Abstract
The nonlinear dynamics of a combustion system in a modern common-rail dual-fuel engine has been studied. Using nonlinear dynamic data analysis (phase space reconstruction, recurrence plots, recurrence qualification analysis and wavelet analysis), the effect of ethanol fumigation on the dynamic behaviour of a combustion system has been examined at an engine speed of 2000 rpm with engine load rates of 50%, 75% and 100% and ethanol substitutions up to 40% (by energy) in 10% increments for each engine load. The results show that the introduction of ethanol has a significant effect on inter-cycle combustion variation (ICV) and the dynamics of the combustion system for all of the studied engine loads. For pure diesel mode and lower ethanol substitutions, the ICV mainly exhibits multiscale dynamics: strongly periodic and/or intermittent fluctuations. As the ethanol substitution is increased, the combustion process gradually transfers to more persistent low-frequency variations. At different engine loads, we can observe the bands with the strongest spectral power density that persist over the entire 4000 engine cycles. Compared to high engine loads (75% and 100%), the dynamics of the combustion system at a medium engine load (50%) was more sensitive to the introduction of ethanol. At higher ethanol substitutions, the increased ICV and the complexity of the combustion system at the medium load are attributable to the enhanced cooling caused by the excessive ethanol evaporation, while the low-frequency large-scale combustion fluctuations for the higher engine loads are likely caused by cyclic excitation oscillation during the transition of the combustion mode.
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Tutak, W.: Bioethanol E85 as a fuel for dual-fuel diesel engine. Energy Convers. Manag. 86, 39–48 (2014). https://doi.org/10.1016/j.enconman.2014.05.016
Wheals, A.E., Basso, L.C., Alves, D.M.G., Amorim, H.V.: Fuel ethanol after 25 years. Tibtech 17, 482–7 (1999). https://doi.org/10.1016/S0167-7799(99)01384-0
Imran, A., Varman, M., Masjuki, H.H., Kalam, M.A.: Review on alcohol fumigation on diesel engine: available alternative dual-fuel technology for satisfactory engine performance and reduction of environment concerning emission. Renew Sustain. Energy Rev. 26, 739–751 (2013). https://doi.org/10.1016/j.rser.2013.05.070
Kumar, K., Sung, C.J.: A comparative experimental study of the autoignition characteristics of alternative and conventional jet fuel/oxidizer mixtures. Fuel 89, 2853–63 (2010). https://doi.org/10.1016/j.fuel.2010.05.021
Fraioli, V., Mancaruso, E., Migliaccio, M., Vaglieco, B.M.: Ethanol effect as premixed fuel in dual-fuel CI engines: experimental and numerical investigations. Appl. Energy 119, 394–404 (2014). https://doi.org/10.1016/j.apenergy.2014.01.008
Tsang, K.S., Zhang, Z.H., Cheung, C.S., Chan, T.L.: Reducing emissions of a diesel engine using fumigation ethanol and a diesel oxidation catalyst. Energy Fuels 24, 6156–65 (2010). https://doi.org/10.1021/ef100899z
Rodríguez-Fernández, J., Tsolakis, A., Theinnoi, K., Snowball, J., Sawtell, A., York, A.P.E.: Engine performance and emissions from dual-fuelled engine with in-cylinder injected diesel fuels and in-port injected bioethanol. SAE paper, no. 2009-01-1853 (2009). https://doi.org/10.4271/2009-01-1853
