Electric motor capable of reducing cogging torque
An electric motor including a rotor including magnetic pole units and a stator including slots facing an outer peripheral surface of the rotor. Each of the magnetic pole units is bulged to an outside in a radial direction so that a waveform of a magnetic flux density generated from the rotor is a sine wave shape, and a concave part or convex part which is small enough to prevent changing of a waveform cycle of cogging torque determined by a least common multiple of the number of slots and the number of magnetic poles of the rotor, is formed at a central part in a circumferential direction of an outer peripheral surface in each of the magnetic pole units.
1. A method of reducing cogging torque in a synchronous electric motor comprising:
providing a rotor including a plurality of magnetic pole units, each magnetic pole unit having the same shape wherein each magnetic pole unit has an outer peripheral surface and each of the magnetic pole units has a magnetic pole center P 1 ; and
providing a stator including slots facing the outer peripheral surface of the rotor, wherein,
correcting the outer peripheral surface of each of the magnetic poles by adding a correction amount based on a sine function to a reference surface to create a corrected outer peripheral surface, the reference surface having a rotor radius given by:
R=a−b /cos( c θ)
and the correction amount is given by:
Δ R=d sin( e θ),
wherein, the corrected outer peripheral surface has a rotor radius given by:
R+ΔR=a−b /cos( c θ)+ d sin( e θ),
wherein,
a is a radius of an inner peripheral surface of the stator,
b is a minimum gap between the rotor and the stator,
c is a coefficient,
θ is a mechanical angle between about −7.5° and about 7.5°,
d is a maximum correction amount, and
e is a coefficient set so that eθ is about 180° when the mechanical angle is at its maximum value and about −180° when the mechanical angle is at its minimum value,
wherein the corrected outer peripheral surface of each of the magnetic pole units is bulged to an outside in a radial direction so that a waveform of a magnetic flux density generated from the rotor is a sine wave shape, and
a concave part is formed at a central part in a circumferential direction of an outer peripheral surface in each of the magnetic pole units, the concave part being small enough to prevent changing of a waveform cycle of cogging torque determined by a least common multiple of the number of slots and the number of magnetic poles of the rotor.
2. The method according to claim 1 , wherein the least common multiple of the number of magnetic poles of the rotor and the number of slots is equal to or less than 100.
3. A method of reducing cogging torque in a synchronous electric motor comprising:
providing a rotor including a plurality of magnetic pole units, each magnetic pole unit having the same shape wherein each magnetic pole unit has an outer peripheral surface and each of the magnetic pole units has a magnetic pole center P 1 ; and
providing a stator including slots facing the outer peripheral surface of the rotor, wherein,
correcting the outer peripheral surface of each of the magnetic poles by adding a correction amount based on a hyperbolic cosine function to a reference surface to create a corrected outer peripheral surface, the reference surface having a rotor radius given by:
R=a−b /cos( c θ)
and the correction amount is given by:
Δ R=d /cos h ( e θ)
wherein, the corrected outer peripheral surface has a rotor radius given by:
R+ΔR=a−b /cos( c θ)+ d /cos h ( e θ)
wherein,
a is a radius of an inner peripheral surface of the stator,
b is a minimum gap between the rotor and the stator,
c is a coefficient,
θ is a mechanical angle between about −7.5° and about 7.5°
d is a maximum correction amount, and
e is a coefficient set so that eθ is about 180° when the mechanical angle is at its maximum value and about −180° when the mechanical angle is at its minimum value,
wherein the corrected outer peripheral surface of each of the magnetic pole units is bulged to an outside in a radial direction so that a waveform of a magnetic flux density generated from the rotor is a sine wave shape, and
a convex part is formed at a central part in a circumferential direction of an outer peripheral surface in each of the magnetic pole units, the convex part being small enough to prevent changing of a waveform cycle of cogging torque determined by a least common multiple of the number of slots and the number of magnetic poles of the rotor.
4. The method according to claim 3 , wherein the least common multiple of the number of magnetic poles of the rotor and the number of slots is equal to or less than 100.