Division 1.4 Stepwise procedure for calculating the final test results for vehicles using combustion enginesF1

The results shall be calculated in the order described in Table A7/1. All applicable results in the column ‘Output’ shall be recorded. The column ‘Process’ describes the paragraphs to be used for calculation or contains additional calculations.

For the purpose of this table, the following nomenclature within the equations and results is used:

complete applicable cycle;

every applicable cycle phase;

every applicable criteria emission component, without CO₂;

CO₂

CO₂ emission.

Table A7/1

Procedure for calculating final test results

Source	Input	Process	Output	Step No.
Sub-Annex 6	Raw test results	Mass emissions Paragraphs 3. to 3.2.2. of this Sub-Annex.	M_i,p,1, g/km; M_CO2,p,1, g/km.	1
Output step 1	M_i,p,1, g/km; M_CO2,p,1, g/km.	Calculation of combined cycle values: $M_{i,c,2} = \frac{\sum_{p} M_{i,p,1} \times d_{p}}{\sum_{p} d_{p}}$ $M_{CO2,c,2} = \frac{\sum_{p} M_{CO2,p,1} \times d_{p}}{\sum_{p} d_{p}}$ where: M_i/CO2,c,2 are the emission results over the total cycle; d_p are the driven distances of the cycle phases, p.	M_i,c,2, g/km; M_CO2,c,2, g/km.	2
Output step 1 and 2	M_CO2,p,1, g/km; M_CO2,c,2, g/km.	Correction of CO₂ results against the target speed and distance. Sub-Annex 6b. Note: As the distance is also corrected, from this calculation step onwards any reference to a driven distance shall be interpreted as a reference to the target distance.	M_CO2,p,2b, g/km; M_CO2,c,2b, g/km.	2b
Output step 2b	M_CO2,p,2b, g/km; M_CO2,c,2b, g/km.	RCB correction Appendix 2 to Sub-Annex 6.	M_CO2,p,3, g/km; M_CO2,c,3, g/km.	3
Output step 2 and 3	M_i,c,2, g/km; M_CO2,c,3, g/km.	Emissions test procedure for all vehicles equipped with periodically regenerating systems, K_i. Sub-Annex 6, Appendix 1. M_i,c,4 = K_i × M_i,c,2 or M_i,c,4 = K_i + M_i,c,2 and M_CO2,c,4 = K_CO2 × M_CO2,c,3 or M_CO2,c,4 = K_CO2 + M_CO2,c,3 Additive offset or multiplicative factor to be used in accordance with K_i determination. If K_i is not applicable: M_i,c,4 = M_i,c,2 M_CO2,c,4 = M_CO2,c,3	M_i,c,4, g/km; M_CO2,c,4, g/km.	4a
Output step 3 and 4a	M_CO2,p,3, g/km; M_CO2,c,3, g/km; M_CO2,c,4, g/km.	If K_i is applicable, align CO₂ phase values to the combined cycle value: M_CO2,p,4 = M_CO2,p,3 × AF_Ki for every cycle phase p; where: ${AF}_{Ki} = \frac{M_{CO2,c,4}}{M_{CO2,c,3}}$ If K_i is not applicable: M_CO2,p,4 = M_CO2,p,3	M_CO2,p,4, g/km.	4b
Output step 4	M_i,c,4, g/km; M_CO2,c,4, g/km; M_CO2,p,4, g/km.	ATCT correction in accordance with paragraph 3.8.2. of Sub-Annex 6a. Deterioration factors calculated in accordance with Annex VII and applied to the criteria emissions values.	M_i,c,5, g/km; M_CO2,c,5, g/km; M_CO2,p,5, g/km.	5 Result of a single test.
Output step 5	For every test: M_i,c,5, g/km; M_CO2,c,5, g/km; M_CO2,p,5, g/km.	Averaging of tests and declared value. Paragraphs 1.2. to 1.2.3. of Sub-Annex 6.	M_i,c,6, g/km; M_CO2,c,6, g/km; M_CO2,p,6, g/km. M_{CO2,c,declared}, g/km.	6
Output step 6	M_CO2,c,6, g/km; M_CO2,p,6, g/km. M_{CO2,c,declared}, g/km.	Alignment of phase values. Paragraph 1.2.4. of Sub-Annex 6. and: M_CO2,c,7 = M_{CO2,c,declared}	M_CO2,c,7, g/km; M_CO2,p,7, g/km.	7
Output steps 6 and 7	M_i,c,6, g/km; M_CO2,c,7, g/km; M_CO2,p,7, g/km.	Calculation of fuel consumption. Paragraph 6 of this Sub-Annex. The calculation of fuel consumption shall be performed for the applicable cycle and its phases separately. For that purpose: (a) the applicable phase or cycle CO₂ values shall be used; (b) the criteria emission over the complete cycle shall be used. and: M_i,c,8 = M_i,c,6 M_CO2,c,8 = M_CO2,c,7 M_CO2,p,8 = M_CO2,p,7	FC_c,8, l/100 km; FC_p,8, l/100 km; M_i,c,8, g/km; M_CO2,c,8, g/km; M_CO2,p,8, g/km.	8 Result of a Type 1 test for a test vehicle.
Step 8	For each of the test vehicles H and L: M_i,c,8, g/km; M_CO2,c,8, g/km; M_CO2,p,8, g/km; FC_c,8, l/100 km; FC_p,8, l/100 km.	If a test vehicle L was tested in addition to a test vehicle H, the resulting criteria emission value shall be the highest of the two values and referred to as M_i,c. In the case of the combined THC + NO_x emissions, the highest value of the sum referring to either the VH or VL is to be used. Otherwise, if no vehicle L was tested, M_i,c = M_i,c,8 For CO₂ and FC, the values derived in step 8 shall be used, and CO₂ values shall be rounded to two decimal places, and FC values shall be rounded to three decimal places.	M_i,c, g/km; M_CO2,c,H, g/km; M_CO2,p,H, g/km; FC_c,H, l/100 km; FC_p,H, l/100 km; and if a vehicle L was tested: M_CO2,c,L, g/km; M_CO2,p,L, g/km; FC_c,L, l/100 km; FC_p,L, l/100 km.	9 Interpolation family result. Final criteria emission result.
Step 9	M_CO2,c,H, g/km; M_CO2,p,H, g/km; FC_c,H, l/100 km; FC_p,H, l/100 km; and if a vehicle L was tested: M_CO2,c,L, g/km; M_CO2,p,L, g/km; FC_c,L, l/100 km; FC_p,L, l/100 km.	Fuel consumption and CO₂ calculations for individual vehicles in an interpolation family. Paragraph 3.2.3. of this Sub-Annex. CO₂ emissions shall be expressed in grams per kilometre (g/km) rounded to the nearest whole number; FC values shall be rounded to one decimal place, expressed in (l/100 km).	M_CO2,c,ind g/km; M_CO2,p,ind, g/km; FC_c,ind l/100 km; FC_p,ind, l/100 km.	10 Result of an individual vehicle. Final CO₂ and FC result.

