Commission Regulation (EC) No 692/2008Dangos y teitl llawn

[F1 7. NUMERICAL EXAMPLES U.K.

7.1. Averaging window calculations U.K.

Table 1

Main calculation settings

[g]	610
Direction for averaging window calculation	Forward
Acquisition frequency [Hz]	1

Figure 6 shows how averaging windows are defined on the basis of data recorded during an on-road test performed with PEMS. For sake of clarity, only the first 1 200 seconds of the trip are shown hereafter.

Seconds 0 up to 43 as well as seconds 81 to 86 are excluded due to operation under zero vehicle speed.

The first averaging window starts at t _1,1 = 0s and ends at second t _2,1 = 524 s (Table 3). The window average vehicle speed, integrated CO and NO _x masses [g] emitted and corresponding to the valid data over the first averaging window are listed in Table 4.

Figure 6

Instantaneous CO ₂ emissions recorded during on-road test with PEMS as a function of time. Rectangular frames indicate the duration of the j ^th window. Data series named ‘Valid=100 / Invalid=0’ shows second by second data to be excluded from analysis

7.2. Evaluation of windows U.K.

Table 2

Calculation settings for the CO ₂ characteristic curve

CO 2 Low Speed WLTC (P 1 ) [g/km]	154
CO 2 High Speed WLTC (P 2 ) [g/km]	96
CO 2 Extra-High Speed WLTC (P 3 ) [g/km]	120

Reference Point
P 1
P 2
P 3

The definition of the CO ₂ characteristic curve is as follows:

For the section ( P ₁ , P ₂ ):

with

and: b ₁ = 154 – (– 1,543) × 19.0 = 154 + 29,317 = 183,317

For the section ( P ₂ , P ₃ ):

with

and: b ₂ = 96 – 0,672 × 56,6 = 96 – 38,035 = 57,965

Examples of calculation for the weighing factors and the window categorisation as urban, rural or motorway are:

For window #45:

For the characteristic curve:

Verification of:

124,498 × (1 – 25/100) ≤ 122,62 ≤ 124,498 × (1 + 25/100)

93,373 ≤ 122,62 ≤ 155,622

Leads to: w ₄₅ = 1

For window #556:

For the characteristic curve:

Verification of:

105,982 × (1 – 50/100) ≤ 72,15 ≤ 105,982 × (1 + 25/100)

52,991 ≤ 72,15 ≤ 79,487

Leads to:

w ₅₅₆ = k ₂₁ h ₅₅₆ + k ₂₂ = 0,04 · (– 31,922) + 2 = 0,723

with k ₂₁ = 1/( tol ₂ – tol ₁ ) = 1/(50 – 25) = 0,04

and k ₂₂ = k ₂₁ = tol ₂ /( tol ₂ – tol ₁ ) = 50/(50 – 25) = 2

Table 3

Emissions numerical data

Window [#]	t 1, j [s]	t 2, j – Δ t [s]	t 2, j [s]	[g]	[g]
1	0	523	524	609,06	610,22
2	1	523	524	609,06	610,22
…	…		…	…	…
43	42	523	524	609,06	610,22
44	43	523	524	609,06	610,22
45	44	523	524	609,06	610,22
46	45	524	525	609,68	610,86
47	46	524	525	609,17	610,34
…	…		…	…	…
100	99	563	564	609,69	612,74
…	…		…	…	…
200	199	686	687	608,44	610,01
…	…		…	…	…
474	473	1 024	1 025	609,84	610,60
475	474	1 029	1 030	609,80	610,49
	…		…	…	…
556	555	1 173	1 174	609,96	610,59
557	556	1 174	1 175	609,09	610,08
558	557	1 176	1 177	609,09	610,59
559	558	1 180	1 181	609,79	611,23

