Control of piston trajectory in a linear generator
Various embodiments of the present disclosure are directed towards free-piston combustion engines. As described herein, a method and system are provided for displacing a free-piston assembly to achieve a desired engine performance by repeatedly determining position-force trajectories over the course of a propagation path and effecting the displacement of the free-piston assembly based, at least in part, on the position-force trajectory. In a dual-piston assembly free-piston engine, synchronization of the two piston assemblies is provided.
1. A method performed by a programmed computer system for controlling displacement of opposed free-piston assemblies, the method comprising:
determining, using a control system, a first position-force trajectory for a first free-piston assembly of the opposed free-piston assemblies;
determining, using the control system, a second position-force trajectory for a second free-piston assembly of the opposed free-piston assemblies;
calculating a first synchronization force for the first free-piston assembly;
calculating a second synchronization force for the second free-piston assembly; and
effecting displacement of the first free-piston assembly and the second free-piston assembly based on the first position-force trajectory, the second position-force trajectory, the first synchronization force, and the second synchronization force.
2. The method of claim 1 , wherein the first free-piston assembly and the second free-piston assembly cycle between respective apices defining two strokes, the method further comprising:
producing net electrical energy output over both of the two strokes using a linear electromagnetic machine.
3. The method of claim 1 , wherein effecting displacement of the first free-piston assembly and the second free-piston assembly comprises regulating a difference between a position of the first free-piston assembly and a position of the second free-piston assembly.
4. The method of claim 1 , wherein effecting displacement of the first free-piston assembly and the second free-piston assembly comprises synchronizing apices of the first free-piston assembly with apices of the second free piston assembly.
5. The method of claim 1 , wherein the first synchronization force and the second synchronization force are opposite forces.
6. The method of claim 1 , wherein:
a) the first position-force trajectory comprises a force to apply to the first free-piston assembly based on a current position of the first free-piston assembly and a target position without regard to a deviation from a previously determined trajectory;
b) cause the force to be applied to the first free-piston assembly for a first time interval; and
c) repeating a) and b) until the first free-piston assembly reaches at least one of the target position or an apex position.
7. The method of claim 6 , wherein the target position comprises a desired apex position.
8. The method of claim 6 , wherein a) comprises determining the force based at least in part on an estimated pressure in a compression section in contact with the first free-piston assembly.
9. The method of claim 6 , further comprising:
d) determining a new target position of the first free-piston assembly;
e) determining a new force to apply to the first free-piston assembly based on a new current position of the first free-piston assembly and the new target position; and
f) causing the new force to be applied to the first free-piston assembly for a second time interval.
10. The method of claim 6 , further comprising:
d) determining a new force to apply to the first free-piston assembly based on a new current position of the first free-piston assembly and the target position; and
e) determining not to apply the new force to the first free-piston assembly for a second time interval if the current position is outside of a cut-off position threshold.
11. A system comprising:
a first free-piston assembly;
a second free-piston assembly opposite the first free-piston assembly; and
a control system configured to:
determine a first position-force trajectory for the first free-piston assembly,
determine a second position-force trajectory for the second free-piston assembly,
calculate a first synchronization force for the first free-piston assembly,
calculate a second synchronization force for the second free-piston assembly, and
effect displacement of the first free-piston assembly and the second free-piston assembly based on the first position-force trajectory, the second position-force trajectory, the first synchronization force, and the second synchronization force.
12. The system of claim 11 , wherein:
the first free-piston assembly and the second free-piston assembly cycle between respective apices defining two strokes; and
the control system is configured to cause net electrical energy output over both of the two strokes using a linear electromagnetic machine.
13. The system of claim 11 , wherein the control system is configured to effect the displacement of the first free-piston assembly and the second free-piston assembly by regulating a difference between a position of the first free-piston assembly and a position of the second free-piston assembly.
14. The system of claim 11 , wherein the control system is configured to effect the displacement of the first free-piston assembly and the second free-piston assembly by synchronizing apices of the first free-piston assembly with apices of the second free piston assembly.
15. The system of claim 11 , wherein the first synchronization force and the second synchronization force are opposite forces.
16. The system of claim 11 , wherein
the control system is further configured to:
a) determine the first position-force trajectory by determining a force to apply to the first free-piston assembly based on a current position of the first free-piston assembly and a target position without regard to a deviation from a previously determined trajectory;
b) cause the force to be applied to the first free-piston assembly for a first time interval; and
c) repeat a) and b) until the first free-piston assembly reaches at least one of the target position or an apex position.
17. The system of claim 16 , wherein the target position comprises a desired apex position.
18. The system of claim 16 , wherein the control system is further configured to repeat a) and b) by:
repeatedly determining a new force to apply to the first free-piston assembly based on a new current position of the first free-piston assembly and the target position; and
repeatedly causing the new force to be applied to the first free-piston assembly for respective time interval.
19. The system of claim 16 , wherein the control system is further configured to:
d) determine a new target position of the first free-piston assembly;
e) determine a new force to apply to the first free-piston assembly based on a new current position of the first free-piston assembly and the new target position; and
f) cause the new force to be applied to the first free-piston assembly for a second time interval.
20. The system of claim 16 , wherein the control system is further configured to:
d) determine new a force to apply to the first free-piston assembly based on a new current position of the first free-piston assembly and the target position; and
e) determine not to apply the new force to the first free-piston assembly for a second time interval if the current position is outside of a cut-off position threshold.