Marine spark-ignition engine regulations: technical guidance, appendix C

Appendix C: Sample Fleet Averaging Calculations for Marine Engines and Off-Road Recreational Vehicles

Example scenario: Company XYZ imports 200 personal watercraft (2 emission families) and 300 ATVs (3 emission families) during the 2016 model year. Table 1 presents the values used in calculating the family emission credits and deficits for the marine engines, and Table 2 presents the values used in calculating the fleet average emission values and fleet average emission credits and deficits for the off-road recreational vehicles. The example calculations below are intended to demonstrate how to use the formulas presented in the Regulations. The tables present the values used in these example calculations and do not replace the suggested tables in the template of Appendix B for reporting the information required by the Regulations.

Note: For fuel tank permeation, Y_i is the number of vehicles in emission family "i" multiplied by the average internal surface area of the vehicles' fuel tanks (m²) (see section 29 of the Regulations and section 7.15.2 of this document).

Example calculations for marine engines (see section 7.14 of this document)

Calculate the HC+NO_x and CO family emission credits or deficits for each emission family in the fleet of 200 personal watercraft (50 of emission family 1 and 150 of emission family 2), using the formula presented in subsection 26(2) of the Regulations:

HC+NO_x exhaust emissions

For emission family 1,

HC+NO_x family emission credits or deficits

= (S - L) × N × P × U × 0.207 × 10^-3

= (30 - 25) g/kW-hr x 50 x 4.0 kW x 350 hr x 0.207 x 10^-3 kg/g

= 72.45 kg

For emission family 2,

HC+NO_x family emission credits or deficits

= (S - L) × N × P × U × 0.207 × 10^-3

= (17.2 - 35) g/kW-hr x 150 x 50 kW x 350 hr x 0.207 x 10^-3 kg/g

= -9672.08 kg

As per subsection 26(1) of the Regulations, total the HC+NO_x family emission credits and deficits for each emission family to determine the fleet average emission credits or deficit:

HC+NO_x fleet average emission credits or deficit

= HC+NO_x family emission credits for emission family 1 + HC+NO_x family emission credits for emission family 2

= 72.45 kg + -9672.08 kg

= - 9599.63 kg

The result is negative, and therefore the company has -9600 kg of HC+NO_x fleet average emission deficits to offset before it submits its end of model year report for the 2016 model year.

CO exhaust emissions

For emission family 1,

CO family emission credits or deficits

= (S - L) × N × P × U × 0.207 × 10^-3

= (480 - 550) g/kW-hr x 50 x 4.0 kW x 350 hr x 0.207 x 10^-3 kg/g

= -1014.30 kg

For emission family 2,

CO family emission credits or deficits

= (S - L) × N × P × U × 0.207 × 10^-3

= (300 - 200) g/kW-hr x 150 x 50 kW x 350 hr x 0.207 x 10^-3 kg/g

= 54 337.50 kg

As per subsection 26(1) of the Regulations, total the CO family emission credits and deficits for each emission family to determine the fleet average emission credits or deficit:

CO fleet average emission credits or deficit

= CO family emission credits for emission family 1 + CO family emission credits for emission family 2

= -1014.30 kg + 54 337.50 kg

= 53 323.20 kg

The result is positive, and therefore the company conforms with the CO emission standard for this fleet of personal watercraft engines. In accordance with subsection 27(5) of the Regulations, the 53 323 kg of CO fleet average emission credits are cancelled upon receipt of the end of model year report, and the company cannot bank or transfer these credits to another company.

Example calculations for off-road recreational vehicles (see section 7.15 of this document).

Calculate the HC+NO_x and fuel tank permeation fleet average emission values, and the fleet average emission credits and deficits, for the fleet of 300 ATVs (50 of emission family 1, 100 of emission family 2, and 150 of emission family 3), using the formulas presented in subsections 29(1) and 30(3) of the Regulations:

HC+NO_x exhaust emissions

HC+NO_x fleet average emission value [B]

= [(15 g/km x 50 x 10 000 km) + (0.5 g/km x 100 x 10 000 km) + (1.0 g/km x 150 x 10 000 km)]
[(50 x 10 000 km) + (100 x 10 000 km) + (150 x 10 000 km)]

= 3.2 g/km

HC+NO_x fleet average emission credits or deficits

= (1.5 g/km - 3.2 g/km) x [(50 x 10 000 km) + (100 x 10 000 km) + (150 x 10 000 km)]

= -5 100 000.0 g

The result is negative, and therefore the company has -5 100 000.0 g of HC+NO_x fleet average emission deficits to offset before it submits its end of model year report for the 2016 model year.

Fuel tank permeation emissions

Fuel tank permeation fleet average emission value [B]

= [(1.8 g/m²/d x 19 m² x 1826.2 d) + (1.0 g/m²/d x 38 m² x 1826.2 d) + (1.4 g/m²/d x 57 m² x 1826.2 d)]
[(19 m² x 1826.2 d) + (38 m² x 1826.2 d) + (57 m² x 1826.2 d)]

= 1.3 g/m²/day

Fuel tank permeation fleet average emission credits or deficit

= (1.5 g/m²/d - 1.3 g/m²/d) x [(19 m² x 1826.2 d) + (38 m² x 1826.2 d) + (57 m² x 1826.2 d)]

= 41 637.4 g

The result is positive, and therefore the company will obtain 41 637.4 g of fuel tank permeation fleet average emission credits to bank or transfer to another company once these credits are reported in the end of model year report for the 2016 model year.