Investigating the effect of gearbox preconditioning on vehicle efficiency

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Investigating the effect of gearbox preconditioning on vehicle efficiency HIGH-TECH SYSTEMS 2015 R. Gillot A. Picarelli M. Dempsey romain.gillot@claytex.com alessandro.picarelli@claytex.com mike.dempsey@claytex.com

Claytex Services Limited Based in Leamington Spa, UK Office in Cape Town, South Africa Established in 1998 Experts in Systems Engineering, Modelling and Simulation Focused on physical modelling to support control system design and development Business Activities Engineering consultancy Software sales and support Modelica library developers Training services Global customer base Europe, USA, India, South Korea, Japan, RSA

Vehicle System Preconditioning: Background & Motivation Discrepancy between certified and real world fuel economy can cause customer dissatisfaction Extreme climatic differences between certification routines can exacerbate the discrepancy Investigation to quantify and reduce the gap to real world is necessary for all subsystems contributing to overall vehicle efficiency Sub optimal lubricant temperature is one source of vehicle subsystem inefficiency with exponential rises in viscosity at very low temperatures: ATF (Automatic Transmission Fluid) oil kinematic viscosity trend vs Temperature

The experiment As part of a larger project we concentrate, in this study, on the benefits of pre-conditioning the vehicle transmission fluid and the costs associated in doing so We assemble a complete vehicle model and the related subsystems using Dymola The vehicle includes a predictive thermal model of the transmission to quantify the thermal dynamics of the system including losses such as bearing and gear drag losses The vehicle is exercised over the standard NEDC (New European Drive Cycle) and combined Urban and Highway ARTEMIS drive cycles. The transmission oil is preconditioned to several temperatures before each test is started

The experiment NEDC drive cycle (1180s) ARTEMIS urban + highway (2061s) Rear wheel drive passenger car Automatic transmission (6 speed) 2L Petrol engine, 4 cylinders inline Several initial ATF (Automatic Transmission Fluid) temperatures: Normal : 23 degc Cold: -10 degc Hot: 40 degc Pre-warmed: 90 degc

Model Architecture Built on the VehicleInterfaces standard from Modelica Association Designed to promote the easy coupling of libraries from different vendors Defines a minimum set of connectors required in each subsystem

Component Orientated Modelling Modelling and simulation of systems integrating multiple physical domains Mechanics (1D, MultiBody), 1D Thermofluids, Control, Thermal, Electrical, Magnetics and more Promotes extensive model reuse at component and system level Components represent physical parts: valves, gears, motor Connections between parts describe the physical connection (mechanical, electrical, thermal, signal, etc.) Store your own component and system models in libraries to easily share and reuse them across the business

A freely available, open source, standardised modelling language Developed and maintained by the Modelica Association An independent, international not-for-profit organisation Established in 1996 Currently about 100 members from academia, tool vendors and industrial end-users Anyone can get involved Organised into project groups for the Modelica Language, Modelica Standard Library and FMI Standard The Modelica Standard Library contains basic models in many engineering domains Delivered as standard in Dymola

Model Definition Models are defined using the Modelica modelling language A generic modelling language Design for convenient, component orientated modelling of complex multidomain systems Dymola provides access to the Modelica code behind models model Inertia extends Interfaces.Rigid; parameter SI.Inertia J=1 Moment of Inertia ; SI.AngularVelocity w Angular velocity ; SI.AngularAcceleration a Angular acceleration ; equation w = der(phi); a = der(w); flange_a.tau + flange_b.tau = J * a; end Inertia;

Symbolic Manipulation The model equations are automatically transformed in to the required solution for simulation Advanced mathematical techniques are used to reduce the size of the problem without removing detail from the model

What does this mean in practice Example: Vehicle model with detailed engine, transmission and suspension system ~ 250,000 equations before reduction ~ 25,000 equations after reduction Source: Paper presented by Mike Tiller, Ford Motor Company at the Modelica Workshop, 2000 Hydraulics Engine including combustion Automatic gear box

