Appendix 5

Gaseous pollutant emissions calculations

1.

Calculation of the instantaneous gaseous pollutant emissions

2.

Determination of averaging windows' gaseous pollutant emissions and conformity factors

2.1.

Averaging window method

2.1.1.

2.1.2.

2.1.3.

2.1.4.

F12.1.5.

Figure 1

Engine power versus time and averaging window gaseous pollutant emissions, starting from the first averaging window, versus time

2.2.

Work based method

Figure 2

Work based method

The duration (t _{2, i} – t _{1, i} ) of the i^th averaging window is determined by:

W(t _2,i ) – W(t _1,i ) ≥ W_ref

Where:

• W(t_j,i ) is the engine work measured between the start and time t_j,i , kWh,

• W_ref is the engine work for the NRTC, kWh,

• t _{2, i} shall be selected such that:

  W(t _2,i – Δt) – W(t _1,i ) < W_ref ≤ W(t _2,i ) – W(t _1,i )

Where Δt is the data sampling period, equal to 1 second or less.

F22.2.1.

Calculations of the brake specific gaseous pollutant emissions

$e_{\mathrm{gas}}=\frac{m_i}{W\left(t_{\mathrm{2,}i}\right)-W\left(t_{\mathrm{1,}i}\right)}$

2.2.2.

Selection of valid averaging windows

2.2.2.1.

2.2.3.

Calculations of the conformity factors

$\mathrm{CF}=\frac{e_{\mathrm{gas}}}{L}$

2.3.

CO₂ mass based method

Figure 3

CO₂ mass based method

The duration (t _{2, i} – t _{1, i} ) of the i^th averaging window is determined by:

$$m_{{\mathrm{CO}}_2}\left(t_{\mathrm{2,}i}\right)-m_{{\mathrm{CO}}_2}\left(t_{\mathrm{1,}i}\right)\ge m_{{\mathrm{CO}}_{\mathrm{2,}\mathrm{ref}}}$$

Where:

• $m_{{\mathrm{CO}}_2}\left(t_{\mathrm{j,i}}\right)$ is the CO ₂ mass measured between the test start and time t _j,i , g;

• $m_{{\mathrm{CO}}_{\mathrm{2,}\mathrm{ref}}}$ is the CO ₂ mass determined for the NRTC, g;

• t _{2, i} shall be selected such as:

  $$m_{{\mathrm{CO}}_2}\left(t_{\mathrm{2,}i}-\Delta t\right)-m_{{\mathrm{CO}}_2}\left(t_{\mathrm{1,}i}\right)<m_{{\mathrm{CO}}_{\mathrm{2,}\mathrm{ref}}}\le m_{{\mathrm{CO}}_2}\left(t_{\mathrm{2,}i}\right)-m_{{\mathrm{CO}}_2}\left(t_{\mathrm{1,}i}\right)$$

Where Δt is the data sampling period, equal to 1 second or less.

The CO₂ masses are calculated in the averaging windows by integrating the instantaneous gaseous pollutant emissions calculated according to the requirements introduced in point 1.

2.3.1.

Selection of valid averaging windows

$$D_{\max }=3600\times \frac{W_{\mathrm{ref}}}{\mathrm{0,2}\times P_{\max }}$$

2.3.2.

Calculations of the conformity factors

$\mathrm{CF}=\frac{{\mathrm{CF}}_I}{{\mathrm{CF}}_C}$

3.

Rounding of gaseous pollutant emissions calculations

4.

Gaseous pollutant emission results