Engine calibration: multi-objective constrained optimization of engine maps
Tóm tắt
We present two new approaches to address the optimization problem associated with engine calibration. In this area, the tuning parameters are traditionally determined in a local way, i.e., at each engine operating point, via a single-objective minimization problem. To overcome these restrictions, the first method we propose is able to cope with several objective functions simultaneously in the local formulation. The second method we put forward relies on a global formulation, which allows the whole driving cycle to be taken into account while remaining single-objective. At the practical level, the two methods are implemented by combining various existing techniques such as the LoLiMoT (Local Linear Model Tree) parameterization and the MO-CMA-ES (Multi-Objective Covariance Matrix Adaptation Evolution Strategy) algorithm. A better compromise appears to be achieved on real case applications.
Tài liệu tham khảo
Buzy A, Cotte P, Visconti J (2005) Online adaptive DOEs and global modelling for diesel engines and DPF calibration. In: IAV Berlin conference: design of experiments in engine development. Expert Verlag, Ehningen, pp 133–146
Castagné M, Bentolila Y, Chaudoye F, Hallé A, Nicolas F, Sinoquet D (2008) Comparison of engine calibration methods based on design of experiments. Oil Gas Sci Technol, Rev l’IFP, 63(4):563–582
Das I, Dennis JE (1998) Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multicriteria optimization problems. SIAM J Optim 8(3):631–657
Hafner M, Isermann R (2001) The use of stationary and dynamic emission models for an improved engine performance in legal test cycles. In: International workshop on modeling, emissions and control in automotive engines, Salerno, Italy
Hansen N, Ostermeier A (1996) Adapting arbitrary normal mutation distributions in evolution strategies: the covariance matrix adaptation. In: Proceedings of the 1996 IEEE international conference on evolutionary computation, pp 312–317
Igel C, Hansen N, Roth S (2007) Covariance matrix adaptation for multi-objective optimization. Evol Comput 15(1):1–28
Leyffer S (2009) A complementarity constraint formulation of convex multiobjective optimization problems. INFORMS J Comput 21(2):257–267
Nelles O (2001) Nonlinear system identification: from classical approaches to neural networks and fuzzy models. Springer, Berlin
Neßler A, Haukap C, Roepke K (2006) Global evaluation of the drivability of calibrated diesel engine maps. In: Proceedings of the 2006 IEEE conference on computer aided control systems design, Munich, Germany, October 4–6, pp 2683–2688
Röpke K, Gaitzsch R, Haukap C, Knaak M, Knobel C, Neßler A, Schaum A, Schoop U, Tahl S (2005) DoE—design of experiments, methoden und anwendungen in der Motorenentwicklung. Verlag Moderne Industrie, Augsburg
Sampson D, Sheridan L (2007) Recent developments in techniques for model-based calibration. In: Röpke K (ed) Design of experiments (DoE) in engine development III, Berlin. Expert Verlag, Ehningen, pp 45–55
Schloßer A, Linssen R, Bozelie P (2007) Model-based calibration of SI-engines map optimization. In: Röpke K (ed) Design of experiments (DoE) in engine development III, Berlin. Expert Verlag, Ehningen, pp 145–164
Schmied A (2003) A global constrained optimization algorithm for engine calibration. In: Bliek C et al. (eds) Selected papers of the first international workshop on global optimization and constraint satisfaction, COCOS 2002. Lecture notes in computer science, vol 2861. Springer, Berlin, pp 111–122
Seabrook J, Cornwell R, Mortimer P, Edwards S (2007) A calibration methodology to ensure low variation in emissions between engines in production. In: IAV/Haus der Technik 4th conference on DOE in engine development, Berlin. Expert Verlag, Ehningen, pp 34–44