Document ID: chunk:federal_register_of_legislation:F2024L00447:reg:0:p48
Version: federal_register_of_legislation:F2024L00447
Segment Type: reg
Provision Reference: reg 0 (pt 48/57)
Character Range: 225211–228077

and a sampling frequency of 1 Hz. In this case, a separate speed signal is required for  and shall have an accuracy of at least 0.1 km/h. The speed trace shall form the basis for further calculations and binning as described in paragraphs 3.1.2. and 3.1.3.

              3.1.2. Calculation of distance, acceleration and (v × a)

              The following calculations shall be performed over the whole time based speed trace from the beginning to the end of the test data.

              The distance increment per data sample shall be calculated as follows:

              where:

di     is the distance covered in time step i [m]

νi     is the actual vehicle speed in time step i [km/h]

Nt     is the total number of samples

              The acceleration shall be calculated as follows:

              where:

              𝑎𝑖 is the acceleration in time step i [m/s2].

              For i = 1: 𝑣𝑖−1= 0

              for i = Nt: vi+ 1 =0.

              The product of vehicle speed per acceleration shall be calculated as follows:

              where:

                     (v × a)i  is the product of the actual vehicle speed per acceleration in time step i [m2/s3 or W/kg].

3.1.3. Binning of the results
              3.1.3.1. Binning of the results (for analysis with 4-phase WLTP)

              After the calculation of ai and (v × a)i the values vi, di, ai and (v × a)i shall be ranked in ascending order of the vehicle speed.

              All datasets with (vi ≤ 60 km/h) belong to the 'urban' speed bin, all datasets with (60 km/h < vi ≤ 90 km/h) belong to the 'rural' speed bin and all datasets with (vi > 90 km/h) belong to the 'motorway' speed bin.

              The number of datasets with acceleration values ai > 0.1 m/s2 shall be greater than or equal to 100 in each speed bin.

              For each speed bin the average vehicle speed  shall be calculated as follows:

              where:

              Nk is the total number of samples of the urban, rural, and motorway shares.

3.1.3.2. Binning of the results (for the analysis with 3-phase WLTP)
              After the calculation of ai, vi, di, the values vi, di, ai and (v × a)i shall be ranked in ascending order of the vehicle speed.

              All datasets with (vi ≤ 60 km/h) belong to the 'urban' speed bin and all datasets with (vi > 60 km/h) belong to the 'expressway' speed bin.

              The number of datasets with acceleration values ai > 0.1 m/s2 shall be greater than or equal to 100 in each speed bin.

              For each speed bin the average vehicle speed shall be calculated as follows:

              where:

              Nk is the total number of samples of the urban and expressway shares.

3.1.4. Calculation of per speed bin
              3.1.4.1. Calculation ofper speed bin (for analysis with 4-phase WLTP)

              The 95th