# Computer-aided Electromagnet-thermal Project

**Year**

1

**Academic year**

2022-2023

**Code**

03000420

**Subject Area**

Electrical and Computer Engineering

**Language of Instruction**

Portuguese

**Other Languages of Instruction**

English

**Mode of Delivery**

Face-to-face

**ECTS Credits**

6.0

**Type**

Elective

**Level**

3rd Cycle Studies

## Recommended Prerequisites

Electromagnetics, Computational Mathematics, Linear Algebra

## Teaching Methods

The teaching methodology consists in a small number of seminaries, taught by the teacher for the introduction of the fundamental topics, complemented with a bibliographic survey by the students to deepen their knowledge about these subjects, being supported in this work by a set of tutorial classes.

## Learning Outcomes

Subjects of important practical application for the project, simulation and optimization of electromagnetic devices are studied. The computational approach will be addressed instead of circuital equivalent analysis. It will be studied numerical methods to analyze the electromagnetic field and heat transfer, such as the Finite Element Method (FE), finite difference (FD), finite difference time domain (FDTD), method of moments (MOM), among others. The course presents basic concepts for developing pre-and post-processors for the calculation of quantities and derived quantities, such as EMF, voltage, power, torque, flux, electric field strength, magnetic field strength, from the numerical solution of the field.

At the end, students should be able to analyze and optimize parts of the systems that are related to heat dissipation and involving electromagnetic phenomena.

## Work Placement(s)

No## Syllabus

Maxwell's equations. Continuity equations and boundary interfaces.

Analytical methods for the solution of electromagnetic field equations.

Thermal equation.

Numerical methods. The finite difference method (FD and FDTD).

The weighted residues method. The Gallerkin method. The method of moments.

The finite element method.

Linear static fields. Solution of the Poisson equation by finite elements and boundary elements. Iterative methods for solving algebraic equations systems.

Magnetic saturation. Simple iterative methods. Newton-Raphson method. Anisotropy. Numerical modeling of permanent magnets.

Time-varying fields. Low-frequency electromagnetic fields. Skin effect. Surface impedance. Higher order Finite Elements.

Modeling of the external electrical circuit.

Preprocessors. Postprocessors. Calculation of derived quantities from the numerical solution of the electromagnetic field. Calculating equivalent electrical parameters. Losses.

## Head Lecturer(s)

António Paulo Mendes Breda Dias Coimbra

## Assessment Methods

Assessment

*Exam: 40.0%*

*Survey work/simulation work/experimental work about a given topic under the scope of the curricular unit: 60.0%*

## Bibliography

D. Lowther e P. Silvester (1986), *Computer Aided Design in Magnetics*, Springer Verlag.

Jan Sykulski (1995), *Computational Magnetics*, Chapman & Hall.

Nathan Ida, João P. A. Bastos (1997), *Electro-Magnetics and Calculation of Fields*, Springer (2^{nd} ed)*.*

J. P. Holman (2009), *Heat Transfer*, McGraw-Hill (10^{th} ed).

Sheppard J. Salon (1995), *Finite Element Analysis of Electrical Machines*, Kluwer.

M.V.K. Chari , Sheppard J. Salon (1999), *Numerical Methods In Electromagnetism*, Elsevier Science & Technology.