Systematic Investigation of a Large Two-Stroke Engine Crankshaft Dynamics Model

The crankshaft dynamics model is of vital importance to a multitude of aspects on engine diagnostics; however, systematic investigations of such models performance (especially for large two-stroke diesel engines that are widely used in the power generation and shipping industries) have not been reported in the literature. This study aims to cover this gap by systematically investigating the parameters that affect the performance of a two-stroke diesel engine crankshaft dynamics model, such as the numerical scheme as well as the engine components inertia and friction. Specifically, the following alternatives are analysed: (a) two optimal performing numerical schemes, in particular, a stiff ordinary differential equations (ODE) solver and a fast solver based on a piecewise Linear Time-Invariant (LTI) scheme method, (b) the linear and the non-linear inertia-speed approaches, and (c) three engine friction submodels of varying complexity. All the potential combinations of the alternatives are investigated, and the crankshaft dynamics model performance is evaluated by employing Key Performance Indicators (KPIs), which consider the results accuracy compared to the measured data, the computational time, and the energy balance error. The results demonstrate that the best performing combination includes the stiff ODE solver, the constant inertia-speed approach and the most simplistic engine friction submodel. However, the LTI numerical scheme is recommended for applications that require fast response due to the significant savings in computational time with an acceptable compromise in the model results accuracy.

[1]  Lakmal Seneviratne,et al.  Dynamic simulation of a single-cylinder diesel engine including dynamometer modelling and friction , 1999 .

[2]  Sotirios Natsiavas,et al.  Linear and nonlinear dynamics of reciprocating engines , 2003 .

[3]  Zoran Filipi,et al.  A Nonlinear, Transient, Single-Cylinder Diesel Engine Simulation for Predictions of Instantaneous Engine Speed and Torque , 2001 .

[4]  Zoran Ristovski,et al.  Global impacts of recent IMO regulations on marine fuel oil refining processes and ship emissions , 2019, Transportation Research Part D: Transport and Environment.

[5]  Miguel Torres García,et al.  Measurement and analysis of instantaneous torque and angular velocity variations of a low speed two stroke diesel engine , 2014 .

[6]  A. S. Mendes,et al.  Analysis of torsional vibration in internal combustion engines: Modelling and experimental validation , 2008 .

[7]  John C. Butcher,et al.  High Order A-stable Numerical Methods for Stiff Problems , 2005, J. Sci. Comput..

[8]  Hui Chen,et al.  Development of an extended mean value engine model for predicting the marine two-stroke engine operation at varying settings , 2018 .

[9]  Ioannis E. Margaronis.  The torsional vibrations of marine Diesel engines under fault operation of its cylinders , 1992 .

[10]  Donald W. Stanton,et al.  Systematic Development of Highly Efficient and Clean Engines to Meet Future Commercial Vehicle Greenhouse Gas Regulations , 2013 .

[11]  Stefan Schagerberg,et al.  SI-Engine Cylinder Pressure Estimation using Torque Sensors , 2004 .

[12]  Feilong Liu,et al.  An Experimental Study on Engine Dynamics Model Based In-Cylinder Pressure Estimation , 2012 .

[13]  Karolos M. Grigoriadis,et al.  Real-time brake torque estimation for internal combustion engines , 2008 .

[14]  Tomas McKelvey,et al.  Instantaneous Crankshaft Torque Measurements - Modeling and Validation , 2003 .

[15]  Youyi Wang,et al.  Modeling and Control of Marine Diesel Generator System With Active Protection , 2018, IEEE Transactions on Transportation Electrification.

[16]  Evangelos G. Giakoumis,et al.  Instantaneous crankshaft torsional deformation during turbocharged diesel engine operation , 2010 .

[17]  Mikael Thor,et al.  Using combustion net torque for estimation of combustion properties from measurements of crankshaft torque , 2014 .

[18]  Robert B. Randall,et al.  Model-based diagnosis of large diesel engines based on angular speed variations of the crankshaft , 2010 .

[19]  Linda R. Petzold,et al.  An Efficient Newton-Type Iteration for the Numerical Solution of Highly Oscillatory Constrained Multibody Dynamic Systems , 1998, SIAM J. Sci. Comput..

[20]  Frank Willems,et al.  Robust cylinder pressure estimation in heavy-duty diesel engines , 2018 .

[21]  Francisco J. Jiménez-Espadafor,et al.  Torsional system dynamics of low speed diesel engines based on instantaneous torque: Application to engine diagnosis , 2019, Mechanical Systems and Signal Processing.

[22]  Mikael Thor,et al.  Closed-loop diesel engine combustion phasing control based on crankshaft torque measurements , 2014 .

[23]  Kumar K. Tamma,et al.  On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition , 2017 .

[24]  Lars Eriksson,et al.  Control-oriented modeling of two-stroke diesel engines with exhaust gas recirculation for marine applications , 2019 .

[25]  Ruixiang Liu,et al.  Finite Element Analysis of 4-Cylinder Diesel Crankshaft , 2011 .

[26]  Randolph E. Bank,et al.  Transient simulation of silicon devices and circuits , 1985, IEEE Transactions on Electron Devices.

[27]  Carlos Alberto Romero Piedrahita,et al.  “Prediction of In-Cylinder Pressure, Temperature, and Loads Related to the Crank Slider Mechanism of I.C. Engines: A Computational Model” , 2003 .

[28]  Ludovic Noels,et al.  Comparative study of numerical explicit schemes for impact problems , 2008 .

[29]  Evangelos G. Giakoumis,et al.  Evaluation of Various Dynamic Issues During Transient Operation of Turbocharged Diesel Engine with Special Reference to Friction Development , 2007 .