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 a predictive simulation. The effectiveness of the methodology is quantified by the accuracy for describing and predicting the heat release rate and predicting the cylinder pressure. The root-mean square errors between the measured and predicted cylinder pressures are 1bar or less, which corresponds to 2% or less of the peak cylinder pressure.

References

References
1.
Najt
,
P. M.
and
Foster
,
D. E.
,
1983
, “
Compression-Ignited Homogeneous Charge Combustion
,”
SAE
Technical Paper 830264.10.4271/830264
2.
Willand
,
J.
,
Nieberding
,
R.-G.
,
Vent
,
G.
, and
Enderle
,
C.
,
1998
, “
The Knocking Syndrome—Its Cure and Its Potential
,”
SAE
Technical Paper 982483.10.4271/982483
3.
Thring
,
R. H.
,
1989
, “
Homogeneous Charge Compression Ignition (HCCI) Engines
,”
SAE
Technical Paper 892068.10.4271/892068
4.
Hyvönen
,
J.
,
Haraldsson
,
G.
, and
Johansson
,
B.
,
2005
, “
Operating Conditions Using Spark Assisted HCCI Combustion During Combustion Mode Transfer to SI in a Multi-Cylinder VCR-HCCI Engine
,”
SAE
Technical Paper 2005-01-0109.10.4271/2005-01-0109
5.
Kalian
,
N.
,
Standing
,
R.
, and
Zhao
,
H.
,
2005
, “
Effects of Ignition Timing on CAI Combustion in a Multi-Cylinder DI Gasoline Engine
,”
SAE
Technical Paper 2005-01-3720.10.4271/2005-01-3720
6.
Urushihara
,
T.
,
Yamaguchi
,
K.
,
Yoshizawa
,
K.
, and
Itoh
,
T.
,
2005
, “
A Study of a Gasoline-Fueled Compression Ignition Engine—Expansion of HCCI Operation Range Using SI Combustion as a Trigger of Compression Ignition
,”
SAE
Technical Paper 2005-01-0180.10.4271/2005-01-0180
7.
Bunting
,
B. G.
,
2006
, “
Combustion, Control, and Fuel Effects in a Spark Assisted HCCI Engine Equipped With Variable Valve Timing
,”
SAE
Technical Paper 2006-01-0872.10.4271/2006-01-0872
8.
Wagner
,
R. M.
,
Edwards
,
K. D.
,
Daw
,
C. S.
,
Green
,
J. B.
, Jr
.
, and
Bunting
,
B. G.
,
2006
, “
On the Nature of Cyclic Dispersion in Spark Assisted HCCI Combustion
,”
SAE
Technical Paper 2006-01-0418.10.4271/2006-01-0418
9.
Manofsky
,
L.
,
Vavra
,
J.
,
Assanis
,
D.
, and
Babajimopoulos
,
A.
,
2011
, “
Bridging the Gap Between HCCI and SI: Spark-Assisted Compression Ignition
,”
SAE
Technical Paper 2011-01-1179.10.4271/2011-01-1179
10.
Ghojel
,
J. I.
,
2010
, “
Review of the Development and Applications of the Wiebe Function: A Tribute to the Contribution of Ivan Wiebe to Engine Research
,”
Int. J. Engine Res.
,
11
(
4
), pp.
297
312
.10.1243/14680874JER06510
11.
Yang
,
X.
and
Zhu
,
G. G.
,
2012
, “
A Control-Oriented Hybrid Combustion Model of a Homogeneous Charge Compression Ignition Capable Spark Ignition Engine
,”
Proc. Inst. Mech. Eng., Part D: J. Automob. Eng.
,
226
(
10
), pp.
1380
1395
.10.1177/0954407012443334
12.
Ghojel
,
J. I.
,
1982
, “
A Study of Combustion Chamber Arrangements and Heat Release in D.I. Diesel Engines
,”
SAE
Technical Paper 821034.10.4271/821034
13.
Miyamoto
,
N.
,
Chikahisa
,
T.
,
Murayama
,
T.
, and
Sawyer
,
R.
,
1985
, “
Description and Analysis of Diesel Engine Rate of Combustion and Performance Using Wiebe's Functions
,”
SAE
Technical Paper 850107.10.4271/850107
14.
Witt
,
H.
,
Hassenforder
,
M.
, and
Gissinger
,
G. L.
,
1995
, “
Modelling and Identification of a Diesel Combustion Process With the Downhill Gradient Search Method
,”
SAE
Technical Paper 950854.10.4271/950854
15.
Yasar
,
H.
,
Soyhan
,
H. S.
,
Walmsley
,
H.
,
Head
,
B.
, and
Sorusbay
,
C.
,
2008
, “
Double-Wiebe Function: An Approach for Single-Zone HCCI Engine Modeling
,”
Appl. Therm. Eng.
,
28
(
11–12
), pp.
1284
1290
.10.1016/j.applthermaleng.2007.10.014
16.
Glewen
,
W. J.
,
Wagner
,
R. M.
,
Edwards
,
K. D.
, and
Daw
,
C. S.
,
2009
, “
Analysis of Cyclic Variability in Spark-Assisted HCCI Combustion Using a Double Wiebe Function
,”
Proc. Combust. Inst.
,
32
(
2
), pp.
2885
2892
.10.1016/j.proci.2008.06.029
17.
Martz
,
J. B.
,
Lavoie
,
G. A.
,
Hong
,
H.
I
.
,
Middleton
,
R. J.
,
Babajimopoulos
,
A.
, and
Assanis
,
D. N.
,
2012
, “
The Propagation of a Laminar Reaction Front During End-Gas Auto-Ignition
,”
Combust. Flame
,
159
(
6
), pp.
2077
2086
.10.1016/j.combustflame.2012.01.011
18.
Persson
,
H.
,
Hultqvist
,
A.
,
Johansson
,
B.
, and
Remon
,
A.
,
2007
, “
Investigation of the Early Flame Development in Spark Assisted HCCI Combustion Using High Speed Chemiluminescense Imaging
,”
SAE
Technical Paper 2007-01-0212.10.4271/2007-01-0212
19.
Hellström
,
E.
,
Stefanopoulou
,
A. G.
,
Vávra
,
J.
,
Babajimopoulos
,
A.
,
Assanis
,
D.
,
Jiang
,
L.
, and
Yilmaz
,
H.
,
2012
, “
Understanding the Dynamic Evolution of Cyclic Variability at the Operating Limits of HCCI Engines With Negative Valve Overlap
,”
SAE Int. J. Engines
,
5
(
3
), pp.
995
1008
.10.4271/2012-01-1106
20.
Lavoie
,
G. A.
,
Martz
,
J. B.
,
Wooldridge
,
M.
, and
Assanis
,
D.
,
2010
, “
A Multi-Mode Combustion Diagram for Spark Assisted Compression Ignition
,”
Combust. Flame
,
157
(
6
), pp.
1106
1110
.10.1016/j.combustflame.2010.02.009
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