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A Linear Least-Squares Algorithm for Double-Wiebe Functions Applied to Spark-Assisted Compression Ignition

[+] Author Affiliations
Erik Hellström, Anna Stefanopoulou

University of Michigan, Ann Arbor, MI

Li Jiang

Robert Bosch LLC, Farmington Hills, MI

Paper No. ICEF2013-19068, pp. V001T03A008; 9 pages
  • ASME 2013 Internal Combustion Engine Division Fall Technical Conference
  • Volume 1: Large Bore Engines; Advanced Combustion; Emissions Control Systems; Instrumentation, Controls, and Hybrids
  • Dearborn, Michigan, USA, October 13–16, 2013
  • Conference Sponsors: Internal Combustion Engine Division
  • ISBN: 978-0-7918-5609-3
  • Copyright © 2013 by ASME


An algorithm for determining the four tuning parameters in a double-Wiebe description of the combustion process in spark-assisted compression ignition engines is presented where the novelty is that the tuning problem is posed as a weighted linear least-squares problem. The approach is applied and shown to describe well an extensive data set from a light-duty gasoline engine for various engine speeds and loads. Correlations are suggested for the four parameters based on the results, which illustrates how the double-Wiebe approach can also be utilized in predictive simulation. The effectiveness of the methodology is quantified by the accuracy for describing and predicting the heat release rate as well as predicting the cylinder pressure. The root-mean square errors between the measured and predicted cylinder pressures are 1 bar or less, which corresponds to 2% or less of the peak cylinder pressure.

Copyright © 2013 by ASME



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