Pedrozo, V.B., May, I., Nora, M.D., Cairns, A., Zhao, H.: Experimental analysis of ethanol dual-fuel combustion in a heavy-duty diesel engine: an optimisation at low load. Appl. Energy 165, 6–182 (2016). https://doi.org/10.1016/j.apenergy.2015.12.052
Mancaruso, E., Vaglieco, B.M.: Spectroscopic analysis of the phases of premixed combustion in a compression ignition engine fuelled with diesel and ethanol. Appl. Energy 143, 164–175 (2015). https://doi.org/10.1016/j.apenergy.2015.01.031
Ekholm, K., Karlsson, M., Tunestål, P., Johansson, R., Johansson, B., Strandh, P.: Ethanol-diesel fumigation in a multi-cylinder engine. SAE paper, no. 2008-01-0033 (2008). https://doi.org/10.4271/2008-01-0033
Padala, S., Woo, C.H., Kook, S.H., Hawkes, E.R.: Ethanol utilisation in a diesel engine using dual-fuelling technology. Fuel 109, 597–607 (2013). https://doi.org/10.1016/j.fuel.2013.03.049
Abu-Qudais, M., Haddad, O., Qudaisat, M.: The effect of alcohol fumigation on diesel engine performance and emissions. Energy Convers. Manag. 41, 389–399 (2000). https://doi.org/10.1016/S0196-8904(99)00099-0
Chen, J., Gussert, D., Gao, X., Gupta, C., Foster, D.: Ethanol fumigation of a turbocharged diesel engine. SAE paper, no. 810680 (1981). https://doi.org/10.4271/810680
Hayes, T.K., Savage, L.D., White, R.A., Sorenson, S.C.: The effect of fumigation of different ethanol proofs on a turbocharged diesel engine. SAE paper no. 880497 (1988). https://doi.org/10.4271/880497
Ajav, E.A.S., Bachchan, B.T.K.: Thermal balance of a single cylinder diesel engine operating on alternative fuels. Energy Convers. Manag. 41, 1533–1541 (2000). https://doi.org/10.1016/S0196-8904(99)00175-2
Udayakumar, R., Sundaram, S., Sivakumar, K.: Engine performance and exhaust characteristics of dual-fuel operation in DI diesel engine with methanol. SAE paper no. 2004-01-0096 (2004). https://doi.org/10.4271/2004-01-0096
Asad, U., Kumar, R., Zheng, M., Tjong, J.: Ethanol-fueled low temperature combustion: a pathway to clean and efficient diesel engine cycles. Appl. Energy 157, 838–850 (2015). https://doi.org/10.1016/j.apenergy.2015.01.057
Zhang, Z.H., Tsang, K.S., Cheung, C.S., Chan, T.L., Yao, C.D.: Effect of fumigation methanol and ethanol on the gaseous and particulate emissions of a direct-injection diesel engine. Atmos. Environ. 45, 2001–2008 (2011). https://doi.org/10.1016/j.atmosenv.2010.12.019
Popa, M., Negurescu, N., Pana, C., Racovitza, A.: Results obtained by methanol fuelling diesel engine. SAE paper no. 2001-01-3748 (2001). https://doi.org/10.4271/2001-01-3748
Heisey, J.B., Lestz, S.S.: Aqueous alcohol fumigation of a single-cylinder DI diesel engine. SAE paper no. 811208 (1981). https://doi.org/10.4271/811208
Di Blasio, G., Beatrice, C., Molina, S.: Effect of port injected ethanol on combustion characteristics in a dual-fuel light duty diesel engine. SAE paper no. 2013-01-1692 (2013). https://doi.org/10.4271/2013-01-1692
Bodisco, T., Low Choy, S., Brown, R.J.: A Bayesian approach to the determination of ignition delay. Appl. Therm. Eng. 60, 79–87 (2013). https://doi.org/10.1016/j.applthermaleng.2013.06.048
Bodisco, T., Tröndle, P., Brown, R.J.: Inter-cycle variability of ignition delay in an ethanol fumigated common-rail diesel engine. Energy 84, 186–195 (2015). https://doi.org/10.1016/j.energy.2015.02.107
Bodisco, T., Brown, R.J.: Inter-cycle variability of in-cylinder pressure parameters in an ethanol fumigated common-rail diesel engine. Energy 52, 55–65 (2013). https://doi.org/10.1016/j.energy.2012.12.032
