Application Catalog


108 - Centrifugal Force Subversion Analysis of a Ring Magnet <DS>


Overview
Centrifugal Force Subversion Analysis of a Ring Magnet of a PM Stepper Motor :Overview
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The development of motors able to reach high rotation speeds is expanding as the technology is more widely implemented in the industrial field of permanent magnet synchronous motors.
A magnet will shatter when the amount of stress surpasses the mechanical strength in an SPM motor that uses a ring magnet. This problem stems from the centrifugal force produced in a rotor at high rotation speeds.
Analyzing the maximum rotation speed of a motor through simulation to evaluate methods to prevent the magnet from shattering, such as designing reinforcement rings, becomes highly advantageous during the design stage.
This example analyzes the tensile stress distribution of a ring magnet when the permanent magnet synchronous motor is rotated at high speeds.

Eddy Current Loss Density Distribution
Centrifugal Force Subversion Analysis of a Ring Magnet:Eddy Current Loss Density Distribution
Closeup
The tensile stress distribution of the magnet when the rotation speed change without a reinforcement ring is indicated in Fig. 1. As indicated in the figure, the magnet shatters when the amount of stress exceeds the mechanical strength, between 2750 rps to 3000 rps, when a reinforcement ring is not used.

Tensile Stress Distribution with and without a Reinforcement Ring
The tensile stress distribution with and without the reinforcement ring at a rotation speed of 3000 rps is indicated in Fig. 2. As indicated in the figure, the magnet has not exceeded its tensile stress limit when a reinforcement ring is used. The tensile stress limit is not exceeded because the reinforcement ring suppresses the deformation of the magnet. The SPM motor can be driven at faster rotation speeds by preventing shattering of the ring magnet. Centrifugal Force Subversion Analysis of a Ring Magnet:Tensile Stress Distribution with and without a Reinforcement Ring
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Updated: 2011-01-17



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