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In the design of Permanent Magnet Direct Current (PMDC) motors, there isn’t a universal “formula for the area of the magnet” that applies in all cases, as the required magnet area will depend on various factors, including the magnetic material, the desired motor performance (e.g., torque and speed), the geometry of the motor, and the specific application requirements. However, the general approach to determining the magnet size or area in a PMDC motor involves calculating the magnetic flux requirements and matching them to the motor’s electromagnetic design.
The magnetic flux ((Phi)) generated by the magnets is a critical parameter, and it is related to the magnet’s volume or area and the magnetic material’s properties. The magnetic circuit design, including the air gap, the magnetic path’s length and cross-sectional area, and the magnetic material’s B-H curve (magnetic flux density – magnetic field strength relationship), must be considered to ensure the motor meets its performance specifications.
A simplified approach to estimating the magnet area could start with determining the total magnetic flux ((Phi)) required in the air gap for the desired motor output. This can be related to the motor’s electromagnetic torque ((T)) and the current ((I)) according to the formula:
[ T = k cdot Phi cdot I ]
where (k) is a constant that includes the number of turns in the armature winding and other geometric and magnetic factors of the motor design.
From the magnetic circuit analysis