 3,385 2,991 2,759 2,603 2,490 2,405 2,337 2,282 2,237 2,165 2,089 2,008 1,964 1,919 1,872 1,822 1,768 1,711 26 4,225 3,369 2,975 2,743 2,587 2,474 2,388 2,321 2,266 2,220 2,148 2,072 1,990 1,946 1,901 1,853 1,803 1,749 1,691 27 4,210 3,354 2,960 2,728 2,572 2,459 2,373 2,305 2,250 2,204 2,132 2,056 1,974 1,930 1,884 1,836 1,785 1,731 1,672 28 4,196 3,340 2,947 2,714 2,558 2,445 2,359 2,291 2,236 2,190 2,118 2,041 1,959 1,915 1,869 1,820 1,769 1,714 1,654 29 4,183 3,328 2,934 2,701 2,545 2,432 2,346 2,278 2,223 2,177 2,105 2,028 1,945 1,901 1,854 1,806 1,754 1,698 1,638 30 4,171 3,316 2,922 2,690 2,534 2,421 2,334 2,266 2,211 2,165 2,092 2,015 1,932 1,887 1,841 1,792 1,740 1,684 1,622 40 4,085 3,232 2,839 2,606 2,450 2,336 2,249 2,180 2,124 2,077 2,004 1,925 1,839 1,793 1,744 1,693 1,637 1,577 1,509 60 4,001 3,150 2,758 2,525 2,368 2,254 2,167 2,097 2,040 1,993 1,917 1,836 1,748 1,700 1,649 1,594 1,534 1,467 1,389 120 3,920 3,072 2,680 2,447 2,290 2,175 2,087 2,016 1,959 1,911 1,834 1,751 1,659 1,608 1,554 1,495 1,429 1,352 1,254 1000+ 3,842 2,996 2,605 2,372 2,214 2,099 2,010 1,938 1,880 1,831 1,752 1,666 1,571 1,517 1,459 1,394 1,318 1,221 1,000’; (24) Appendix 5 is amended as follows: (a) in point 2.2, in the legend of equation (7-178), the row corresponding to the term ‘ P i ’ is replaced by the following: ‘ P i = engine power for the mode i [kW] calculated by adding to the measured power P meas [kW] the power required to drive auxiliaries P AUX [kW] determined in accordance with equation (6-8) of Annex VI ( P i = P meas + P AUX ).’; (b) in point 2.3, the first sentence is replaced by the following: ‘The final NRSC and weighted average NRTC test results shall be rounded in one step to three significant figures in accordance with ASTM E 29–06B.’.