Analytical method for forces between current carrying infinite bars

Abstract

Purpose

The calculation of forces between rectangular conductors with a uniform current density as can be found in the long coils as used in linear actuators and planar motors.

Design/methodology/approach

The proposed methodology relies on a single analytical equation that is used to compute all the force components.

Findings

Several comparisons with other available techniques are provided. All the comparisons confirm the validity of the proposed analytical method.

Originality/value

In the literature, other analytical methods for the force computation can be found. However, these often have limitations (e.g. only adjacent conductors or non-adjacent conductors). This paper adds a new compact expression that covers all the possible configurations at the same time. This new tool holds for all the analytical expression found in the literature.

Citation

Compter, J. and Giaccone, L. (2016), "Analytical method for forces between current carrying infinite bars", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 35 No. 3. https://doi.org/10.1108/COMPEL-03-2015-0123