This section describes optional procedures for quantifying the reduction in greenhouse gas emissions for vehicles as a result of running power take-off (PTO) devices with a hybrid energy delivery system. See 40 CFR 1036.545 for powertrain testing requirements that apply for drivetrain hybrid systems. The procedures are written to test the PTO by ensuring that the engine produces all of the energy with no net change in stored energy (charge-sustaining), and for plug-in hybrid electric vehicles, also allowing for drawing down the stored energy (charge-depleting). The full charge-sustaining test for the hybrid vehicle is from a fully charged rechargeable energy storage system (RESS) to a depleted RESS and then back to a fully charged RESS. You must include all hardware for the PTO system. You may ask us to modify the provisions of this section to allow testing hybrid vehicles that use a technology other than batteries for storing energy, consistent with good engineering judgment. For plug-in hybrid electric vehicles, use a utility factor to properly weight charge-sustaining and charge-depleting operation as described in paragraph (f)(3) of this section.
Where:
prefi = the reference pressure at each point i in the PTO cycle.
pi = the normalized pressure at each point i in the PTO cycle (relative to
pmax).
pmax = the mean maximum pressure measured in paragraph (b)(2) of this section.
pmin = the mean minimum pressure measured in paragraph (b)(2) of this section.
Table 1 to Paragraph (b)(8) of § 1037.540 -Statistical Criteria for Validating Each Test Run Over the Duty Cycle
Parametera | Pressure |
Slope, a1 | 0.950 [LESS THAN EQUAL TO]a1 [LESS THAN EQUAL TO]1.030. |
Absolute value of intercept, |a0| | [LESS THAN EQUAL TO]2.0% of maximum mapped pressure. |
Standard error of the estimate, SEE | [LESS THAN EQUAL TO]10% of maximum mapped pressure. |
Coefficient of determination, r2 | [GREATER THAN EQUAL TO]0.970. |
a Determine values for specified parameters as described in 40 CFR 1065.514(e) by comparing measured values to denormalized pressure values from the duty cycle in appendix B of this part. |
Where:
i = an indexing variable that represents one recorded value.
N = number of measurement intervals.
pcircuit-1,i = normalized pressure command from circuit 1 of the PTO cycle for each point, i, starting from i = 1.
pcircuit-2,i = normalized pressure command from circuit 2 of the PTO cycle for each point, i, starting from i = 1. Let pcircuit-2 = 0 if there is only one circuit.
pcircuit-1 = the mean normalized pressure command from circuit 1 over the entire PTO cycle.
pcircuit-2 = the mean normalized pressure command from circuit 2 over the entire PTO cycle. Let
pcircuit-2 = 0 if there is only one circuit.
[DELTA]t = the time interval between measurements. For example, at 100 Hz, [DELTA]t = 0.0100 seconds.
Eq. 1037.540-3
Where:
i = an indexing variable that represents one test interval.
N = total number of charge-depleting test intervals.
mfuelPTOCD = total mass of fuel per ton-mile in the charge-depleting portion of the test for each test interval, i, starting from i = 1.
UFDCDi = utility factor fraction at time tCDi as determined in paragraph (f)(3)(i) of this section for each test interval, i, starting from i = 1.
j = an indexing variable that represents one test interval.
M = total number of charge-sustaining test intervals.
mfuelPTOCS = total mass of fuel per ton-mile in the charge-sustaining portion of the test for each test interval, j, starting from j = 1.
UFRCD = utility factor fraction at the full charge-depleting time, tCD, as determined by interpolating the utility factor curve in appendix E to this part. tCD is the sum of the time over N charge-depleting test intervals.
40 C.F.R. §1037.540