Source

Input

Process

Output

Step No.

Sub-Annex 6

Raw test results

Mass emissions

Paragraphs 3. to 3.2.2. of this Sub-Annex.

M_i,p,1, g/km;

M_CO2,p,1, g/km.

Output step 1

M_i,p,1, g/km;

M_CO2,p,1, g/km.

Calculation of combined cycle values:

M_{i,c,2} = \frac{\sum_{p} M_{i,p,1} \times d_{p}}{\sum_{p} d_{p}}

M_{CO2,c,2} = \frac{\sum_{p} M_{CO2,p,1} \times d_{p}}{\sum_{p} d_{p}}

where:

M_i/CO2,c,2 are the emission results over the total cycle;
d_p are the driven distances of the cycle phases, p.

M_i,c,2, g/km;

M_CO2,c,2, g/km.

Output step 1 and 2

M_CO2,p,1, g/km;

M_CO2,c,2, g/km.

Correction of CO₂ results against the target speed and distance.

Sub-Annex 6b.

Note: As the distance is also corrected, from this calculation step onwards any reference to a driven distance shall be interpreted as a reference to the target distance.

M_CO2,p,2b, g/km;

M_CO2,c,2b, g/km.

Output step 2b

M_CO2,p,2b, g/km;

M_CO2,c,2b, g/km.

RCB correction

Appendix 2 to Sub-Annex 6.

M_CO2,p,3, g/km;

M_CO2,c,3, g/km.

Output step 2 and 3

M_i,c,2, g/km;

M_CO2,c,3, g/km.

Emissions test procedure for all vehicles equipped with periodically regenerating systems, K_i.

Sub-Annex 6, Appendix 1.

M_i,c,4 = K_i × M_i,c,2

M_i,c,4 = K_i + M_i,c,2

and

M_CO2,c,4 = K_CO2 × M_CO2,c,3

M_CO2,c,4 = K_CO2 + M_CO2,c,3

Additive offset or multiplicative factor to be used in accordance with K_i determination.

If K_i is not applicable:

M_i,c,4 = M_i,c,2
M_CO2,c,4 = M_CO2,c,3

M_i,c,4, g/km;

M_CO2,c,4, g/km.