Barton, R.K., Kenemuth, D.K., Lestz, S.S., Meyer, W.E.: Cycle-by-cycle variations of a spark ignition engine: a statistical analysis. SAE paper no. 700488 (1970). https://doi.org/10.4271/700488
Ozdor, N., Dulger, M., Sher, E.: Cyclic variability in spark-ignition engines: a literature survey. SAE paper no. 940987 (1994). https://doi.org/10.4271/940987
Finney, C.E.A., Kaul, B.C., Daw, C.S., Wagner, R.M., Edwards, K.D., Green, J.B.: A review of deterministic effects in cyclic variability of internal combustion engines. In. J. Engine Res. 16(3), 366–378 (2015). https://doi.org/10.1177/1468087415572033
Barton, R.K., Kenemuth, D.K., Lestz, S.S., Meyer, W.E.: Cycle-by-cycle variations of a spark ignition engine: a statistical analysis. SAE paper no. 700488 (1970)
Belmont, M.R., Hancock, M., Buckingham, D.J.: Statistical aspects of cyclic variability. SAE paper no. 860324 (1986)
Martin, J.K., Plee, S.L., Remboski Jr., D.J.: Burn modes and prior-cycle effects on cyclic variations in lean burn spark-ignition engine combustion. SAE paper no. 880201 (1988). https://doi.org/10.4271/880201
Moriyoshi, Y., Kanimoto, T., Yagita, M.: Prediction of cycle-to-cycle variation of in-cylinder flow in a motored engine. SAE paper no. 930066 (1993). https://doi.org/10.4271/930066
Daw, C.S., Finney, C.E.A., Green, J.B., et al.: A simple model for cyclic variations in a spark-ignition engine. SAE paper, no. 962086 (1996). https://doi.org/10.4271/962086
Daily, J.W.: Cycle-to-cycle variations: a chaotic process? Combust. Sci. Technol. 57, 149–62 (1988). https://doi.org/10.1080/00102208808923950
Gotoda, H., Okuno, Y., Hayashi, K., Tachibana, S.: Characterization of degeneration process in combustion instability based on dynamical systems theory. Phys. Rev. E 92, 052906 (2015). https://doi.org/10.1103/PhysRevE.92.052906
Godavarthi, V., Pawar, S.A., Unni, V.R., Sujith, R.I., Marwan, N., Kurths, J.: Coupled interaction between unsteady flame dynamics and acoustic field in a turbulent combustor. Chaos 28, 113111 (2018)
Bassily, H., Daqaq, M.F., Wagner, J.: Application of the pseudo-poincare maps to assess gas turbine system health. ASME J. Gas Turbines Power 134, 051601-1–8 (2012)
Wendeker, M., Litak, G., Czarnigowski, J., Szabelski, K.: Nonperiodic oscillations in a spark ignition engine. Int. J. Bifurc. Chaos 14, 1801–6 (2004). https://doi.org/10.1142/S0218127404010084
Litak, G., Kamin’ski, T., Rusinek, R., et al.: Patterns in the combustion process in a spark ignition engine. Chaos Solitons Fractals 35, 578–585 (2008). https://doi.org/10.1016/j.chaos.2006.05.053
Litak, G., Kami’nski, T., Czarnigowski, J., Zukowski, D., Wendeker, M.: Cycle-to-cycle oscillations of heat release in a spark ignition engine. Meccanica 42, 423–433 (2007). https://doi.org/10.1007/s11012-007-9066-6
Daw, C.S., Wagner, R.M., Edwards, K.D., Green, J.B.: Understanding the transition between conventional spark-ignited combustion and HCCI in a gasoline engine. Proc. Combust. Inst. 31, 2887–2894 (2007). https://doi.org/10.1016/j.proci.2006.07.133
Yang, L.P., Song, E.Z., Ding, S.L., Brown, R.J., Marwan, N., Ma, X.Z.: Analysis of the dynamic characteristics of combustion instabilities in a pre-mixed lean-burn natural gas engine. Appl. Energy 183, 746–759 (2016). https://doi.org/10.1016/j.apenergy.2016.09.037
Sen, A.K., Wang, J.H., Huang, Z.H.: Investigating the effect of hydrogen addition on cyclic variability in a natural gas spark ignition engine: wavelet multiresolution analysis. Appl. Energy 88, 4860–6 (2011). https://doi.org/10.1016/j.apenergy.2011.06.030
