Lecture

Methodology: Electromechanical Force Calculation

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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 provides a recap of different methods for calculating forces in electromechanical systems, starting with Laplace's force for conductors in a magnetic field, followed by Maxwell's tensor for saturated systems, and the general derivative formula for non-linear systems. The instructor emphasizes the importance of understanding the magnetic field and making appropriate assumptions for accurate force calculations.

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

Quiz

Ontological neighbourhood

Physics

Electromagnetism: Electrodynamics

Related concepts (20)

Maxwell stress tensor

The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor used in classical electromagnetism to represent the interaction between electromagnetic forces and mechanical momentum. In simple situations, such as a point charge moving freely in a homogeneous magnetic field, it is easy to calculate the forces on the charge from the Lorentz force law. When the situation becomes more complicated, this ordinary procedure can become impractically difficult, with equations spanning multiple lines.

Electromagnetic tensor

In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime. The field tensor was first used after the four-dimensional tensor formulation of special relativity was introduced by Hermann Minkowski. The tensor allows related physical laws to be written very concisely, and allows for the quantization of the electromagnetic field by Lagrangian formulation described below.

Maxwell's equations

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields.

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

Tensor

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There are many types of tensors, including scalars and vectors (which are the simplest tensors), dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product.

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