A New Computational Method for the Interaction Between Cylindrical Permanent Magnets and Massive Circular Coil

Abstract

A novel analytical method has been developed to accurately model the magnetic interaction between a massive circular current-carrying coil and cylindrical permanent magnets. This new approach, rooted in the coulombian model, addresses the computational complexity of cylindrical shapes by proposing a smart decomposition: the magnets are analytically partitioned into a grid of (N, M) elementary cuboidal magnets. This approximation not only calculates the magnetic force between two cylindrical magnets but also accurately models the forces between a coil and a magnet. Crucially, the method outperforms the modified filament technique and is demonstrably accurate, showing excellent agreement with measured values. The resulting simplified, yet highly accurate, calculation tool is ideal for the rapid design of advanced magnetics systems, including unconventional magnetic couplings and planar actuators.