Electric machine with variable cross-sectional area constant perimeter trapezoidal teeth
A radial flux electric machine includes a rotor configured to rotate about an axis of rotation and a stator fixedly positioned proximate the rotor. At least one of the rotor or the stator may include a plurality of teeth annularly arranged about the axis of rotation. Each tooth of the plurality of teeth may extend in a radial direction such that a plurality of cross-sectional areas of each tooth in a plurality of planes perpendicular to the radial direction may vary. And perimeters of the plurality of cross-sections may be substantially the same across the plurality of perpendicular planes.
1. A radial flux electric machine, comprising:
a rotor configured to rotate about an axis of rotation;
a stator fixedly positioned proximate the rotor; and
wherein, at least one of the rotor or the stator includes a plurality of teeth annularly arranged about the axis of rotation, and wherein each tooth of the plurality of teeth extends in a radial direction such that cross-sectional areas of a plurality of cross-sections of each tooth in a plurality of planes perpendicular to the radial direction vary, and perimeters of the plurality of cross-sections are substantially the same across the plurality of planes perpendicular to the radial direction.
2. The electric machine of claim 1 , wherein a shape of each tooth in at least one of an axial plane or a radial plane of the electric machine is a trapezoid.
3. The electric machine of claim 2 , wherein the shape of each tooth in at least one of the axial plane or the radial plane of the electric machine is an isosceles trapezoid.
4. The electric machine of claim 1 , wherein the plurality of teeth are annularly arranged on the stator.
5. The electric machine of claim 4 , wherein the rotor is disposed radially outwards of the stator, a width of each tooth in a radial plane increases in the radial direction towards the rotor, and a length of each tooth in an axial plane decreases in the radial direction towards the rotor.
6. The electric machine of claim 5 , wherein each tooth extends in the radial direction such that a cross-sectional area of each tooth in a plane perpendicular to the radial direction increases in the radial direction toward the rotor.
7. The electric machine of claim 4 , wherein the rotor is disposed radially inwards of the stator, and a cross-sectional area of each tooth of the plurality of teeth in a plane perpendicular to the radial direction increases in the radial direction toward the rotor.
8. The electric machine of claim 1 , wherein the plurality of teeth are annularly arranged on the rotor.
9. The electric machine of claim 1 , wherein the electric machine further includes a plurality of electromagnetic coils, and wherein each coil of the plurality of electromagnetic coils extends around a separate tooth of the plurality of teeth.
10. The electric machine of claim 9 , wherein each coil includes copper wire having one of a square, rectangular, or circular cross-sectional shape.
11. The electric machine of claim 10 , wherein the wire is multi-strand and each coil is wound in the form of a spiral in the radial direction along a tooth of the plurality of teeth.
12. The electric machine of claim 9 , wherein each coil includes copper foil wound around a tooth of the plurality of teeth such that a flat side of the foil extends over an entire length of the tooth in the radial direction.
13. The electric machine of claim 9 , wherein each coil includes a rib of copper foil wound in the form of a spiral in the radial direction along a tooth of the plurality of teeth.
14. The electric machine of claim 1 , wherein each tooth includes a soft magnetic composite (SMC) material.
15. The electric machine of claim 1 , wherein each tooth includes multiple pieces coupled together.
16. The electric machine of claim 15 , wherein the multiple pieces include a core portion integrally formed with an annular ring that extends around the axis of rotation and one or more wedge portions coupled to the core portion.
17. The electric machine of claim 16 , wherein the one or more wedge portions include at least two wedge portions disposed on opposite sides of the core portion.
18. The electric machine of claim 1 , wherein the electric machine is an electric motor or an electric generator.
19. The electric machine of claim 1 , wherein one of the stator or the rotor includes an outer part and an inner part and wherein the stator and rotor are separated by a double air gap.
20. The electric machine of claim 19 , wherein the outer part and the inner part connected together by a connecting portion made of a magnetically conductive material.