{"id":857,"date":"2026-04-01T10:46:00","date_gmt":"2026-04-01T01:46:00","guid":{"rendered":"https:\/\/www.muratasoftware.com\/en_wacul_new\/fwp-new-wacul\/?post_type=case&#038;p=857"},"modified":"2026-08-24T16:39:13","modified_gmt":"2026-08-24T07:39:13","slug":"luv010","status":"publish","type":"case","link":"https:\/\/www.muratasoftware.com\/en\/case\/luv010\/","title":{"rendered":"Linear Motor with Dual Halbach Array"},"content":{"rendered":"\n<figure class=\"wp-block-table blockPattern__table\"><table><thead><tr><th>General<\/th><th>The Halbach array technology is greatly expected to achieve a light compact high-torque motor.<br>This example explains how to calculate the propulsion force of a linear motor incorporating magnets in a dual Halbach array.<\/th><\/tr><\/thead><tbody><tr><td>Analysis Model<\/td><td>The model is a dual Halbach array linear motor that has permanent magnets arranged in the Halbach array, in the upper and lower positions.<br>As Halbach array causes magnetic flux to concentrate inside arrayed magnets, the model without a back yoke is applied and analyzed.<br>With the external circuit coupling, set current values to the input and analyze the model.<\/td><\/tr><tr><td>Result<\/td><td>A current source allows you to calculate a torque in a steady state.<br>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.<br>The magnetic fields generated by the arrayed magnets can be analyzed in the magnetostatic analysis.<br>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.<br><br>Please see Femet Official YouTube Channel where you can see the movie of this example.<br>Click&nbsp;<a href=\"https:\/\/youtu.be\/frnkwyMAyMU\"><strong>here<\/strong><\/a>!<\/td><\/tr><tr><td>Keywords<\/td><td>External Circuit Coupling, Motor Design, Halbach Magnet Arrays, <br>Linear Motor Thrust<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-2 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb19fe0d&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb19fe0d\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"2954\" 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fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb1a0155&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb1a0155\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"2955\" 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