B-splines for Diesel Engine Emission Modeling
Paper i proceeding, 2012

The equivalence between linear interpolation and B-spline functions of degree 1 is described. The equivalence is used to express interpolation based diesel engine NOX and soot emission models as B-spline functions, and to apply data fitting methods for B-spline functions to perform calibration of the models. This strategy leads to that the model calibration can be calculated directly by means of analytically solving a minimization problem. The B-spline representation also makes it possible to control the smoothness and extrapolation behavior of the interpolation maps in the models in a controlled manner. The models have been calibrated using measured steady-state data from a 5-cylinder Volvo passenger car diesel engine with a displacement volume of 2.4 liters, equipped with a turbocharger, an exhaust gas recirculation system, and a common rail injection system. The calibrated model for NOX emissions predicts the NOX mass ow with a root mean square error of 1.6 mg/s, and the calibrated model for soot emissions predicts the soot mass ow with a root mean square error of 0.65 mg/s. The described equivalence between linear interpolation and B-spline functions of degree 1 could also be used for calibration of other models of similar structure.

Diesel engines

Engine modeling

Interpolation

Splines

Författare

Markus Grahn

Chalmers, Signaler och system, Signalbehandling och medicinsk teknik, Signalbehandling

Krister Johansson

Volvo

Tomas McKelvey

Chalmers, Signaler och system, Signalbehandling och medicinsk teknik, Signalbehandling

2012 Workshop on Engine and Powertrain Control, Simulation and Modeling. The International Federation of Automatic Control Rueil-Malmaison, France, October 23-25, 2012

1474-6670 (ISSN)

416-423

Ämneskategorier

Annan maskinteknik

Reglerteknik

Signalbehandling

Styrkeområden

Transport

Energi

DOI

10.3182/20121023-3-FR-4025.00008

ISBN

9783902823168