Calibration and Validation of a Mean Value Model for Turbocharged Diesel Engine

Abstract

In order to meet the high requirements of the control strategies for an effective and accuracy control-oriented model, a mean value model for a turbocharged diesel engine has been developed on the Matlab/Simulink. And then the error sources leading to the simulation inaccuracy have been analyzed comprehensively and two sets of experiments for model calibration and validation have been designed. Then a model calibration process and a model validation process have been proposed, with which the developed model is well calibrated and validated against the two sets of experimental data. Especially, for the compressor model calibration, an improved Jensen and Kristense method has been introduced to interpolate and extend the compressor maps. And turbine efficiency observer is designed for the rectification of turbine maps. At last, the calibration and validation process and improved methods and observer for turbocharger are verified and evaluated.

Design of a speed tracking controller for heavy-duty vehicles with an all-speed governor based on a model predictive control strategy

“…We built the heavy-duty vehicle simulation model in MATLAB/Simulink according to the modeling and parameterization methods in previous studies, 14,15,18,19 depicted in Figure 6, which is the overall simulation model consisting of the ''Road_Cycle,'' ''Driver,'' ''Engine_Control_Unit'' and ''Heavy_Duty_Vehicle'' modules. The ''Road_Cycle'' module includes the configuration of the road and driving conditions; the ''Driver'' module controls the accelerator and brake pedals according to road and driving conditions; the ''Driver'' module uses a PI controller that computes the error in the driving cycle velocity and has simulated velocity as input and pedal percent as output; the ''Engine_Control_Unit'' module controls fuel injection quantity according to inputs like accelerator pedal position and vehicle driving information; the ''Heavy_Duty_Vehicle'' module simulates the heavyduty vehicle longitudinal dynamics.…”

“…The ''Heavy_duty_vehicle'' module includes many component models. The engine model based on mean value modeling theory 15,18 is shown in Figure 7. The automatic transmission model, which includes a hydraulic converter, a four-speed gearbox and two parameters for accelerator pedal position and vehicle speed, determines the gear shift strategy.…”

“…The indicated thermal efficiency of a turbocharged diesel engine depends on speed, fuel injection quantity and the air condition, 14 and all these relationships are difficult to decouple for individual calibration. The following equation calculates the indicated thermal efficiency η i t as a function of speed and air–fuel ratio 14,15…”

A two-zone reaction-based combustion model for a spark-ignition engine

“…4 GT-power models are significantly simplified over the CFD ones, but it still cannot be used for real-time simulations. On the other hand, the 0D single zone combustion model, such as the mean-value model, 5 was widely used for control design due to its ability of conducting real-time simulations. To reduce simulation time, it uses maps to model the complex combustion process.…”

“…Rakopoulos and colleagues 2,10 proposed a multi-zone combustion model for engine transient performance and NOx (nitric-oxide) formation of a syngas SI engine. However, the MFB rate of these discussed two- and multi-zone models 5–14 is generated by an empirical Wiebe function that needs to be calibrated as a function of engine speed, load, and exhaust-gas-recirculation (EGR) for each engine operating condition.…”