Lecture

Magnetic Energy: Saturation and Coenergy

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In course

MICRO-313: Actuators and Electromagnetic systems I

Le cours aborde les principales méthodes pour l'analyse de systèmes électromécaniques. Une étude des grandeurs physiques magnétiques est suivie par la conversion de l'énergie électrique en énergie mécanique. L'aimant permanent est étudié de manière macrosc ...

Description

This lecture covers the calculation of magnetic energy in the presence of saturation, introducing the concept of magnetic coenergy for force calculations in saturated cases. The instructor explains the process step by step, highlighting the importance of considering the totalized flux and conducting numerical calculations due to non-linearity. The relationship between current, magnetic potential, and totalized flux is explored, leading to the representation of current and flux in terms of magnetic field strength and area. The lecture concludes by discussing the significance of magnetic coenergy in electromechanical conversion processes.

In MOOC

Electromechanical conversion I

Electric motors and actuators in general are part of our everyday lives, and can be found in both industrial and consumer applications: automobiles, household appliances, computers and even cell phones use electromechanical systems to create force or motion. This course covers the basic principles involved in the calculation, simulation and design of electromechanical systems such as actuators and electric motors. The course includes the following modules:

Magnetic circuits
Magnetic materials
Si

Instructors (2)

Christian Köchli

Teaching & PhD PhD Students Maël Dagon Past EPFL PhD Students as codirector Sebastiano Merzaghi, Chafic Abu Antoun, Florian Louis Copt, Sofia Lydia Ntella Courses Actuators and Electromagnetic systems I MICRO-313 The course covers the main methods for the analysis of electromechanical systems. A study of magnetic physical quantities is followed by the conversion of electrical energy into mechanical energy. The permanent magnet is studied macroscopically. The dynamic aspect of the system is

Yves Perriard

Yves Perriard was born in Lausanne in 1965. He received the M. Sc. in Microengineering from the Swiss Federal Institute of Technology - Lausanne (EPFL) in 1989 and the Ph D. degree in 1992. Co-founder of Micro-Beam SA, he was CEO of this company involved in high precision electric drive. Senior lecturer from 1998 and professor since 2003, he is currently director of Laboratory of Integrated Actuators. His research interests are in the field of new actuator design and associated electronic devices. In 2009, he is appointed Vice-Director of the Microengineering Institute in Neuchâtel until 2011. In 2013 the Federal Council has named him the the CTI commission in Bern. In 2014 he is appointed guest professor at Zhejiang University in China. In 2017, the lab is granted by the Werner Siemens Foundation of an amount of 12 millions CHF in order to set up a new Center for Artificial Muscules. Since 2018, he is Expert with Innosuisse, the new Swiss Innovation Agency. http://scholar.google.com/citations?hl=fr&user=V2onuO8AAAAJ https://actu.epfl.ch/news/a-12-million-franc-donation-to-create-a-center-for/

Official source

Related concepts (23)

Magnetic domain

A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction. When cooled below a temperature called the Curie temperature, the magnetization of a piece of ferromagnetic material spontaneously divides into many small regions called magnetic domains. The magnetization within each domain points in a uniform direction, but the magnetization of different domains may point in different directions.

Magnetic reluctance

Magnetic reluctance, or magnetic resistance, is a concept used in the analysis of magnetic circuits. It is defined as the ratio of magnetomotive force (mmf) to magnetic flux. It represents the opposition to magnetic flux, and depends on the geometry and composition of an object. Magnetic reluctance in a magnetic circuit is analogous to electrical resistance in an electrical circuit in that resistance is a measure of the opposition to the electric current. The definition of magnetic reluctance is analogous to Ohm's law in this respect.

Magnetic circuit

A magnetic circuit is made up of one or more closed loop paths containing a magnetic flux. The flux is usually generated by permanent magnets or electromagnets and confined to the path by magnetic cores consisting of ferromagnetic materials like iron, although there may be air gaps or other materials in the path. Magnetic circuits are employed to efficiently channel magnetic fields in many devices such as electric motors, generators, transformers, relays, lifting electromagnets, SQUIDs, galvanometers, and magnetic recording heads.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Numerical stability

In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear algebra, the principal concern is instabilities caused by proximity to singularities of various kinds, such as very small or nearly colliding eigenvalues.

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