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A process for providing a real-time estimation of in-cylinder NOx production rates during a combustion process in an internal combustion engine. The process employs a model that takes into account fundamental in-cylinder variables such as temperature, pressure and oxygen content. The process can be

A process for providing a real-time estimation of in-cylinder NOx production rates during a combustion process in an internal combustion engine. The process employs a model that takes into account fundamental in-cylinder variables such as temperature, pressure and oxygen content. The process can be used with calibrated or uncalibrated internal combustion engines and can be used to capture the effects in variations of engine speed, engine torque, EGR, injection timing, and engine boost levels.

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1. A process for providing a real-time estimation of in-cylinder NOx production rates during a combustion process in an internal combustion engine, the process comprising:receiving a plurality of input values from a combustion chamber of a cylinder, wherein the input values consist essentially of a

1. A process for providing a real-time estimation of in-cylinder NOx production rates during a combustion process in an internal combustion engine, the process comprising:receiving a plurality of input values from a combustion chamber of a cylinder, wherein the input values consist essentially of a mass amount of trapped air in the combustion chamber, a mass amount of trapped fuel in the combustion chamber, a total mass of species generated within a combustion zone as a fraction of total in-cylinder mass, and a correlation value from a lookup table derived from an average NOx temperature of the combustion zone; andcalculating an output signal from the plurality of input values, wherein the output signal produces a real-time estimate of the NOx production rate from the cylinder. 2. The process according to claim 1, wherein the average NOx temperature value is determined from a trapped air mass value, a cylinder pressure at top dead center, and a cylinder pressure at maximum temperature. 3. The process according to claim 1, wherein the average NOx temperature value is calculated in accordance with the following mathematical relationship:wherein T burn is the average NOx temperature, m air is a trapped air mass value, m stp is a trapped mass value at standard temperature and pressure with a volumetric efficiency of 1, P Tmax is a cylinder pressure at maximum temperature, P TDC is a cylinder pressure at top dead center, and a, b, and c are constants. 4. The process according to claim 1, wherein the average NOx temperature is determined at a peak in-cylinder average temperature condition. 5. The process according to claim 1, wherein the combustion zone comprises reacting burned fuel at a peak temperature with a stoichiometric amount of air and a recirculated exhaust gas. 6. The process according to claim 1, wherein the correlation value comprises a chemical equilibrium calculation for NOx species produced in the combustion zone. 7. The process according to claim 6, wherein the chemical equilibrium calculation comprises determining a mole fraction of species produced in the combustion zone at the average temperature value by minimizing a total Gibbs free energy for all species. 8. A process for providing a real-time estimation of in-cylinder NOx production rates during a combustion process in an internal combustion engine comprising:calculating an average NOx producing temperature value in a combustion zone of a cylinder combustion chamber;correlating the average NOx producing temperature value to a correlation value in a look-up table; andestimating the in-cylinder NOx production rate from a calculation including the correlation value, an amount of trapped air in the combustion chamber, an amount of trapped unburned fuel in the combustion chamber, and a total mass of species generated within a combustion zone as a fraction of total in-cylinder mass. 9. The process according to claim 8, wherein the average temperature value is determined from a mathematical relationship comprising:wherein T burn is the average temperature value, m air is a trapped air mass value, m stp is a trapped mass value at standard temperature and pressure with a volumetric efficiency of 1, P Tmax is a cylinder pressure at maximum temperature, P TDC is a cylinder pressure at top dead center, and a, b, and c are constants. 10. The process according to claim 8, wherein the correlation value comprises a chemical equilibrium calculation for the NOx species. 11. The process according to claim 8, is dependent on in from a mass air flow value, a cylinder pressure at top dead center, and a cylinder pressure at maximum temperature within a combustion zone. 12. The process according to claim 11, wherein the chemical equilibrium calculation comprises determining a mole fraction of species produced in the combustion zone at the average temperature value by minimizing a total Gibbs free energy for all species.