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Multi-Pole Magnetic Circuit Comparisons

October 19th, 2016

Section 1: Explanation

Most permanent magnets have a direction of anisotropy, where the magnetic domains are forced into a single direction during the production of the magnetic material. The magnet must then be magnetized in the direction of anisotropy, but being one-dimensional does not mean that the location of magnetic North has been decided. The magnet can be magnetized in either North or South "up" in the direction of anisotropy and this magnetization can occur different in each domain. Therefore, for any given piece of anisotropic permanent magnetic material a decision can be made to magnetize the magnet as a multi-pole magnet. Where there are any given number of North or South poles on a single face, as long as they all face the same direction. There will be an interpolar zone (or dead transition zone) between each pole as the magnetic direction transitions from North to South on the face. This is expressed in the models as air space between the multiple magnetic poles for simplicity.

Magnetizing a permanent magnetic material as a multipole magnet, as opposed to magnetizing the entire magnet in one direction, can have several advantages if designed correctly, including increased holding force, self alignment of components due to attraction and repulsion, decreased target thickness, and lower flux density levels in the air gap. 


Section 2: Experiment Design

Solid ring magnet

By taking a standard ring magnet, shown above, and wrapping a magnetizing coil into multiple sections, instead of a single coil, we can achieve an alternating pole magnetization that modifies some properties of the magnet, shown below.

Pole face magnetic pattern with 4 poles

This magnetization pattern can be achieved in any even number of poles, all giving different responses to holding force and other testable magnetic characteristics. Without changing the permanent magnetic material, the mass, or the shape of the magnet at all, we can achieve different effects. The pattern shown above is a multipole magnet with 4 alternating poles on the face. The empty space between the sections represents an “interpolar region” where the pole is ill-defined, transitioning from North to South. This region is not very effective and is essentially dead space. This means that we’ve negated some of the potential energy in a holding magnet by creating this space, but the other effects outweigh that loss and can create a much stronger holding force because of the new multiple directions of flux lines, causing the lines to have more directions to travel and can therefore carry more flux in more places between the magnet and the held object, possibly resulting in a higher holding force in certain applications.

8 pole model

Using FEA (Finite Element Analysis) software we can estimate the possible holding forces from different numbers of poles quickly and fairly accurately to directly compare them in similar situations. For comparison, a magnet has been created using a 25mm diameter ring magnet, with a 5mm inner diameter, 3mm thickness, and three configurations of poles; 1 pole per ring face, 4 poles per ring face, and 8 poles per ring face. Holding force will be measured against 3 different soft magnetic materials and another magnet (of identical configuration). The 3 materials chosen were 1010 cold rolled low carbon steel, a 50% iron 50% cobalt material, 416 stainless steel; and then of course the identical N52 Neodymium Iron Boron magnet mirrored so that opposite poles were attracted. Shown above is the 8 pole on the ring face configuration mating against the 1010 steel. All mating surfaces, except for the identical magnet, were created with a 30mm diameter.


Section 3: Data

A soft magnetic mating material needs to be tuned to the circuit, for the most efficient and economical size. If a mating material is too thin, holding force will decrease because the material will become magnetically saturated, and be unable to carry more flux. If the mating material is too thick, material is being wasted without a significant gain in holding force or flux transmission. Since the saturation flux density in most soft materials is known, tuning the circuit is not exceptionally difficult. This task has been done during the experiment and only the most efficient uses of material are listed in the table. With each multipole magnet, a different thickness of mating material was found to be the most efficient. That thickness is listed in the holding force data below.

Table of holding forces and other data

Flux density is the property of interest in holding force applications. With the increase in poles on the magnet face, the average flux density of the entire mating area increased, causing a higher holding force. It can be seen, in the flux density maps below, that more of the mating area is a higher flux density value as we increase the number of poles. There is a peak with each magnet size, not shown in this experiment, where more poles will not be beneficial. This shows that as the total average flux density of the entire mating area increases, so does the holding force between the magnet and mating surface. The flux density maps show the mating face of the 1010 steel when each of the three magnets are 20 microns from the mating surface. The magnet was held at a distance of 20 microns to account for any coating on the magnet and target face. Flux density reading below are in Tesla.

Single pole flux density map

4 pole flux density map

8 pole flux density map