Document ID: chunk:federal_register_of_legislation:F2024L00447:reg:0:p51
Version: federal_register_of_legislation:F2024L00447
Segment Type: reg
Provision Reference: reg 0 (pt 51/57)
Character Range: 233352–236370

the first smoothing run at the discrete way point under consideration d [m above sea level]

hmap(t)         —  vehicle altitude based on topographic map at data point t [m above sea level]

roadgrade,1(d)  —  smoothed road grade at the discrete way point under consideration d after the first smoothing run [m/m]

roadgrade,2(d)  —  smoothed road grade at the discrete way point under consideration d after the second smoothing run [m/m]

sin             —  trigonometric sine function

t               —  time passed since test start [s]

t0              —  time passed at the measurement directly located before the respective way point d [s]

vi              —  instantaneous vehicle speed [km/h]

v(t)            —  vehicle speed at a data point t [km/h]

3. General requirements
              The cumulative positive elevation gain of a RDE trip shall be determined based on three parameters: the instantaneous vehicle altitude hGNSS,i [m above sea level] as measured with the GNSS, the instantaneous vehicle speed vi [km/h] recorded at a frequency of 1 Hz and the corresponding time t [s] that has passed since test start.

              4. Calculation of cumulative positive elevation gain

              4.1. General

              The cumulative positive elevation gain of a RDE trip shall be calculated as a two-step procedure, consisting of (i) the correction of instantaneous vehicle altitude data, and (ii) the calculation of the cumulative positive elevation gain.

              4.2. Correction of instantaneous vehicle altitude data

              The altitude h(0) at the start of a trip at d(0) shall be obtained by GNSS and verified for correctness with information from a topographic map. The deviation shall not be larger than 40 m. Any instantaneous altitude data h(t) shall be corrected if the following condition applies:

              The altitude correction shall be applied so that:

              where:

h(t)        —  vehicle altitude after the screening and principle check of data quality at data point t [m above sea level]

h(t-1)      —  vehicle altitude after the screening and principle check of data quality at data point t-1 [m above sea level]

v(t)        —  vehicle speed of data point t [km/h]

hcorr(t)    —  corrected instantaneous vehicle altitude at data point t [m above sea level]

hcorr(t-1)  —  corrected instantaneous vehicle altitude at data point t-1 [m above sea level]

Upon the completion of the correction procedure, a valid set of altitude data is established. This data set shall be used for the calculation of the cumulative positive elevation gain as described in the following.
              4.3. Final calculation of the cumulative positive elevation gain

              4.3.1. Establishment of a uniform spatial resolution

              The cumulative elevation gain shall be calculated from data of a constant spatial resolution of 1 m starting with the first measurement at the start of a trip d(0). The discrete data points at a resolution of 1