Modeling by physical analogies & analysis

Objectives

-          Skill in energy system modelling by using electrical equivalent circuit models whatever the physical domain (electrical, mechanical, hydraulic, magnetic, thermal)

-          Ability to analyse the time and frequency behaviour of specific transfer functions and apply the root locus method for stability analysis.

Description

Introduction to physical analogies in energy systems:

- Generalised energy variables and generalised power variables.

- Elements of physical systems: source, dissipative or energy storage elements (I or C elements), interconnecting elements (generalized nodes, transformers and gyrators)

- causality in physical systems.

- Examples of systems: academic cases, liquid level control, motor position control

Analysis of continuous linear systems

- linearization of a nonlinear system.

- Temporal analysis: influence of poles and zeros in transfer functions.

- Stability analysis by the root locus method.

Pre-requisites

Electrical circuits, Laplace Transform

Session 1 ou session unique - Contrôle des connaissances

Session 2 - Contrôle des connaissances