A new computationally efficient filtering algorithm based on the Kaczmarz projection method for reconstruction of the first harmonic of a periodic signal is presented. The algorithm makes it possible to recover the combustion quality information from engine speed measurements that are noise contaminated. The algorithm is verified by using a spark ignition six-cylinder engine in the torque estimation problem.
DecJ.A conceptual model of DI diesel combustion based on laser-sheet imaging. SAE paper 970873, 1997.
2.
VerhoevenD.VanhemelryckJ. L.BaritaudT.Macroscopic and ignition characteristics of high-pressure sprays of single component fuels. SAE paper 981069, 1998.
3.
BruneauxG.A study of soot cloud structure in high pressure single hole common rail diesel injection using multi-layered laser-induced incandescence. In Proceedings of Comodia 2001, Nagoya, Japan, 2001, pp. 622–630.
4.
KosakaH.AizawaT.KamimotoT.Two-dimensional imaging of ignition and soot formation processes in a diesel flameInt. J. Engine Res., 2005, 6(1), 21–42.
5.
BruneauxG.AngéM.LemenandC.A study of combustion structure in high pressure single hole common rail direct diesel injection using laser induced fluorescence of radicals. In Proceedings of Comodia 2004, Yokohama, Japan, 2-5 August 2004, pp. 551–559.
6.
BruneauxG.Mixing process in high pressure diesel jets by normalized laser induced exciplex fluorescence - Part II: Wall impinging versus free jet. SAE paper 2005-01-2097, 2005.
7.
PickettL. M.LopezJ. J.Jet-wall interaction effects on diesel combustion and soot formation. SAE paper 2005-01-0921, 2005.
8.
DecJ. E.CoyE. B.OH radical imaging in a DI diesel engine and the structure of early diffusion flame. SAE paper 960831, alsoSAE Trans., 1998, 105(3), 1127–1148.
9.
HerzbergG.Molecular spectra and molecular structure, Vol. III, 1988 (Krieger Publishing Company, Florida).
10.
Le CozJ. F.LemenandC.BruneauxG.Gasoline injection and spray combustion in a cell with conditions typical of direct injection engines. SAE paper 2003-01-3108, 2003.
11.
KosakaH.DrewesV.CatalfamoL.AradiA. A.LidaN.KamimotoT.Two-dimensional imaging of formaldehyde formed during the ignition process of a diesel fuel spray. SAE paper 2000-01-0236, 2000.
12.
AizawaT.KosakaH.Investigation of the early soot formation process in a transient flame via spectral measurements of laser-induced emissionsInt. J. Engine Res., 2006, 7, 93–101.
13.
BruneauxG.Study of the correlation between mixing and auto-ignition processes in high pressure diesel jets. SAE paper 2007-01-0650, 2007.
14.
CollinR.NygrenJ.RichterM.AldénM.HildingssonL.JohanssonB.Simultaneous OH and formaldehyde LIF measurements in an HCCI engine. SAE paper 2003-01-3218, 2003.
15.
IdicheriaC. A.PickettL. M.Formaldehyde visualization near lift-off location in a diesel jet. SAE paper 2006-01-3434, 2006.
16.
SiebersD.Scaling liquid phase fuel penetration in diesel sprays based on mixing limited vaporization. SAE paper 1999-01-0528, 1999.
17.
PickettL.SiebersD. L.Soot in diesel fuel jets: Effects of ambient temperature, ambient density, and injection pressureCombus. Flame, 2004, 138, 114–135.
18.
BruneauxG.Mixing process in high pressure diesel jets by normalized laser induced exciplex fluorescence - Part I: Free jet. SAE paper 2005-01-2100, 2005.
19.
AnnandW. J. D.MaT. H.Instantaneous heat transfer rates to the cylinder head surface of a small compression-ignition engineProc. Instn Mech. Engrs, 1970–71, 185, 976–987.
20.
AssanisD. N.HeywoodJ. B.Development and use of a computer simulation of the turbo-compounded diesel engine performance and component heat transfer studies. SAE paper 860329, 1986.
21.
BormanG.NishiwakiK.Internal-combustion engine heat transferProg. Energy Combust. Sci, 1987, 13, 1–46.
