Linear motor curve module with improved geometry
A linear motor system has multiple modular track sections joined end-to-end to form a track along which movers may be displaced by the control of magnetic fields generated by coils disposed in each track section. A curved track section is provided that includes a non-constant radius of curvature that is a non-linear function of the run length along the curved track section. The curved track section may have a number of different radii of curvature, and one or more of them may be based on a non-linear function of the run length. The resulting curvature provides improved dynamic performance of movers driven along the curved track section.
1. A linear motor system comprising:
a permanent magnet mover configured to be displaced by a controlled magnetic field;
a modular straight track section;
a modular curved track section positionable adjacent to the modular straight track section to provide a continuous track;
wherein each track section comprises a plurality of coils energizable to create the controlled magnetic field for movement of the mover, and each track section is configured to support and guide the mover in movement along the track sections; and
control and driver circuitry coupled to the coils and configured to control energization of the coils to create the controlled magnetic field; and
wherein the curved track section has a non-constant radius of curvature that is a non-linear function of a run length along the curved track section.
2. The system of claim 1 , wherein the curved track section has a curvature following a geometry that results in the mover, when moving under the influence of coils energized at a fixed rate along the curved track section, experiencing a finite jerk and/or a finite snap.
3. The system of claim 1 , wherein the curved track section has a radius of curvature that is proportional to the inverse of the square root of the run length along the curved track section.
4. The system of claim 1 , wherein the curved track section has a radius of curvature that is proportional to an inverse of a square of the run length along the curved track section.
5. The system of claim 1 , wherein the curved track section has a radius of curvature that is proportional to an inverse of an order of the run length along the curved track section higher than the square.
6. The system of claim 1 , wherein the curved track section comprises a plurality of radii of curvature, at least one of the radii of curvature having a non-constant radius of curvature that is a non-linear function of a run length along the curved track section.
7. The system of claim 1 , wherein the curved track section comprises an integral straight portion on at least one end thereof.
8. The system of claim 1 , wherein the curved track section comprises a portion having a constant radius of curvature.
9. The system of claim 1 , wherein the system comprises at least two different curved track sections that extend around different angular segments selected from the group consisting of approximately 22.5 degrees, or approximately 30 degrees, or approximately 45 degrees, or approximately 90 degrees, or approximately 180 degrees.
10. The system of claim 1 , wherein the curved track section comprises a plurality of curved portions of progressively increasing curvature each having non-constant radius of curvature that is a non-linear function of a run length.
11. The system of claim 1 , wherein the curved track section comprises a plurality of curved portions of progressively decreasing curvature each having non-constant radius of curvature that is a non-linear function of a run length.
12. A linear motor system comprising:
a modular curved track section positionable adjacent to other modular track sections to provide a continuous track, wherein the curved track section has a non-constant radius of curvature that is a non-linear function of a run length along the curved track section.
13. The system of claim 12 , wherein the curved track section has a radius of curvature that is proportional to the inverse of the square root of the run length along the curved track section.
14. The system of claim 12 , wherein the curved track section has a radius of curvature that is proportional to an inverse of a square of the run length along the curved track section.
15. The system of claim 12 , wherein the curved track section has a radius of curvature that is proportional to an inverse of an order of the run length along the curved track section higher than the square.
16. The system of claim 12 , wherein the curved track section comprises a plurality of radii of curvature, at least one of the radii of curvature having a non-constant radius of curvature that is a non-linear function of a run length along the curved track section.
17. A linear motor system comprising:
a permanent magnet mover configured to be displaced by a controlled magnetic field;
a modular straight track section;
a modular curved track section positionable adjacent to the modular straight track section to provide a continuous track;
wherein each track section comprises a plurality of coils energizable to create the controlled magnetic field for movement of the mover, and each track section is configured to support and guide the mover in movement along the track sections; and
control and driver circuitry coupled to the coils and configured to control energization of the coils to create the controlled magnetic field; and
wherein the curved track section has a curvature following a geometry that results in the mover, when moving under the influence of coils energized at a fixed rate along the curved track section, experiencing a finite jerk and/or a finite snap.
18. The system of claim 17 , wherein the curved track section has a radius of curvature that is proportional to the inverse of the square root of the run length along the curved track section.
19. The system of claim 17 , wherein the curved track section has a radius of curvature that is proportional to an inverse of a square or higher order of the run length along the curved track section.
20. The system of claim 17 , wherein the curved track section comprises a plurality of radii of curvature, at least one of the radii of curvature having a non-constant radius of curvature that is a non-linear function of a run length along the curved track section.