Application106 Linear Motor with Dual Halbach Array

The Halbach array technology is greatly expected to achieve a light compact high-torque motor.
This example explains how to calculate the propulsion force of a linear motor incorporating magnets in a dual Halbach array.

Analysis Model
The model is a dual Halbach array linear motor that has permanent magnets arranged in the Halbach array, in the upper and lower positions.
As Halbach array causes magnetic flux to concentrate inside arrayed magnets, the model without a back yoke is applied and analyzed.
With the external circuit coupling, set current values to the input and analyze the model.

A current source allows you to calculate a torque in a steady state.
The resulting graph shows the waveform of the electromagnetic force with respect to time, which means the propulsion force that drives the 3-phase coils (the mover) is given in the magnetic-transient analysis.
The magnetic fields generated by the arrayed magnets can be analyzed in the magnetostatic analysis.
The magnetostatic analysis in 2D indicates that the magnets arranged in a dual Halbach array allow magnetic flux lines to concentrate between the upper and lower magnets with almost no magnetic flux lines outside thereof.

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