HeywoodJ. B.Internal combustion engine fundamentals, 1988 (McGraw-Hill, New York).
24.
BryzikW.KamoR.Tacom/Cummins adiabatic engine program. SAE paper 830314, 1983.
25.
WoschniG.SpindlerW.Heat transfer with insulated combustion chamber walls and its influence on the performance of diesel enginesTrans. ASME, J. Engng Gas Turbines Power, 1988, 110, 482–488.
26.
AlkidasA. C.Performance and emissions achievements with an uncooled heavy-duty, single-cylinder diesel engine. SAE paper 890144, 1989.
27.
AssanisD.WieseK.SchwartzE.BryzikW.The effects of ceramic coatings on diesel engine performance and exhaust emissions. SAE paper 910460, 1991.
28.
WongV. W.BauerW.KamoR.BryzikW.ReidM.Assessment of thin thermal barrier coatings for I.C. engines. SAE paper 950980, 1995.
29.
RakopoulosC. D.MavropoulosG. C.Modelling the transient heat transfer in the ceramic combustion chamber walls of a low heat rejection diesel engineInt. J. Vehicle Design, 1999, 22, 195–215.
30.
RakopoulosC. D.AntonopoulosK. A.RakopoulosD. C.GiakoumisE. G.Investigation of the temperature oscillations in the cylinder walls of a diesel engine with special reference to the limited cooled caseInt. J. Energy Res., 2004, 28, 977–1002.
31.
RakopoulosC. D.RakopoulosD. C.MavropoulosG. C.GiakoumisE. G.Experimental and theoretical study of the short term response temperature transients in the cylinder walls of a diesel engine at various operating conditionsAppl. Thermal Engng, 2004, 24, 679–702.
32.
AlkidasA. C.MyersJ. P.Transient heat-flux measurements in the combustion chamber of a spark-ignition engineTrans. ASME, J. Heat Transfer, 1982, 104, 62–67.
33.
AlkidasA. C.ColeR. M.Transient heat-flux measurements in a divided-chamber Diesel engineTrans. ASME, J. Heat Transfer, 1985, 107, 439–444.
34.
RakopoulosC. D.MavropoulosG. C.Experimental instantaneous heat fluxes in the cylinder head and exhaust manifold of an air-cooled diesel engineEnergy Convers. Mgmt, 2000, 41, 1265–1281.
35.
ZhaoH.LadommatosN.Engine combustion instrumentation and diagnostics, 2001 (Society of Automotive Engineers Inc., Warrendale, Pennsylvania).
36.
WatsonN.Dynamic turbocharged diesel engine simulator for electronic control system developmentTrans. ASME, J. Dynamic Syst. Measmt Control, 1984, 106, 27–45.
37.
WinterboneD. E.Transient performance. In The thermodynamics and gas dynamics of internal combustion engines (Eds HorlockJ. H.WinterboneD. E.), vol. II, 1986 (Clarendon Press, Oxford).
38.
RakopoulosC. D.GiakoumisE. G.Review of thermodynamic diesel engine simulations under transient operating conditions. SAE paper 2006-01-0884. AlsoTrans. SAE, J. Engines, 2006, 115, 467–504.
39.
KeribarR.MorelT.Thermal shock calculations in I.C. engines. SAE paper 870162, 1987.
40.
SchornN.PischingerF.SchulteH.Computer simulation of turbocharged diesel engines under transient conditions. SAE paper 870723, 1987.
41.
RakopoulosC. D.GiakoumisE. G.HountalasD. T.RakopoulosD. C.The effect of various dynamic, thermodynamic and design parameters on the performance of a turbocharged diesel engine operating under transient load conditions. SAE paper 2004-01-0926, 2004.
42.
ArcoumanisC.ChanS. H.BazariZ.Optimisation of the transient performance of a turbocharged diesel engine using turbocharging and fuel injection control. In IMechE Seminar on Engine transient performance, 1990, pp. 13–26 (Institution of Mechanical Engineers, London).
43.
ArcoumanisC.MegaritisA.BazariZ.Analysis of transient exhaust emissions in a turbocharged vehicle diesel engine. In IMechE Conference on Turbocharging and turbochargers, 1994, Paper C484/038, pp. 71–81 (Institution of Mechanical Engineers, London).
