Division 5 Calculation of cycle energy demand

Unless otherwise specified, the calculation shall be based on the target speed trace given in discrete time sample points.

For the calculation, each time sample point shall be interpreted as a time period. Unless otherwise specified, the duration Δt of these periods shall be 1 second.

The total energy demand E for the whole cycle or a specific cycle phase shall be calculated by summing E_i over the corresponding cycle time between t_start and t_end according to the following equation:

E = \sum_{t_{start}}^{t_{end}} E_{i}

where:

E_{i} = F_{i} \times d_{i} if F_{i} > 0

E_{i} = 0 if F_{i} \leq 0

and:

t_start

is the time at which the applicable test cycle or phase starts, s;

t_end

is the time at which the applicable test cycle or phase ends, s;

E_i

is the energy demand during time period (i-1) to (i), Ws;

F_i

is the driving force during time period (i-1) to (i), N;

d_i

is the distance travelled during time period (i-1) to (i), m.

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} + (1.03 \times TM) \times a_{i}

where:

F_i

is the driving force during time period (i-1) to (i), N;

F1v_i

is the target velocity at time t_i, km/h;

is the test mass, kg;

a_i

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

f₀, f₁, f₂ are the road load coefficients for the test vehicle under consideration (TM_L, TM_H or TM_ind) in N, N/km/h and in N/(km/h)² respectively.

d_{i} = \frac{(v_{i} + v_{i - 1})}{2 \times 3,6} \times (t_{i} - t_{i - 1})

where:

d_i

is the distance travelled in time period (i-1) to (i), m;

v_i

is the target velocity at time t_i, km/h;

t_i

is time, s.

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

where:

a_i

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

v_i

is the target velocity at time t_i, km/h;

t_i

is time, s.

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).