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Lecture

Magnetic Energy and Co-energy

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 concept of magnetic energy and co-energy, explaining the local form of energy in magnetic systems and the variable changes in magnetic fields. It discusses the linear case and provides insights into the calculation of magnetic and co-energy.

In MOOC

Electromechanical conversion I

Instructors (2)

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/

Christian Köchli

Official source

Related concepts (31)

Magnetic moment

In electromagnetism, the magnetic moment is the magnetic strength and orientation of a magnet or other object that produces a magnetic field. Examples of objects that have magnetic moments include loops of electric current (such as electromagnets), permanent magnets, elementary particles (such as electrons), composite particles (such as protons and neutrons), various molecules, and many astronomical objects (such as many planets, some moons, stars, etc).

Linear map

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism. If a linear map is a bijection then it is called a .

Linear independence

In the theory of vector spaces, a set of vectors is said to be if there exists no nontrivial linear combination of the vectors that equals the zero vector. If such a linear combination exists, then the vectors are said to be . These concepts are central to the definition of dimension. A vector space can be of finite dimension or infinite dimension depending on the maximum number of linearly independent vectors. The definition of linear dependence and the ability to determine whether a subset of vectors in a vector space is linearly dependent are central to determining the dimension of a vector space.

Linear combination

In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics. Most of this article deals with linear combinations in the context of a vector space over a field, with some generalizations given at the end of the article.

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions.

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