Common use of Linearity requirements Clause in Contracts

Linearity requirements. All analysers, flow-measuring instruments, sensors and signals shall comply with the linearity requirements given in Table A5/1. If air flow, fuel flow, the air-to-fuel ratio or the exhaust mass flow rate is obtained from the ECU, the calculated exhaust mass flow rate shall meet the linearity requirements specified in Table A5/1. Table A5/1 Measurement parameter/instrument |𝑥𝑚𝑖𝑛 × (𝑎1 − 1) + 𝑎0| Slope a1 Standard error of the estimate SEE Coefficient of determination r2 Fuel flow rate1 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 Air flow rate2 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 Exhaust mass flow rate ≤ 2 % xmax 0.97 – 1.03 ≤ 3 % of xmax ≥ 0.990 Gas analysers ≤ 0.5 % max 0.99 – 1.01 ≤ 1 % of xmax ≥ 0.998 Torque3 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 PN analysers4 ≤ 5 % xmax 0.85 – 1.155 ≤ 10 % of xmax ≥ 0.950 1 optional to determine exhaust mass flow.

Linearity requirements. All analysers, flow-measuring instruments, sensors and signals shall comply with the linearity requirements given in Table A5/1. If air flow, fuel flow, the air-to-fuel ratio or the exhaust mass flow rate is obtained from the ECU, the calculated exhaust mass flow rate shall meet the linearity requirements specified in Table A5/1. Table A5/1 Measurement parameter/instrument |𝑥𝑚𝑖𝑛 × (𝑎1 − 1) + 𝑎0| Slope a1 Standard error of the estimate SEE Coefficient of determination r2 Fuel flow rate14 rate1 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 Air flow rate15 rate2 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 Exhaust mass flow rate ≤ 2 % xmax 0.97 – 1.03 ≤ 3 % of xmax ≥ 0.990 Gas analysers ≤ 0.5 % max 0.99 – 1.01 ≤ 1 % of xmax ≥ 0.998 ToTorque16 rque3 ≤ 1 % xmax 0.98 – 1.02 ≤ 2 % of xmax ≥ 0.990 PN analyanalysers17 sers4 ≤ 5 % xmax 0.85 – 1.1518 1.155 ≤ 10 % of xmax ≥ 0.950 1 optional to determine exhaust mass0.950 flow.