Improved Fidelity Turbocharger Heat Transfer Models for Use in GT-Power Manish Khare, Les Smith, JLR Jose R. Serrano, Pablo Olmeda, Francisco J. Arnau, UPV-CMT 1/24 Introduction Turbocharger efficiency on engine operation is affected by several physical phenomena of different nature: Turbomachinery internal irreversibility (isentropic efficiency in comp. & turbine) Mechanical efficiency due to friction in journal & thrust bearings Internal heat transfer effects from turbine side to oil and to compressor side External heat transfer effects 2/24 Introduction In the turbocharger there are complex interactions among Compressor Turbine different energy fluxes WC + Q Comp ETE = ηTmap = W Housing Turbine power Compressor power Oil power Heat power Ts Mechanical power Efficiency in turbine maps is a rough simplification of a complex phenomena and seems not enough for a fully predictive modeling of turbocharged engines 3/24 Introduction ETE ( Effective Turbine efficiency is a function of mechanical efficiency and turbocharger heat fluxes: ηTmap WC + Q C = ETE W Ts 30 30q Definition used in most of supplier maps 𝑊̇𝑇𝑇𝑎 4qs 𝑊̇𝑇𝑇 4s Q C ⋅ 1 + W C Q C T30 q ETE = ηm ⋅ηsT ⋅ 1 + ⋅ WC T30 WT WTsa ηm ⋅ ⋅ ETE = WTsa WTs WT ETE = ηm ⋅ WTs Q C ⋅ 1 + W C Q C ETE = ηm ⋅ηsT ⋅ 1 + WC Q T ⋅ 1 − mc pT30 4/24 Introduction Direct use of turbine maps efficiency over predicts turbine outlet temperature (due to neglecting heat transfer in the turbine side) ηTmap WC + Q C = ETE W Ts WT ETE = ηm ⋅ WTs Q C ⋅ 1 + W C 5/24 Project Definition & Approach Procedure for developing and validating turbocharger heattransfer & mechanical loss model (in collaboration with CMT) • To elaborate a model able to predict heat transfer in turbochargers, based on work published by CMT • To elaborate a turbochargers mechanical losses model, based on work published by CMT • To link the previous models and to implement them in GT-power Experimental activities on • Thermo-hydraulic bench ( Conductive Conductance & Capacitance Characterization ) • Gas stand ( Convective Conductance & External Conductance, mechanical loss model Characterization ) • Dynamic engine test bench ( GT Power Engine model validation ) 6/24 Mechanical Loss Model Definition Journal Bearing Thrust Bearing Good correlation between experimental & model data achieved 7/24 Heat Transfer Model Definition A Lumped model based on electrical analogy used to account for different heat fluxes 8/24 Heat Transfer Model Definition • Internal Conductances Conductive: KT/H1, KH1/H2, KH2/H3, KH3/C Convective: GAS/T, H1/oil, H2/oil, C/Air, H2/W or H3/Air • External Conductances KT/amb, KH1/amb, KH2/amb, KH3/amb, KC/amb K’T/H1, K’T/H2, K’T/H3, K’T/C, K’H1/H2, K’H1/H3, K’H1/C, K’H2/H3, K’H2/C, K’H3/C • Capacitances CT, CH1, CH2, CH3, CC 9/24 GT Power Model Definition Geometry, properties of the materials and other constant parameters will be provided by an external file & this file links to GT power by a user function 10/24 GT Power Model Definition The heat transfer & mechanical losses model The inputs The model will need instantaneous information (temperatures, mass flows, turbocharger speed …) Compressor & Turbine adiabatic maps User function to link external file The main outputs Compressor efficiency multiplier Turbine efficiency multiplier Mechanical losses + heat power Additional heat 11/24 GT Power Model Results: Full Load Power CIP AirFlow COP No effect was observed for above engine parameters using HTM at FL steady state condition 12/24 GT Power Model Results: Full Load Turbine Outlet Temperature Compressor Outlet Temperature HTM is very important for accurately predicting turbine outlet temperature & to some extent compressor outlet temperature 13/24 GT Power Model Results: Full Load Nodal Temperature HTM is able to accurately predict variation in