Mainrich International
Technical6 min readAugust 3, 2026

Magnetic Circuit Design for PM Motors: Ring Construction Before Magnet Grade

Work through magnetic circuit design in sequence: geometry and airgap first, magnet construction and orientation second, grade and temperature class third. On identical 10-pole ring geometry (Ø36.6 × Ø29.8 × 17 mm), a one-piece sintered Halbach ring in N45SH measured 629.0 mT peak airgap flux, against 415.7 mT for a conventional radial-oriented ring in the same N45SH grade, a difference of 51% with no change of material. A segmented ring built in the higher N50SH grade reached 521.4 mT, so a full grade step did not close the gap created by orientation. In this benchmark, construction and orientation moved airgap flux and back-EMF waveform more than the grade change did.

Mainrich International

Mainrich International

Engineering Team

magnetic circuit designrotor magnet ringHalbach ring motorradial oriented magnet ringsegmented magnet ringairgap flux densityback-EMF waveformrobot joint motor magnetsNdFeB grade selectionmultipole magnetization

Key Takeaways

  • On identical 10-pole geometry, a one-piece sintered Halbach ring measured 629.0 mT peak airgap flux against 415.7 mT for a radial-oriented ring in the same N45SH grade, a difference of 51% produced by construction and orientation alone.
  • A segmented ring built in the higher N50SH grade measured 521.4 mT, still 21% below the Halbach ring in N45SH. A single grade step does not compensate for an orientation choice.
  • Waveform follows construction. Radial rings measured trapezoidal, segmented rings measured square with saddle peaks at the pole edges, and only the Halbach ring produced a near-sinusoidal back-EMF without skewing or pole shaping.
  • The Halbach ring held pole-to-pole peak spread on its N poles to 8.6 mT, about 1.4%, the tightest uniformity of the three constructions, and its bore is nearly field free because the array self-shields.
  • Tolerance figures follow the process. Radial-oriented rings are quoted at ±0.05 mm and one-piece sintered Halbach features at ±0.02 mm, and the two numbers should never appear on the same drawing.
  • Grade and temperature class form the second axis. Radial rings run N30 to N48 with temperature classes up to EH, while the wider sintered catalogue covers N30 to N58 across three series with classes up to AH at 230°C.
01

The order we work through a rotor magnetic circuit

Most rotor enquiries arrive with a grade already written on the drawing and the construction still open. When a permanent magnet motor misses its torque constant, or the back-EMF carries more harmonic content than the drive wants, moving up a grade is the easiest change to specify, so it tends to be the first one proposed.

Grade sets the remanence available and the thermal margin protecting it at operating temperature. How much of that remanence reaches the airgap, and in what shape, comes from the construction and the orientation pattern, and both of those are fixed by process and tooling before the material question is worth arguing about.

On a new rotor the order runs: the geometry the mechanical package allows, meaning bore, wall thickness, stack height and airgap; then the construction and orientation pattern that produce the waveform the drive and control scheme require; then the grade and temperature class needed to hold that performance at the operating point.

Programs that take the last two steps in the opposite order usually end up paying for a higher grade and measuring a waveform they did not want.

02

What three ring constructions measured on the same geometry

In November 2025 we had three rotor ring constructions measured on identical geometry: Ø36.6 mm OD, Ø29.8 mm ID, 17 mm high, 10 poles, scanned at the OD surface on a multipole analyzer. Radial-oriented ring, N45SH: 415.7 mT peak, trapezoidal. Segmented ring, arc segments bonded to a hub and built a grade up in N50SH: 521.4 mT peak, square, with saddle peaks at the pole edges.

One-piece sintered Halbach ring, back in N45SH: 629.0 mT peak, near-sinusoidal. The Halbach ring produced 51% more peak flux than the radial ring, and both were N45SH, so none of that difference came from the material. It also produced 21% more than the segmented ring, which had been built in the higher N50SH grade.

