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A manifold filling model is used to derive a real time cylinder air charge estimate for mass air flow rate sensor equipped vehicles. The derivation shows that a simple first order linear difference equation in the discrete cylinder event domain is obtained from a coupled set of nonlinear differential equations.

A fuel system design objective is to have the fuel injection pressure at target pressure by the time of the first injection. In most cases, a vapor and air space forms in the highest and hottest part of the fuel injector supply as the fuel system cools following engine-off. Upon key-on, the fuel pump needs to collapse the fuel vapor and compress any air before fuel pressure can build thus delaying fuel injector re-pressurization. An inventive solution to speed re-pressurization is described. It effectively eliminates the need to collapse the fuel vapor and compress any air in the first few tenths of seconds of fuel injection re-pressurization. The factors that affect fuel injection re-pressurization time are discussed.

A time-efficient throttle flow data collection method is described. It uses a sonic nozzle flow bench to measure air flow as a function of throttle angle and pressure in a manner analogous to on-engine dynamometer throttle flow characterization. Opening each sonic nozzle combination, then recording throttle downstream pressure and computed nozzle flow allows data to be taken in a fraction of the time normally needed. Throttle flow modeling considerations are then discussed.