Modal Analysis of Fuel Injection Systems and Determination of a Transfer Function between Rail Pressure and Injection Rate

[+] Author and Article Information
Alessandro Ferrari

Department of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

Federica Paolicelli

Department of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

1Corresponding author.

ASME doi:10.1115/1.4039348 History: Received November 26, 2016; Revised January 18, 2018


An analysis of a Common Rail fuel injection system has been performed in the frequency domain. A lumped parameter model of the high-pressure hydraulic circuit, from the pump delivery to the injector nozzle, has been realized. The model outcomes have been validated through a comparison with frequency values that were obtained by applying the peak-picking technique to the experimental pressure traces acquired from the pipe that connects the injector to the rail. The eigenvectors associated with the eigenfrequencies have been physically interpreted, thus providing a methodology for the modal analysis of hydraulic systems. Three main modes have been identified and the possible resonances with the external forcing terms have been discussed. The rail is involved in the first two vibration modes. In the first mode, the rail performs a decoupling action between the high-pressure pump and the downstream hydraulic circuit. Consequently, the oscillations generated by the pump flow rates mainly remain confined to the pipe between the pump and the rail. The second mode is centered on the rail and involves a large part of the hydraulic circuit, both upstream and downstream of the rail. Finally, the third mode principally affects the injector internal hydraulic circuit. It has been found that some geometric features of the injection apparatus have a significant effect on the system dynamics and can induce hydraulic resonance phenomena. Furthermore, the lumped parameter model has been used to determine a simplified transfer function between the rail pressure and injected flow-rate.

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