nodal temperature at different conditions 14/24 GT Power Model Results: Part Load Power CIP AirFlow COP Insignificant effect for above engine parameters using HTM at PL steady state condition 15/24 GT Power Model Results: Part Load Turbine Outlet Temperature Compressor Outlet Temperature HTM is important for accurately predicting turbine outlet temperature & to some extent compressor outlet temperature 16/24 GT Power Model Results: Part Load Nodal Temperature HTM is able to accurately predict variation in nodal temperature at different conditions 17/24 GT Power Model Results: Transient Torque Turbo-speed COP Air-flow Transient results with HTM is better than base model 18/24 GT Power Model Results: Transient COT TOT Transient results with HTM is better than base model 19/24 Summary Turbocharger friction losses model (FLM) developed & validated, also linked to GT Power Turbocharger heat transfer model (HTM) developed & validated, also linked to GT Power HTM is fundamental for turbine outlet temperature (TOT) prediction Capability of using a variety of turbocharger map sources while keeping predictability; i.e: adiabatic, hot gas stand, cold gas stand Clear improvement in load transient predictability Currently validation limited to diesel but work planned for gasoline to develop database for all JLR turbo machines 20/24 References [1] Serrano, J., Olmeda, P., Arnau, Dombrovsky, A. and Smith, L., ‘’ Methodology to Characterize Heat Transfer Phenomena in Small Automotive Turbochargers: Experiments and Modelling Based Analysis’’, Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, GT2014-25179 , June 16 – 20, 2014, Düsseldorf, Germany [2] Serrano, J., Olmeda, P., Arnau, F. and Reyes-Belmonte, M., 2013, “Importance of Heat Transfer Phenomena in Small Turbochargers for Passenger Car Applications”, SAE Int. J. Engines 6(2), doi:10.4271/2013-01-0576. [3] Serrano, J.R., Olmeda, P., Páez, A., and Vidal, F., 2010, “An Experimental Procedure to Determine Heat Transfer Properties of Turbochargers”, Measurement Science and Technology, 21, 035109 . [4] Serrano, J. R., Olmeda, P., Tiseira, A., García-Cuevas, L. M., and Lefebvre, A., 2013, “Theoretical and Experimental Study of Mechanical Losses in Automotive Turbochargers”, Energy, 55, pp. 888–898. [5] Serrano, J.R., Olmeda, P., Arnau, F.J., Reyes-Belmonte, M.A., Lefebvre, A. and Tartoussi, H. “A Study on the Internal Convection on Small Turbochargers”, submitted to Energy. [6] F. Payri, P. Olmeda, F.A. Arnau, A. Dombrovsky, L. Smith. External heat losses in small turbochargers: Model and experiments. Energy 71 (2014) 534-546 21/24 22/24 GT Power Model Definition Compressor efficiency multiplier •Using an adiabatic map T20= T10 + a T20 s − T10 ηmap •Mechanical power consumed by the compressor = WC m C C p (T20 a − T10 ) •The effect of the heat transfer is included by an efficiency multiplier WCs ηdiab WC − Q C WC = = KC = WCs ηmap WC − Q C WC • The pseudo compressor power W= WC + Q C C ' positive Q C mean heat flow from the compressor to the housing 23/24 GT Power Model Definition Turbine efficiency multiplier. •Using an adiabatic map. T4 = T30 a − ηmap (T30 a − T4 s ) •In order to obtain that temperature from 30 heat effect must be included by mean of the efficiency multiplier WT + QT WT + QT ηT ,diab WTs = = = KT WT ηT ,adiab WTsa 1−γ γ p T30 1 − Π mc WT + QT T30 a = ⋅ WT WT T30 1−γ p T30 a 1 − Π γ mc •The pseudo turbine power calculated by GTPower W= WT + QT T ' 24/24 GT Power Model Definition Mechanical efficiency. •Power balance in the turbocharger shaft W + W W= T C f •Pseudo power balance calculated by GT-Power WT '− QT = WC '+ Q C + W f •Friction power and addition power due to heat must be extracted from the shaft WT ' = WC '+ W f + Q C + QT Wshaft 25/24
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