In this paper we study the regularity of the solution of an elliptic partial di erential equation with discontinuous coe cients. This result is used to establish the continuous Fr echet di erentiability of a shape functional arising in the optimal shape design of an electromagnet.

In medium voltage vacuum circuit breakers, in order to achieve an even distribution of force along the entire length drive shaft, mechanism is made per phase, that is, a separate electromagnet installed under each pole. The analysis designs and features operation breakers with phase electromagnetic carried out. Deficiencies these drives have been identified. design breaker kinematic diagram mon...

This paper presents the simulation of the dual electromagnet Active Magnetic Levitation System realized in the COMSOL Multiphysics software. The mixed mode of Partial Differential and Ordinary Differential Equations is used to realize the levitated object motion. Two control scenarios are given as illustrative example of the working model.

A high-power, rectangular discharge chamber is being designed by the University of Michigan for operation with multiple discharge cathode assemblies (DCAs). The multiple cathode approach attempts to increase thruster lifetime by operating three DCAs sequentially, possibly providing a threefold increase in discharge life. The baseline multiplecathode discharge chamber (MCDC) magnetic field topol...

1. Introduction From the principal point of view, the magnetic levitation is a method which is used for suspending an object in the air, without any physical contact. There are few main types of the magnetic levitation – electromagnetic, electrodynamic, transformation, superconductive and diamagnetic. All these are usually based on the force interaction between magnetic field and gravitation fi...

The problem of nding the optimal shape of an electromagnet is considered in the context of nite element discretization of the state equation. An expression for the gradient in the nite dimensional setting is derived and compared with the corresponding in nite dimensional gradient. An asymptotic convergence result is proved under suitable smoothness assumptions on the nite element basis.