Comparison of the force computation using the vector and scalar potential for 3D

Abstract

Ab#tract--Tao ways of secondary field quantities and force calculation are dimcussed and compared. For the magnetostatic case both approaches, scalar potentid and vector potential method can be applied. The malar potential formulations have proved to be very effective and finally the normal components of the magnetic flux density can be computed. If the vector potential method i s used, it i s necessary to determine the tangential components of the magnetic field strength as the secondary field value. The paper describes the method of the calculation of 3 D static fields using finite difference solutions. For calculation of forces the Maxwell stress is used.

Modelling and position control of voltage forced electromechanical actuator

“…where T denotes modified Maxwell's stress tensor (Demski and Szymański, 1997) proposed as follows: Then total force is defined:…”

“…Total force influencing on movable armature is obtained from equations ( 11) to (13) as a combination of calculated potentials in equation ( 26). The method is widely described in (Demski and Szymański, 1997). Then is solving the discrete state space equation of mechanical system to obtain velocity and displacement.…”

Computational electromagnetics in Poland: a review

“…Indeed, in some areas Polish scientists are in the forefront of worldwide developments. The following brief review is not intended to be an exhaustive list but merely an example: simulation of motion in FE analysis [15][16][17], methods of force calculation [18], transient fields in ferromagnetics [19][20][21], leakage field modelling in transformer systems [22,23], reluctance network methods [24], field synthesis and inverse problems [25][26][27][28][29], boundary element method [30], electrobiological interaction [31], gauge conditions [32]. Book coauthorship includes analysis of eddy currents [6] and electromagnetic optimisation [33].…”