Division 3.1 Calculation of the actual/measured and target power at the wheelsF1

The power and the forces at the wheels from the target and actual/measured speed shall be calculated by applying the following equations:

$F_{i} = f_{0} + f_{1} \times \frac{(V_{i} + V_{i - 1})}{2} + f_{2} \times \frac{{(V_{i} + V_{i - 1})}^{2}}{4} + (TM + m_{r}) \times a_{i}$

$P_{i} = F_{i} \times \frac{(V_{i} + V_{i - 1})}{3,6 \times 2} \times 0,001$

$F_{mi} = f_{0} + f_{1} \times \frac{({Vm}_{i} + {Vm}_{i - 1})}{2} + f_{2} \times \frac{{({Vm}_{i} + {Vm}_{i - 1})}^{2}}{4} + (TM + m_{r}) \times a_{mi}$

$P_{mi} = F_{mi} \times \frac{({Vm}_{i} + {Vm}_{i - 1})}{3,6 \times 2} \times 0,001$

$a_{i} = \frac{(V_{i} - V_{i - 1})}{3,6 \times (t_{i} - t_{i - 1})}$

$a_{mi} = \frac{({Vm}_{i} - {Vm}_{i - 1})}{3,6 \times (t_{i} - t_{i - 1})}$

where:

F_i

is the target driving force during the period from (i – 1) to (i), N;

F_mi

is the actual/measured driving force during the period from (i – 1) to (i), N;

P_i

is the target power during the period from (i – 1) to (i), kW;

P_mi

is the actual/measured power during the period from (i – 1) to (i), kW;

f₀, f₁, f₂

are the road load coefficients from Sub-Annex 4, N, N/(km/h), N/(km/h)²;

V_i

is the target speed at time (i); km/h;

Vm_i

is the actual/measured speed at time (i); km/h;

is the test mass of the vehicle, kg;

m_r

is the equivalent effective mass of rotating components in accordance with paragraph 2.5.1. of Sub-Annex 4, kg;

a_i

is the target acceleration during the period from (i-1) to (i), m/s²;

a_mi

is the actual/measured acceleration during the period from (i – 1) to (i), m/s²;

t_i

is the time, s.

Annotations

Textual amendments

F1: 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).