44.
RakopoulosC. D.GiakoumisE. G.Simulation and analysis of a naturally aspirated, indirect injection diesel engine under transient conditions comprising the effect of various dynamic and thermodynamic parametersEnergy Convers. Mgmt, 1998, 39, 465–484.
45.
RakopoulosC. D.GiakoumisE. G.Sensitivity analysis of transient diesel engine simulationProc. IMechE, Part D: J. Automobile Engineering, 2006, 220, 89–101.
46.
RakopoulosC. D.HountalasD. T.MavropoulosG. c.GiakoumisE. G.An integrated transient analysis simulation model applied in thermal loading calculations of an air-cooled diesel engine under variable speed and load conditions. SAE paper 970634, 1997. AlsoTrans. SAE, J. Engines, 1997, 106, 923–939.
47.
RakopoulosC. D.HountalasD. T.MavropoulosG. C.Modelling the structural thermal response of an air-cooled diesel engine under transient operation including a detailed thermodynamic description of boundary conditions. SAE paper 981024, 1998.
48.
WhitehouseN. D.WayR. G. B.Rate of heat release in diesel engines and its correlation with fuel injection data. Proc. Instn Mech. Engrs, Part J: 1969–70, 184, 17–27.
49.
GebhartB.Heat transfer, 1971 (McGraw-Hill, New York).
50.
MyersG. E.Analytical methods in conduction heat transfer, 1971 (McGraw-Hill, New York).
51.
EckertE. R. G.DrakeR. M.Jr.Heat and mass transfer, Second Edition, 1959 (McGraw-Hill, New York).
52.
ChurchillR. V.Fourier series and boundary value problems, 1963 (McGraw-Hill, New York).
53.
RakopoulosC. D.HountalasD. T.A simulation analysis of a DI diesel engine fuel injection system fitted with a constant pressure valveEnergy Convers. Mgmt, 1996, 37, 135–150.
54.
TarazaD.HeneinN.BryzikW.Friction losses in multi-cylinder diesel engines. SAE paper 2000-01-0921, 2000.
55.
RakopoulosC. D.GiakoumisE. G.Second-law analyses applied to internal combustion engine operationProg. Energy Combust. Sci., 2006, 32, 2–47
56.
GinouxS.ChampoussinJ. C.Engine torque determination by crankangle measurements: state of the art, future prospects. SAE paper 970532, 1997.
57.
RizzoniG.Estimate of indicated torque from crankshaft speed fluctuations: A model for the dynamics of the IC engineIEEE Trans. Veh. Technol., 1989, 38, 3–168.
58.
RizzoniG.GuezennecY.SolimanA.LeeB.Engine control using torque estimation. US Pat. 6866024 B2, 2005.
59.
StotskyA.Computationally efficient filtering algorithms for engine torque estimationProc. IMechE, Part D: J. Automobile Engineering, 2005, 219, 1099–1107.
60.
RemboskiD.SchumacherD.LynchM.ChewterA.Method and system for misfire determination using synchronous correction. US Pat. 5,906,652, 1999.
61.
RizzoniG.Estimation of instantaneous indicated torque in multicylinder engines. US Pat. 5,771,482, 1999.
62.
WilliamsJ.Cylinder torque estimation using crankshaft angular response measurements. US Pat. 6,223,120, 2001.
63.
KayI. W.LehrachR. P. C.Torque sensing for controlled alternative-fuel combustion in diesel engines. SAE paper 841007, 1984.
64.
LyonsR.Understanding digital signal processing, 1997 (Addison Wesley).
65.
StotskyA.Statistical engine misfire detectionProc. IMechE, Part D: J. Automobile Engineering, 2007, 221, 641–649.
66.
KornG.KornT.Mathematical handbook for scientists and engineers, 1961 (McGraw-Hill).
67.
VahidiA.DruzhininaM.StefanopoulouA.PengH.Simultaneous mass and time-varying grade estimation for heavy-duty vehicles. In Proceedings of the 2003 American Control Conference, Denver, Colorado, 2003, pp. 4951–4956.