Where:
mmax,fuel = the manufacturer's specified maximum fuel rate on the lowest-power engine expected during testing.
tmin = the minimum test interval duration expected during testing. If the minimum test interval duration decreases with engine power, evaluate Eq. 1065.307-1 for the range of engines expected during testing and use the minimum calculated value of mmax,fuel scale.
Table 1 of § 1065.307 -Measurement Systems That Require Linearity Verification
Measurement system | Quantity | Linearity criteria | |||
|xmin(a1-1)+a0| | a1 | SEE | r2 | ||
Speed | fn | [LESS THAN EQUAL TO]0.05% ·fnmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·fnmax | [GREATER THAN EQUAL TO]0.990 |
Torque | T | [LESS THAN EQUAL TO]1% ·Tmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·Tmax | [GREATER THAN EQUAL TO]0.990 |
Electrical power | P | [LESS THAN EQUAL TO]1% ·Pmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·Pmax | [GREATER THAN EQUAL TO]0.990 |
Current | I | [LESS THAN EQUAL TO]1% ·Imax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·Imax | [GREATER THAN EQUAL TO]0.990 |
Voltage | U | [LESS THAN EQUAL TO]1% ·Umax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·Umax | [GREATER THAN EQUAL TO]0.990 |
Fuel flow rate | m | [LESS THAN EQUAL TO]1% ·mmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·mmax | [GREATER THAN EQUAL TO]0.990 |
Fuel mass scale | m | [LESS THAN EQUAL TO]0.3% ·mmax | 0.996-1.004 | [LESS THAN EQUAL TO]0.4% ·mmax | [GREATER THAN EQUAL TO]0.999 |
DEF flow rate | m | [LESS THAN EQUAL TO]1% ·mmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·mmax | [GREATER THAN EQUAL TO]0.990 |
DEF mass scale | m | [LESS THAN EQUAL TO]0.3% ·mmax | 0.996-1.004 | [LESS THAN EQUAL TO]0.4% ·mmax | [GREATER THAN EQUAL TO]0.999 |
Intake-air flow ratea | n | [LESS THAN EQUAL TO]1% ·nmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·nmax | [GREATER THAN EQUAL TO]0.990 |
Dilution air flow ratea | n | [LESS THAN EQUAL TO]1% ·nmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·nmax | [GREATER THAN EQUAL TO]0.990 |
Diluted exhaust flow ratea | n | [LESS THAN EQUAL TO]1% ·nmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·nmax | [GREATER THAN EQUAL TO]0.990 |
Raw exhaust flow ratea | n | [LESS THAN EQUAL TO]1% ·nmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·nmax | [GREATER THAN EQUAL TO]0.990 |
Batch sampler flow ratesa | n | [LESS THAN EQUAL TO]1% ·nmax | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·nmax | [GREATER THAN EQUAL TO]0.990 |
Gas dividers | x/xspan | [LESS THAN EQUAL TO]0.5% ·xmax/xspan | 0.98-1.02 | [LESS THAN EQUAL TO]2% ·xmax/xspan | [GREATER THAN EQUAL TO]0.990 |
Gas analyzers for laboratory testing | x | [LESS THAN EQUAL TO]0.5% ·xmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·xmax | [GREATER THAN EQUAL TO]0.998 |
Gas analyzers for field testing | x | [LESS THAN EQUAL TO]1% ·xmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·xmax | [GREATER THAN EQUAL TO]0.998 |
Electrical aerosol analyzer for field testing | x | [LESS THAN EQUAL TO]5% ·xmax | 0.85-1.15 | [LESS THAN EQUAL TO]10% ·xmax | [GREATER THAN EQUAL TO]0.950 |
Photoacoustic analyzer for field testing | x | [LESS THAN EQUAL TO]5% ·xmax | 0.90-1.10 | [LESS THAN EQUAL TO]10% ·xmax | [GREATER THAN EQUAL TO]0.980 |
PM balance | m | [LESS THAN EQUAL TO]1% ·mmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·mmax | [GREATER THAN EQUAL TO]0.998 |
Pressures | p | [LESS THAN EQUAL TO]1% · pmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·pmax | [GREATER THAN EQUAL TO]0.998 |
Dewpoint for intake air, PM-stabilization and balance environments | Tdew | [LESS THAN EQUAL TO]0.5% ·Tdewmax | 0.99-1.01 | [LESS THAN EQUAL TO]0.5% ·Tdewmax | [GREATER THAN EQUAL TO]0.998 |
Other dewpoint measurements | Tdew | [LESS THAN EQUAL TO]1% ·Tdewmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·Tdewmax | [GREATER THAN EQUAL TO]0.998 |
Analog-to-digital conversion of temperature signals | T | [LESS THAN EQUAL TO]1% ·Tmax | 0.99-1.01 | [LESS THAN EQUAL TO]1% ·Tmax | [GREATER THAN EQUAL TO]0.998 |
a For flow meters that determine volumetric flow rate, Vstd, you may substitute Vstd for n as the quantity and substitute Vstdmax for nmax.
Table 2 of § 1065.307 -Optional Verification to Linearity Verification
Measurement system | § 1065.341 | § 1065.543 | Restrictions for § 1065.543 |
Intake-air flow rate | Yes | Yes | Determine raw exhaust flow rate using the intake-air flow rate signal as an input into Eq. 1065.655-24 and determine mass of CO2 over each test interval input into Eq. 1065.643-6 using samples taken from the raw exhaust (continuous or bag, and with or without a PFD). |
Dilution air flow rate for CVS | Yes | No | Not allowed. |
Diluted exhaust flow rate for CVS | Yes | Yes | Determine mass of CO2 over each test interval input into Eq. 1065.643-6 using samples taken from the CVS (continuous or bag, and with or without a PFD). |
Raw exhaust flow rate for exhaust stack | Yes | Yes | Determine mass of CO2 over each test interval input into Eq. 1065.643-6 using samples taken from the raw exhaust (continuous or bag, and with or without a PFD). |
Flow measurements in a PFD (usually dilution air and diluted exhaust streams) used to determine the dilution ratio in the PFD | Yes | Yes | Determine mass of CO2 over each test interval input into Eq. 1065.643-6 using samples taken from the PFD (continuous or bag). |
Batch sampler flow rates | Yes | No | Not allowed. |
Fuel mass flow rate | No | Yes | Determine mass of a carbon-carrying fluid stream used as an input into Eq. 1065.643-1 using the fuel mass flow rate meter. |
Fuel mass scale | No | Yes | Determine mass of a carbon-carrying fluid stream used as an input into Eq. 1065.643-1 using the fuel mass scale. |
40 C.F.R. §1065.307