On this geometry the orientation pattern mattered more to peak flux than the N45SH to N50SH grade step. The waveform matters as much as the peak. Trapezoidal is fine on six-step and a problem on a sinusoidal drive. The square profile from the segmented ring carries saddle peaks at the pole edges, which is where the bond lines between arc segments fall.

Of the three, only the Halbach ring produced a near-sine back-EMF without skewed magnetization or pole shaping, which is the behaviour field-oriented drives in robotics applications are designed around. Its peak spread from pole to pole across the N poles was 8.6 mT, about 1.4%, the tightest of the three.

03

Choosing the construction: radial, segmented, or Halbach

Radial-oriented rings are still the default construction. The supply base is the broadest and the tooling is the simplest, and skewed multipole magnetization can be ordered into the part itself, which reduces cogging without any change to the stator. On programs where unit cost dominates and the drive can work with a trapezoidal back-EMF, a radial ring will do the job well.

Segmented rings, built from arc segments bonded onto a hub, give the highest peak flux per dollar of the three. Arc segments are the cheapest manufactured form for the remanence, and they are then assembled. What you get back is waveform harmonics and bonded joints. Every bond line needs mechanical and thermal qualification, and the measured saddle peaks sit at those joints.

Segment count also affects rotor loss, which we cover separately in the article on segmentation and eddy current loss. One-piece sintered Halbach rings earn their price on a narrower set of programs. Waveform quality, flux per unit of magnet volume, or the behaviour of the bore has to matter more than piece cost before the construction is worth specifying.

There are no bonded segments to qualify, and because the array self-shields, the bore is nearly field free. That is what allows an encoder, a resolver, a control board or a bearing to sit inside the ring without a separate shield or a change to the layout. Diameter constrains the choice at the small end.

Below Ø20 mm OD the part moves to a multipole-oriented ring process, and pole count becomes diameter limited: around Ø6 mm the practical limit is 8 poles. Check that against the electrical design before the rotor layout is fixed.

04

Grade and temperature class as the second axis

With the construction settled, grade comes down to holding the operating point: remanence sets the ceiling, and intrinsic coercivity and temperature class decide how much of it survives at operating temperature and at the worst-case demagnetizing operating point. Two grade windows apply here. Radial-oriented rings sit in a narrower band than the block and arc catalogue, N30 to N48, with temperature classes available up to EH in that construction.

The wider sintered NdFeB grades catalogue runs N30 to N58 across three series: F-Series with no heavy rare earth content and no MOFCOM export licence requirement, N-Series conventional, and D-Series produced by grain boundary diffusion, with temperature classes reaching AH at 230°C. Grain boundary diffusion is how thermal margin gets added without giving up remanence.

In one verified factory case, an N45H was upgraded to N45UH using a 0.35% Tb surface coating. Intrinsic coercivity rose 50%, from 17.67 to 26.55 kOe, with no loss of Br, and the part used about 75% less dysprosium than the conventional alloying route. On EV traction motors and continuous-duty actuators, that is the route we take when the operating temperature has moved past what the original grade supports.

The demagnetization side of the question is treated in detail in our article on thermal demagnetization and temperature limits.

05

Manufacturability, tolerances, and what procurement should pin down

The manufacturing envelope belongs in the design review. Radial-oriented rings run a standard envelope of OD 20 to 75 mm, wall 2 to 7 mm, and height 5 to 50 mm, held to ±0.05 mm, with straight or skewed multipole magnetization. One-piece sintered Halbach rings are radially thin and net-shape, with no bonded segments, and critical Halbach features are controlled to ±0.02 mm.

Those two figures come from two different processes. Carrying the ±0.02 mm number onto a radial ring drawing, or the reverse, is one of the more common ways a quotation package goes out wrong. The supply base is the other practical constraint. One-piece sintered Halbach rings in series production are a capability few plants worldwide hold.

A plant in our production network runs them in series supply to robot joint-motor programs, which is a different proposition from a prototype shop that can produce a handful. If the ring is part of a larger rotor or sensing sub-assembly, specify the magnet assemblies requirements too: concentricity to the shaft, bond line and retention, magnetization fixturing, and measurement after assembly rather than before.