Sen, A.K., Zheng, J.J., Huang, Z.H.: Dynamics of cycle-to-cycle variations in natural gas direct-injection spark-ignition. Appl. Energy 88, 2324–34 (2011). https://doi.org/10.1016/j.apenergy.2011.01.009
Sen, A.K., Ash, S.K., Huang, B., Huang, Z.: Effect of exhaust gas recirculation on the cycle-to-cycle ariations in a natural gas spark ignition engine. Appl. Therm. Eng. 31, 2247–2253 (2011). https://doi.org/10.1016/j.applthermaleng.2011.03.018
Li, G.X., Yao, B.F.: Nonlinear dynamics of cycle-to-cycle combustion variations in a lean-burn natural gas engine. Appl. Therm. Eng. 28, 611–620 (2008). https://doi.org/10.1016/j.applthermaleng.2007.04.008
Letellier, C., Meunier-Guttin-Cluzel, S., Gouesbet, G., Neveu, F., Duverger, T., Cousyn, B.: Use of the nonlinear dynamical system theory to study cycle-to-cycle variations from spark-ignition engine pressure data. SAE paper no. 971640 (1997). https://doi.org/10.4271/971640
Sen, A.K., Litak, G., Yao, B.-F., Li, G.-X.: Analysis of pressure fluctuations in a natural gas engine under lean burn conditions. Appl. Therm. Eng. 30, 776–779 (2010). https://doi.org/10.1016/j.applthermaleng.2009.11.002
Rocha-Martinez, J.A., Navarrete-Gonzales, T.D., Pavia-Miller, C.G., Paez-hernandez, R.: Otto and diesel engine models with cyclic variability. Revista Mexicana de Fisica 48, 228–234 (2002)
Bogus, P., Merkisz, J.: Misfire detection of locomotive diesel engine by non-linear analysis. Mech. Syst. Signal Process. 19, 881–889 (2005). https://doi.org/10.1016/j.ymssp.2004.06.004
Kabiraj, L., Sujith, R.I.: Nonlinear self-excited thermoacoustic oscillations: intermittency and flame blowout. J. Fluid Mech. 713, 376–397 (2012). https://doi.org/10.1017/jfm.2012.463
Nair, V., Thampi, G., Sujith, R.I.: Engineering precursors to forewarn the onset of an impending combustion instability. In: Proceedings of the ASME Turbo Expo 2014: turbine technical conference and exposition, 4B, V04BT04A005p (2014)
Nair, V., Sujith, R.I.: Intermittency as a transition state in combustor dynamics: an explanation for flame dynamics near lean blowout. Combust. Sci. Technol. 187, 1821–1835 (2015). https://doi.org/10.1080/00102202.2015.1066339
Seshadri, A., Nair, V., Sujith, R.I.: A reduced-order deterministic model describing an intermittency route to combustion instability. Combust. Theor. Model. 20, 1–16 (2016). https://doi.org/10.1080/13647830.2016.1143123
Sen, A.K., Longwic, R., Litak, G., Go’rski, K.: Analysis of cycle-to-cycle pressure oscillations in a diesel engine. Mech. Syst. Signal Process. 22, 362–373 (2008). https://doi.org/10.1016/j.ymssp.2007.07.015
Yang, L.P., Ding, S.L., Litak, G., Song, E.Z., Ma, X.Z.: Identification and quantification analysis of non-linear dynamics properties of combustion instability in a diesel engine. Chaos 25, 013105 (2015). https://doi.org/10.1063/1.4899056
Kyrtatos, P., Brückner, C., Boulouchos, K.: Cycle-to-cycle variations in diesel engines. Appl. Energy 171, 120–132 (2016). https://doi.org/10.1016/j.apenergy.2016.03.015
Kennel, M.B., Brown, R., Abarbanel, H.D.I.: Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A 45, 3403 (1992). https://doi.org/10.1103/PhysRevA.45.3403
Abarbanel, H.D.I.: Analysis of Observed Chaotic Data. Springer, New York (1996)
Eckmann, J.P., Kamphorst, S.O., Ruelle, D.: Recurrence plots of dynamical systems. EPL Europhys. Lett. 4, 973–7 (1987)
