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Modelling and Simulation Specialists Multi-Domain Simulation of Hybrid Vehicles Multiphysics Simulation for Autosport / Motorsport Applications Seminar UK Magnetics Society

Claytex Services Limited Software, Consultancy, Training Based in Leamington Spa, UK Office in Cape Town, South Africa Experts in Systems Engineering, Modelling and Simulation Business Activities Engineering consultancy Software sales and support Modelica library developers FMI tool developers Training services Dassault Systemes Certified Education Partner Global customer base Europe, USA, India, South Korea, Japan

Challenges Market demands Improved fuel economy Lower emissions Improved reliability Noise quality Driveability Performance Engineering solutions More active systems Increases complexity Better control of existing systems Increasingly complex control requiring large calibration effort Tighter integration of all vehicle systems Hybridisation of powertrain Management demands Faster time to market Lower development and manufacturing cost

Vehicle Modelling Gearbox and Driveline Mechanics Thermal Hydraulics Engine Electrification Air flow Control Mechanics Cooling Cooling system Fuel system Control system Electrification Hydraulics Thermal Management Engine Cooling HVAC Battery Cooling Power Electronics Cooling Battery Electrical Thermal Cooling Control Chassis Mechanics Active systems Control Electric Drives Electrical Magnetic Thermal Control

The need for physical modelling Automotive products are complex systems covering many domains Mechanical, Electrical, Hydraulic, Pneumatic, Thermal, Chemical, Control, Magnetic, No longer sensible to wait for prototypes to verify that all these systems interact in a good way It s not practical, or perhaps even possible, to fully verify and validate control systems using prototypes Need to use predictive models and not just functional ones to make simulation useful for control development from an early stage of the project

Functional and Predictive models A Functional model is one that captures the key function of the model A Predictive model allows us to predict the behaviour and explore it s characteristics The clutch is there to make sure the two inertias rotate at the same speed when engaged Functional model Would reduce the relative speed across the clutch in a predefined manner The controlling parameter would be the engagement time Predictive model Would include a model for friction and the torque transfer would be a function of the clutch clamp load, relative speed, temperature, The parameters would include the geometry and friction characteristics The engagement time could be predicted under different operating scenarios

Dymola Multi-domain modelling and simulation tool using a component orientated, physical modelling approach 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

Model Definition Models are defined using the Modelica modelling language A freely available, open source, generic modelling language Design for convenient, component orientated modelling of complex multi-domain systems Developed by the Modelica Association An independent, international not-for-profit organisation 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;

Modelling Magnetics in Dymola Two libraries available within the Modelica Standard Library covering magnetics FluxTubes for modelling of electromagnetic devices with lumped magnetic networks. suited for both rough design of the magnetic subsystem of a device as well as for efficient dynamic simulation at system level together with neighbouring subsystems Typical applications are actuators and inductors FundamentalWave for modelling of electromagnetic fundamental wave models for the application in multi phase electric machines All the machine models provided in this library are equivalent two pole machines. The magnetic potential difference of the connector therefore also refers to an equivalent two pole machine In machines with more than three phases only effects of currents and voltages on the magnetic fundamental waves are considered

Motor models Basic concept The exact magnetic field in the air gap of an electric machine is usually determined by an electro magnetic finite element analysis The waveform of the magnetic field, e.g., the magnetic potential difference, consists of a spatial fundamental wave - with respect to an equivalent two pole machine - and additional harmonic waves of different order. The fundamental wave is however dominant in the air gap of an electric machine In the fundamental wave theory only a pure sinusoidal distribution of magnetic quantities is assumed. It is thus assumed that all other harmonic wave effects are not taken into account. Modelica Implementation The waveforms of the magnetic field quantities are represented by a complex phasor: The specific arrangement of windings in electric machines with P pole pairs gives rise to sinusoidal dominant magnetic potential wave. The spatial period of this wave is determined by one pole pair

Motor model Modelica model diagram of a permanent magnet synchronous machine Electrical circuit in blue Magnetic circuit in orange Mechanics in grey Thermal in red Electrical, Magnetic and Friction properties are temperature dependent

Modelica Application Libraries Air Conditioning Batteries Belts edrives Engines FlexBody Fuel Cell Heat Exchanger Human Comfort Hydraulics Liquid Cooling Pneumatics Powertrain Dynamics Simulator Smart Electric Drives SystemID Terrain Server TIL Suite Vapor Cycle Vehicle Dynamics VDLMotorsports XMLReader

Example: Formula 1 powertrain Optimise the thermal management of the ERS to reduce weight and improve aerodynamic losses: Intercooler sizing Reduce coolant volume throughout the cooling system Therefore necessary to: gain a better understanding of the thermal performance of the ERS devices, focussing on the ES device for this particular task

Testing environment Open loop driver model Throttle Brake Steering Gears Vehicle model Powertrain Chassis Brakes Tyres Atmosphere Pressure Density Wind speed and direction World Coordinate system Gravity Animation settings Road model 3D road surface model Inclination Friction coefficient of surface

Vehicle model Dymola libraries: Vehicle Dynamics Motorsport Closed loop driver Multibody chassis Pacejka tyre models Brakes Gearbox Engines Power unit ICE and cooling Electrical libraries MGUK MGUH ES

Chassis model

Power Unit ICE, MGU and Coolant System integration Parameterised mean value engine model is pressure charged by means of a mapped turbocharger and integrated with the MGUH and MGUK in the power unit model below: ICE Cooling systems

MGU and ES representation MGUs ES Electrical effects Internal resistance Heat losses Inductance Magnetic effects Heat losses Core losses Mechanical effects: Inertia Frictional losses Heat rejection Torque reaction into MGU support Equivalent Circuit model Internal resistance Diffusion limitation Thermal losses Resistance, Capacitance, OCV with temperature & SOC dependency

Conclusions Ability to interface multiple domains to understand the whole system dynamics Multiple ERS control strategies were evaluated using physical system models Models are real-time capable using a Quasi steady state version of the motors and can be used within a driver simulator