Application of singular perturbation theory to compressible mass flow rate integration

Author

Powell, Barry K.

Author_Institution

Ford Motor Co., Dearborn, MI, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

3565

Abstract

A time efficient digital integration method for the solution of the orifice mass flow rate equations common in internal combustion engine breathing process simulation is discussed. Local linearization followed by development of a standard singular perturbation model is used to synthesize digital integrating factors that are applied to the original nonlinear differential equations. This approach results in a method suitable for high-speed flow rate integration over the entire flow rate operating range. Analytical development of the method and simulation results are summarized

Keywords

compressible flow; integration; internal combustion engines; mechanical engineering computing; perturbation techniques; power engineering computing; compressible mass flow rate integration; digital integration; internal combustion engine breathing process simulation; linearization; mechanical engineering computing; nonlinear differential equations; power engineering computing; singular perturbation theory; Differential equations; Engine cylinders; Internal combustion engines; Laboratories; Nonlinear equations; Orifices; Partial discharges; Standards development; Temperature; Valves;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203490

Filename

203490