Document ID: chunk:federal_register_of_legislation:F2023C00229:reg:5:p2
Version: federal_register_of_legislation:F2023C00229
Segment Type: reg
Provision Reference: reg 5 (pt 2/36)
Character Range: 417320–422408

(m-1)     0,427532
  Y271 (m-1)     0,542383
  Y270 (m-1)     0,542337

              Calculation of the k-value (Annex III, Appendix 1, Section 6.3.1):
              This value corresponds to S272 in the following equation.

              Calculation of Bessel averaged smoke (Annex III, Appendix 1, Section 6.3.2):

              In the following equation, the Bessel constants of the previous Section 2.2 are used. The actual unfiltered k-value, as calculated above, corresponds to S272 (Si). S271 (Si-1) and S270 (Si-2) are the two preceding unfiltered k-values, Y271 (Yi-1) and Y270 (Yi-2) are the two preceding filtered k-values.

              This value corresponds to Ymax1,A in the following equation.

              Calculation of the final smoke value (Annex III, Appendix 1, Section 6.3.3):

              From each smoke trace, the maximum filtered k-value is taken for the further calculation. Assume the following values

                            Ymax (m-1)
   Speed
    Cycle 1     Cycle 2                   Cycle 3
     A           0,5424                    0,5435    0,5587
     B           0,5596                    0,5400    0,5389
     C           0,4912                    0,5207    0,5177

              SVA = (0,5424 + 0,5435 + 0,5587) / 3 = 0,5482 m-1

              SVB = (0,5596 + 0,5400 + 0,5389) / 3 = 0,5462 m-1

              SVC = (0,4912 + 0,5207 + 0,5177) / 3 = 0,5099 m-1

              SV = (0,43 × 0,5482) + (0,56 × 0,5462) + (0,01 × 0,5099) = 0,5467 m-1

              Cycle validation (Annex III, Appendix 1, Section 3.4)

              Before calculating SV, the cycle must be validated by calculating the relative standard deviations of the smoke of the three cycles for each speed.

              Mean SV (m-1)       Absolute standard deviation (m-1)       Relative standard deviation (%)
   Speed
A             0,5482            0,0091                                 1,7
B             0,5462            0,0116                                 2,1
C             0,5099            0,0162                                 3,2

              In this example, the validation criteria of 15 % are met for each speed.

Table C

        Values of opacity N, unfiltered and filtered k-value at beginning of load step

   Index i [-]      Time [s]      Opacity N [%]      Unfiltered k-value [m-1]      Filtered k-value [m-1]
    - 2         0,000000        0,000000          0,000000                       0,000000
    - 1         0,000000        0,000000          0,000000                       0,000000
    0           0,000000        0,000000          0,000000                       0,000000
    1           0,006667        0,020000          0,000465                       0,000000
    2           0,013333        0,020000          0,000465                       0,000000
    3           0,020000        0,020000          0,000465                       0,000000
    4           0,026667        0,020000          0,000465                       0,000001
    5           0,033333        0,020000          0,000465                       0,000002
    6           0,040000        0,020000          0,000465                       0,000002
    7           0,046667        0,020000          0,000465                       0,000003
    8           0,053333        0,020000          0,000465                       0,000004
    9           0,060000        0,020000          0,000465                       0,000005
    10          0,066667        0,020000          0,000465                       0,000006
    11          0,073333        0,020000          0,000465                       0,000008
    12          0,080000        0,020000          0,000465                       0,000009
    13          0,086667        0,020000          0,000465                       0,000011
    14          0,093333        0,020000          0,000465                       0,000012
    15          0,100000        0,192000          0,004469                       0,000014
    16          0,106667        0,212000          0,004935                       0,000018
    17          0,113333        0,212000          0,004935                       0,000022
    18          0,120000        0,212000          0,004935                       0,000028
    19          0,126667        0,343000          0,007990                       0,000036
    20          0,133333        0,566000          0,013200                       0,000047
    21          0,140000        0,889000          0,020767                       0,000061
    22          0,146667        0,929000          0,021706                       0,000082
    23          0,153333        0,929000          0,021706                       0,000109
    24          0,160000        1,263000          0,029559                       0,000143
    25          0,166667        1,455000          0,034086                       0,000185
    26          0,173333        1,697000          0,039804                       0,000237
    27          0,180000        2,030000          0,047695                       0,000301
    28          0,186667