A new model for Fast-acting electromagnetic fuel injector analysis and design

Abstract

The electromagnetic fuel injector (EFI) predominates in almost all electronic spark-ignited engine control systems because of its simple, precise and reliable functioning. A new non-linear general mathematical model to predict the EFI performance and to confront its theoretic response with experimental data is proposed. A confrontation to the Element Finite Method is also done

Development of a high-speed solenoid valve: an investigation of the importance of the armature mass on the dynamic response

“…(1) and represented in Fig.4 was adopted because: a) it allows the use of Laplace's transforms and consequently, the application of the root-locus method (very much used in the analysis of linear systems); b) even when such a complete and sophisticated model is not used, the chosen model supplies satisfactory results [because only a part of the problem is studied: that in which the non-linearities are small. It will be shown latter that the simulation done with a much more complex and complete model (Passarini, 1993) has confirmed the results obtained with this simpler approach ].…”

“…The results described above were verified under simulation, since the model used is quite reliable (Passarini, 1993). The simulation was applied to a well-known EFI prototype.…”

“…If some effects are not significant at some times, at other times they contribute significantly. Authors like Smith-Spinweber (1980), Karidis-Turns (1982), MacBain (1985), Kushida (1985), Pawlack-Nehl (1988), Lesquesne (1990a), Yuan-Chen (1990), , Ohdachi et al (1991), Kajima (1992 and, Passarini (1993), Rahman et al (1996), Ando et al (2001), Szente-Vad (2001) and Passarini-Pinotti Jr. (2003) diverge when describing the armature movement of the of the EFI and as to which of the above mentioned phenomena should be considered and which should be neglected. It seems that most of these authors consider it sufficient to calculate precisely the magnetic force attraction, F mag to accurately define the armature movement because basically their mathematical model is described by only three forces, magnetic, elastic (Hook's law) and viscous as shown in Eq.…”

“…For a more complete discussion on modelling an EFI's mechanical system, please refer to Passarini-Pinotti Jr. (2003). In this article this traditional basically linear mass-spring-damper (MKsB) governed by Eq.…”

“…The linearized model was obtained according to Passarini (1993) and the parameters K s and B were found.…”