Marwan, N., Romano, M.C., Thiel, M., Kurths, J.: Recurrence plots for the analysis of complex systems. Phys. Rep. 438, 237–329 (2007). https://doi.org/10.1016/j.physrep.2006.11.001
Marwan, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., Kurths, J.: Recurrence plot based measures of complexity and its application to heart rate variability data. Phys. Rev. E 66, 026702 (2002). https://doi.org/10.1103/PhysRevE.66.026702
Mindlin, G.M., Gilmore, R.: Topological analysis and synthesis of chaotic time series. Physica D 58, 229–242 (1992). https://doi.org/10.1016/0167-2789(92)90111-Y
Zbilut, J.P., Zaldívar-Comenges, J.M., Strozzi, F.: Recurrence quantification based Liapunov exponents for monitoring divergence in experimental data. Phys. Lett. A 297, 173–181 (2002). https://doi.org/10.1016/S0375-9601(02)00436-X
Thiel, M., Romano, M.C., Kurths, J., Meucci, R., Allaria, E., Arecchi, F.T.: Influence of observational noise on the recurrence quantification analysis. Physica D 171, 138–152 (2002). https://doi.org/10.1016/S0167-2789(02)00586-9
Schinkel, S., Dimigen, O., Marwan, N.: Selection of recurrence threshold for signal detection. Eur. Phys. J. Spec. Top. 164, 45–53 (2008). https://doi.org/10.1140/epjst/e2008-00833-5
Bochner, S., Chandrasekharan, K.: Fourier Transforms. Princeton University Press, Princeton (1949)
Kaiser, G.: A Friendly Guide to Wavelets. Birkhaeuser, Boston (1994)
Ouahabi, A., Femmam, S.: Wavelet-based multifractal analysis of 1-D and 2-D signals: New results. Analog Integr Circ S 69, 3–15 (2011). https://doi.org/10.1007/s10470-011-9620-y
Torrence, C., Compo, G.P.: A practical guide to wavelet analysis. Bull. Am. Meteorol. Soc. 79(1), 61–78 (1998)
Sen, A.K., Litak, G., Taccani, R., Radu, R.: Wavelet analysis of cycle-to-cycle pressure variations in an internal combustion engine. Chaos Solitons Fractals 38, 886–893 (2008). https://doi.org/10.1016/j.chaos.2007.01.041
Sen, A.K., Litak, G., Finney, C.E.A., Daw, C.S., Wagner, R.M.: Analysis of heat release dynamics in an internal combustion engine using multifractals and wavelets. Appl. Energy 87, 1736–43 (2010). https://doi.org/10.1016/j.apenergy.2009.11.009
Farge, M.: Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24, 395–457 (1992)
Viggiano, A., Magi, V.: A comprehensive investigation on the emissions of ethanol HCCI engines. Appl. Energy 93, 277–287 (2012). https://doi.org/10.1016/j.apenergy.2011.12.063
Saxena, S., Vuilleumier, D., Kozarac, D., Krieck, M., Dibble, R., Aceves, S.: Optimal operating conditions for wet ethanol in a HCCI engine using exhaust gas heat recovery. Appl. Energy 116, 269–277 (2014). https://doi.org/10.1016/j.apenergy.2013.11.033
Heywood, J.B.: Internal Combustion Engine Fundamentals. McGraw-Hill, New York (1988).ntals
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This work was supported by the National Natural Science Foundation of China (51306041), Natural Science Foundation of Heilongjiang Province of China (QC2013C057) and the Fundamental Research Funds for the Central Universities (GK2030260164).
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Yang, LP., Bodisco, T.A., Zare, A. et al. Analysis of the nonlinear dynamics of inter-cycle combustion variations in an ethanol fumigation-diesel dual-fuel engine. Nonlinear Dyn 95, 2555–2574 (2019). https://doi.org/10.1007/s11071-018-4708-x
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DOI: https://doi.org/10.1007/s11071-018-4708-x