Powertrain Dynamics Library Powertrain Dynamics Library, a library for modelling rotating MultiBody systems Automotive powertrains, Aerospace and Marine transmissions Convenient modelling approach for complex powertrains Wide range of components available for modelling powertrain systems Easily reduce models from full multibody system to near 1D performance from drive cycle to driveability

Powertrain Dynamics Library Clutches Wet clutches, Band brakes, Cone, dog and one way clutches Bearings 1-6 DOF compliance Force dependent Coulomb, hydrodynamic and rolling friction models Shafts Torsional compliance with elastic and plastic deformation Joints Constant velocity, universal and plunging joints Gears Spur, helical, bevel, differential and epicyclic Single & multiple contacts Backlash, mesh stiffness, friction and 3D mesh forces Mounting systems Elastomeric models: Maxwell, frictional solid, and hydraulic bearing with Eigen dynamic Engines Mapped performance and emissions Drivers (closed & open loop) drive cycle and driveability tests

Automatic gearbox subsystem Torque converter model Dynamic type (not table based) modelling heat fluctuation from working the fluid Shift actuation Multibody mechanics and valves used to control the clutches within automatic transmission Heat port Allows a physical acausal thermal interface with other vehicle subsystems Gear set Multibody mechanics model of the gear set, shafts bearings and clutches

Torque converter with lock-up clutch Torque converter Dynamic torque converter model Lock-up clutch Lockup clutch for locking the torque converter in higher gears to reduce slip losses Thermal port Couples losses due to lock-up clutch and torque converter

Thermal network for oil and casing Gear set Physical connectors for clutch actuation Clutches Epicyclics Bearings

Torque converter 3 fluid control volumes: impeller, turbine and stator Models the fluid momentum as it is pumped through the 3 control volumes As the temperature increases, the oil viscosity decreases and the efficiency increases Mapped versions are available for less detailed experimentation

Torque converter lock-up clutch model Frictional torque = cgeo*mue*fn Flange to apply disengaging force cgeo is a geometry constant mue is a velocity dependent friction coefficient fn is the normal force acting on the clutch due to the clutch spring Multi-body mechanical flanges Heat rejection thermal port

Roller bearing friction model Friction torque: tau = fn*coeff*radius + Tseals + Tdrag Computes the friction force due to: Load on bearing Friction coefficient relating to the type of rollers Ball Pin Taper pin, etc. Oil seal drag on shaft (optional) Oil churning drag related to viscosity of lubricant

Results NEDC cycle Average fuel consumption (l/100km) Oil temperature (degc) 1.71% fuel economy benefit for preheating to 90degC from 23degC

Results ARTEMIS cycle (city + highway) Average fuel consumption (l/100km) Oil temperature (degc) 0.38% fuel economy benefit for preheating to 90degC from 23degC

Results With a heat flow of 100W, it takes 886s to heat the gearbox from -10 up to +90 degc. At a price of 0.15 per kwh, it costs 0.0037. NEDC / ARTEMIS (city + highway): Compare initial ATF temperatures: -10 vs. +23 degc Fuel economy benefit: 6.45% / 1.48% Fuel saved: 510 ml / 145 ml Savings: 0.56 / 0.16 Compare initial ATF temperatures: +23 vs. +90 degc Fuel economy benefit: 1.71% / 0.24% Fuel saved: 150 ml / 37 ml Savings: 0.17 / 0.04 Compare initial ATF temperatures: -10 vs. +90 degc Fuel economy benefit: 7.66% / 1.84% Fuel saved: 660 ml / 182 ml Savings: 0.73 / 0.20

Further work Study the effects of pre-warming of the batteries and additional vehicle subsystems on performance and overall energy efficiency Emissions of pollutants: investigate a potential reduction on tailpipe emissions

Conclusions The potential in fuel economy is real and could even be more significant if we pre-warm some additional vehicle subsystems. Pre-warming the gearbox could be very beneficial in a busy urban environment where the lubricant would usually take a long time to reach its ideal working temperature (see NEDC and ARTEMIS results).