Output step 3 and 4a

M_CO2,p,3, g/km;

M_CO2,c,3, g/km;

M_CO2,c,4, g/km.

If K_i is applicable, align CO₂ phase values to the combined cycle value:

M_CO2,p,4 = M_CO2,p,3 × AF_Ki

for every cycle phase p;

where:

{AF}_{Ki} = \frac{M_{CO2,c,4}}{M_{CO2,c,3}}

If K_i is not applicable:

M_CO2,p,4 = M_CO2,p,3

M_CO2,p,4, g/km.

Output step 4

M_i,c,4, g/km;

M_CO2,c,4, g/km;

M_CO2,p,4, g/km.

ATCT correction in accordance with paragraph 3.8.2. of Sub-Annex 6a.

Deterioration factors calculated in accordance with Annex VII and applied to the criteria emissions values.

M_i,c,5, g/km;

M_CO2,c,5, g/km;

M_CO2,p,5, g/km.

Result of a single test.

Output step 5

For every test:

M_i,c,5, g/km;
M_CO2,c,5, g/km;
M_CO2,p,5, g/km.

Averaging of tests and declared value.

Paragraphs 1.2. to 1.2.3. of Sub-Annex 6.

M_i,c,6, g/km;

M_CO2,c,6, g/km;

M_CO2,p,6, g/km.

M_{CO2,c,declared}, g/km.

Output step 6

M_CO2,c,6, g/km;

M_CO2,p,6, g/km.

M_{CO2,c,declared}, g/km.

Alignment of phase values.

Paragraph 1.2.4. of Sub-Annex 6.

and:

M_CO2,c,7 = M_{CO2,c,declared}

M_CO2,c,7, g/km;

M_CO2,p,7, g/km.

Output steps 6 and 7

M_i,c,6, g/km;

M_CO2,c,7, g/km;

M_CO2,p,7, g/km.

Calculation of fuel consumption.

Paragraph 6 of this Sub-Annex.

The calculation of fuel consumption shall be performed for the applicable cycle and its phases separately. For that purpose:

(a)
the applicable phase or cycle CO₂ values shall be used;
(b)
the criteria emission over the complete cycle shall be used.

and:

M_i,c,8 = M_i,c,6
M_CO2,c,8 = M_CO2,c,7
M_CO2,p,8 = M_CO2,p,7

FC_c,8, l/100 km;

FC_p,8, l/100 km;

M_i,c,8, g/km;

M_CO2,c,8, g/km;

M_CO2,p,8, g/km.

Result of a Type 1 test for a test vehicle.

Step 8

For each of the test vehicles H and L:

M_i,c,8, g/km;
M_CO2,c,8, g/km;
M_CO2,p,8, g/km;
FC_c,8, l/100 km;
FC_p,8, l/100 km.

If a test vehicle L was tested in addition to a test vehicle H, the resulting criteria emission value shall be the highest of the two values and referred to as M_i,c.

In the case of the combined THC + NO_x emissions, the highest value of the sum referring to either the VH or VL is to be used.

Otherwise, if no vehicle L was tested, M_i,c = M_i,c,8

For CO₂ and FC, the values derived in step 8 shall be used, and CO₂ values shall be rounded to two decimal places, and FC values shall be rounded to three decimal places.

M_i,c, g/km;

M_CO2,c,H, g/km;

M_CO2,p,H, g/km;

FC_c,H, l/100 km;

FC_p,H, l/100 km;

and if a vehicle L was tested:

M_CO2,c,L, g/km;
M_CO2,p,L, g/km;
FC_c,L, l/100 km;
FC_p,L, l/100 km.

Interpolation family result.

Final criteria emission result.

Step 9

M_CO2,c,H, g/km;

M_CO2,p,H, g/km;

FC_c,H, l/100 km;

FC_p,H, l/100 km;

and if a vehicle L was tested:

M_CO2,c,L, g/km;
M_CO2,p,L, g/km;
FC_c,L, l/100 km;
FC_p,L, l/100 km.

Fuel consumption and CO₂ calculations for individual vehicles in an interpolation family.

Paragraph 3.2.3. of this Sub-Annex.

CO₂ emissions shall be expressed in grams per kilometre (g/km) rounded to the nearest whole number;

FC values shall be rounded to one decimal place, expressed in (l/100 km).

M_CO2,c,ind g/km;

M_CO2,p,ind, g/km;

FC_c,ind l/100 km;

FC_p,ind, l/100 km.

Result of an individual vehicle.

Final CO₂ and FC result.

Annotations

Textual amendments

F1: 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).