For sensing positions, deviation angle can be held under ±3° with 100% post-magnetization inspection. Quality documentation runs to ISO 9001:2015 and IATF 16949:2016 through the certified plant in our production network, with PPAP Level 3 packages available for automotive-grade programs.

06

How to brief a supplier on a magnetic circuit

With the seven points below we can come back on construction, grade and temperature class together instead of one item at a time. Our engineering response is within 1 business day, and pricing within 2 business days.

  • Geometry and airgap: OD, ID, height, mechanical airgap, and which of these are fixed by the package.
  • Pole count and the waveform the drive expects: sinusoidal for field-oriented control, trapezoidal for six-step, and whether skew is acceptable.
  • Flux target stated as a measurement: peak airgap flux at a defined scan radius, rather than an unqualified request for maximum strength.
  • Uniformity requirement: allowable pole-to-pole spread, in mT or percent, since this drives process and inspection more than peak flux does.
  • Bore requirement: whether an encoder, sensor, control board or bearing sits inside the ring, which is often the fact that decides Halbach against radial.
  • Thermal case: continuous operating temperature, peak temperature, and the worst-case demagnetizing operating point.
  • Documentation and volume: PPAP level, prototype quantity, and series forecast.
FAQ

Frequently Asked Questions

How should I approach magnetic circuit design for a PM motor?

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Work in sequence: fix the geometry and airgap the mechanical package allows, then choose the magnet construction and orientation pattern, then select grade and temperature class. Construction determines how much of the available remanence crosses the airgap and what waveform it produces, while the grade sets the size of the source it draws on. On identical 10-pole geometry, changing construction alone moved peak airgap flux from 415.7 mT to 629.0 mT at the same N45SH grade.

Will a higher magnet grade raise airgap flux more than changing the ring construction?

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Usually not. In a benchmark on identical Ø36.6 × Ø29.8 × 17 mm 10-pole geometry, a segmented ring in N50SH measured 521.4 mT peak while a one-piece sintered Halbach ring in the lower N45SH grade measured 629.0 mT, 21% higher. A grade step raises remanence incrementally, while construction and orientation change how much of that remanence reaches the airgap.

When is a Halbach ring worth the cost over a radial or segmented ring?

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A Halbach ring is worth it when waveform quality, flux per unit of magnet volume, or a field-free bore matters more than piece price, for example a robot joint motor with an encoder or control board inside the ring. A radial-oriented ring is the better choice when unit cost dominates and the drive tolerates a trapezoidal back-EMF, with skewed magnetization available to reduce cogging. Segmented rings suit programs that want the highest peak flux per dollar and can absorb waveform harmonics and bonded joints.

What waveform does each ring construction produce?

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Measured on identical geometry, the radial-oriented ring produced a trapezoidal waveform, the segmented ring a square waveform with saddle peaks at the pole edges, and the one-piece sintered Halbach ring a near-sinusoidal waveform. Only the Halbach construction reached near-sine back-EMF without skewing or pole shaping. The Halbach ring also held pole-to-pole peak spread to 8.6 mT on its N poles, about 1.4%.

What tolerances and size envelopes apply to multipole rotor rings?

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Radial-oriented rings run a standard envelope of OD 20 to 75 mm, wall 2 to 7 mm, and height 5 to 50 mm, held to ±0.05 mm, in grades N30 to N48 with temperature classes up to EH. One-piece sintered Halbach rings are net-shape, with critical features controlled to ±0.02 mm. The two figures come from different constructions and should never be mixed on one drawing.

How small can a multipole magnet ring go, and does pole count scale down with it?

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Below Ø20 mm OD, rings move from the standard ring process to a multipole-oriented ring process. Pole count is diameter limited at the small end: around Ø6 mm the practical limit is 8 poles. Confirm the pole count against diameter early, because it constrains the electrical design rather than the other way round.

Send us your rotor envelope, pole count, and operating temperature, and our engineers will come back with a magnetic circuit and construction recommendation, including assembly-level options, within 1 business day.

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