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# Modelling and Simulation of Systems (for new MSc Sustaintable Automotive Electrification)

#### Introduction

In this module the student will gain a comprehensive understanding and practical experience of the modelling and simulation of physical systems within an automotive context. Developing both theoretical and practical understanding of the derivation of ordinary differential equations, applicable numerical methods and the construction of models to solve problems in both time and frequency domains.

#### Objectives

Upon successful completion participants will be able to:

• Demonstrate a comprehensive understanding of the practical application of the different approaches to mathematical modelling and analysis of one-dimensional physical systems
• Derive, translate, solve & analyse 1D functional models of physical systems in sequential block diagram & state variable forms.
• Critically evaluate a range of numerical solver methods and evaluate the correct usage and errors for each within the context of simulation efficiency and accuracy. Demonstrate understanding in model linearization and parameter estimation methods.
• Critically evaluate different methods of model verification and validation and synthesise a framework for data driven modelling within the context of model aims and objectives.
• Develop integrated models of automotive systems to gain a practical understanding of multi-physics simulation techniques.

#### Syllabus

• 1-D Multi Physics System Simulation within the electrical, mechanical and hydraulic domains.
• Physical Modelling using ordinary differential equations (ODE's) and state variable block diagram modelling methods for both linear and non-linear systems.
• Eigen-value calculation & transfer-function analysis of physical automotive systems within the frequency domain and time domain.
• Understanding and application of data-driven modelling
• Numerical integration methods including solver selection and its impact on simulation stability and accuracy.
• The use of simulation methods, including Co-Simulation/Embedded/Real Time Application
• The role of verification and validation techniques within systems modelling and simulation analysis.

#### Assessment

• Modelling framework report (50% weighting)
• Computer model and simulation question (30% weighting)
• Online assessed quiz (20% weighting)

#### Duration

2 weeks including 30 hours of lectures and 10 hours of supervised practical classess