Table 4

Window numerical data

Window [#]	t 1,j [s]	t 2,j [s]	d j [km]	[km/h]	M CO2,j [g]	M CO,j [g]	M NOx,j [g]	M CO2,d,j [g/km]	M CO,d,j [g/km]	M NOx,d,j [g/km]	M CO2,d,cc ( ) [g/km]	Window (U/R/M)	h j [%]	w j [%]
1	0	524	4,98	38,12	610,22	2,25	3,51	122,61	0,45	0,71	124,51	URBAN	– 1,53	1,00
2	1	524	4,98	38,12	610,22	2,25	3,51	122,61	0,45	0,71	124,51	URBAN	– 1,53	1,00
…	…	…	…	…	…	…	…	…	…	…	…	…	…	…
43	42	524	4,98	38,12	610,22	2,25	3,51	122,61	0,45	0,71	124,51	URBAN	– 1,53	1,00
44	43	524	4,98	38,12	610,22	2,25	3,51	122,61	0,45	0,71	124,51	URBAN	– 1,53	1,00
45	44	524	4,98	38,12	610,22	2,25	3,51	122,62	0,45	0,71	124,51	URBAN	– 1,51	1,00
46	45	525	4,99	38,25	610,86	2,25	3,52	122,36	0,45	0,71	124,30	URBAN	– 1,57	1,00
…	…	…	…	…	…	…	…	…	…	…	…	…	…	…
100	99	564	5,25	41,23	612,74	2,00	3,68	116,77	0,38	0,70	119,70	URBAN	– 2,45	1,00
…	…	…	…	…	…	…	…	…	…	…	…	…	…	…
200	199	687	6,17	46,32	610,01	2,07	4,32	98,93	0,34	0,70	111,85	RURAL	– 11,55	1,00
…	…	…	…	…	…	…	…	…	…	…	…	…	…	…
474	473	1 025	7,82	52,00	610,60	2,05	4,82	78,11	0,26	0,62	103,10	RURAL	– 24,24	1,00
475	474	1 030	7,87	51,98	610,49	2,06	4,82	77,57	0,26	0,61	103,13	RURAL	– 24,79	1,00
	…	…	…	…	…	…	…	…	…	…	…	…	…	…
556	555	1 174	8,46	50,12	610,59	2,23	4,98	72,15	0,26	0,59	105,99	RURAL	– 31,93	0,72
557	556	1 175	8,46	50,12	610,08	2,23	4,98	72,10	0,26	0,59	106,00	RURAL	– 31,98	0,72
558	557	1 177	8,46	50,07	610,59	2,23	4,98	72,13	0,26	0,59	106,08	RURAL	– 32,00	0,72
559	558	1 181	8,48	49,93	611,23	2,23	5,00	72,06	0,26	0,59	106,28	RURAL	– 32,20	0,71

7.3. Urban, rural and motorway windows — Trip completeness U.K.

In this numerical example, the trip consists of 7 036 averaging windows. Table 5 lists the number of windows classified in urban, rural and motorway according to their average vehicle speed and divided in regions with respect to their distance to the CO ₂ characteristic curve. The trip is complete since it comprises at least 15 % of urban, rural and motorway windows out of the total number of windows. In addition the trip is characterised as normal since at least 50 % of the urban, rural and motorway windows are within the primary tolerances defined for the characteristic curve.

Table 5

Verification of trip completeness and normality

Driving Conditions	Numbers	Percentage of windows
All Windows
Urban	1 909	1 909 / 7 036 × 100 = 27,1 > 15
Rural	2 011	2 011 / 7 036 × 100 = 28,6 > 15
Motorway	3 116	3 116 / 7 036 × 100 = 44,3 > 15
Total	1 909 + 2 011 + 3 116 = 7 036
Normal Windows
Urban	1 514	1 514 / 1 909 × 100 = 79,3 > 50
Rural	1 395	1 395 / 2 011 × 100 = 69,4 > 50
Motorway	2 708	2 708 / 3 116 × 100 = 86,9 > 50
Total	1 514 + 1 395 + 2 708 = 5 617	]

Textual Amendments

F1 Inserted by Commission Regulation (EU) 2016/427 of 10 March 2016 amending Regulation (EC) No 692/2008 as regards emissions from light passenger and commercial vehicles (Euro 6) (Text with EEA relevance).