Method and system for wireless power delivery

1. A method for wireless power transmission from a transmitter comprising a plurality of transmission elements, the method comprising performing a stochastic global search, in a configuration parameter space, based on an objective function associated with a receiver, comprising, for each of a plurality of test configurations in the configuration parameter space, evaluating the objective function at the test configuration, wherein evaluating the objective function at the test configuration comprises:

at the transmitter, configuring the plurality of transmission elements based on the test configuration;

at the transmitter, wirelessly transmitting power while the plurality of transmission elements is configured based on the test configuration;

at the receiver, receiving power while the plurality of transmission elements is configured based on the test configuration;

based on the power received at the receiver while the plurality of transmission elements is configured based on the test configuration, determining a power reception metric; and

determining a value of the objective function at the test configuration based on the power reception metric.

2. The method of claim 1 , further comprising, at the transmitter, determining that the receiver is in transmission range of the transmitter, wherein the stochastic global search is performed in response to determining that the receiver is in transmission range of the transmitter.

3. The method of claim 2 , wherein:

the transmitter further comprises a first wireless communication module;

the receiver further comprises a second wireless communication module; and

determining that the receiver is in transmission range of the transmitter comprises establishing wireless communication between the first and second wireless communication modules.

4. The method of claim 1 , further comprising:

based on the stochastic global search, selecting a selected configuration from the plurality of test configurations; and

in response to selecting the selected configuration, at the transmitter:

configuring the plurality of transmission elements based on the selected configuration; and

wirelessly transmitting power to the receiver while the plurality of transmission elements is configured based on the selected transmission configuration.

5. The method of claim 4 , wherein, for each test configuration of the plurality, evaluating the objective function at the test configuration further comprises:

at a second receiver, receiving power while the plurality of transmission elements is configured based on the test configuration, wherein the objective function is further associated with the second receiver; and

based on the power received at the second receiver while the plurality of transmission elements is configured based on the test configuration, determining a second power reception metric, wherein the value of the objective function is determined based further on the second power reception metric.

6. The method of claim 5 , wherein the objective function is equal to w 1 f 1 +P 1 (|f 1 −f 1 *|)+w 2 f 2 +P 2 (|f 2 −f 2 *|), wherein w 1 is a receiver weighting associated with the receiver, f 1 is the power reception metric, f 1 * is a maximum power reception metric estimated to be achievable at the receiver, P 1 is a penalty function associated with the receiver, w 2 is a second receiver weighting associated with the second receiver, f 2 is the second power reception metric, f 2 * is a second maximum power reception metric estimated to be achievable at the second receiver, and P 2 is a second penalty function associated with the second receiver.

7. The method of claim 5 , further comprising:

for each test configuration of the plurality, storing information associated with the power reception metric;

while the plurality of transmission elements is configured based on the selected transmission configuration, determining that the second receiver is not in transmission range of the transmitter;

in response to determining that the second receiver is not in transmission range of the transmitter, determining a second configuration, in the configuration parameter space, based on the information and based on an alternate objective function associated with the receiver and not with the second receiver; and

in response to determining the second configuration, at the transmitter:

configuring the plurality of transmission elements based on the second configuration; and

wirelessly transmitting power to the receiver while the plurality of transmission elements is configured based on the second transmission configuration.

8. The method of claim 7 , wherein the plurality of test configurations comprises the second configuration.

9. The method of claim 7 , wherein:

the plurality of test configurations does not comprise the second configuration; and

determining the second configuration comprises:

selecting, from the plurality of test configurations, a seed configuration; and

performing a second optimum search, in the configuration parameter space, based on the alternate objective function and the seed configuration.

10. The method of claim 4 , wherein:

the values determined while performing the stochastic global search define a set of values; and

the selected configuration is selected such that the selected configuration is associated with an extremal value of the set of values, wherein the extremal value is either greater than every other value of the set of values or less than every other value of the set of values.

11. The method of claim 4 , further comprising:

while the plurality of transmission elements is configured based on the selected transmission configuration, determining that power reception at the receiver has reduced;

in response to determining that power reception at the receiver has reduced, performing a local optimum search, around the selected transmission configuration in the configuration parameter space, based on the objective function; and

based on the local optimum search, determining a neighboring configuration.

12. The method of claim 11 , further comprising, for each test configuration of the plurality, storing information associated with the power reception metric; wherein the local optimum search is performed based on the information.

13. The method of claim 11 , further comprising:

determining that the value of the objective function at the neighboring configuration is less than a threshold value;

in response to determining that the value of the objective function at the neighboring configuration is less than the threshold value, performing a second global search, in the configuration parameter space, based on the objective function;

based on the second global search, selecting a second configuration; and

in response to selecting the second configuration, at the transmitter:

configuring the plurality of transmission elements based on the second configuration; and

wirelessly transmitting power to the receiver while the plurality of transmission elements is configured based on the second transmission configuration.

14. The method of claim 1 , wherein the configuration parameter space comprises, for each transmission element of the plurality, a respective configuration parameter.

15. The method of claim 14 , wherein:

the plurality of transmission elements define a phased antenna array; and

for each transmission element of the plurality, the respective configuration parameter is a respective phase parameter.

16. The method of claim 14 , wherein the configuration parameter space further comprises a receiver configuration parameter.

17. A method for wireless power transmission from a transmitter comprising a plurality of transmission elements, the method comprising performing a local optimum search based on an objective function associated with a receiver, comprising, for each of a plurality of test configurations, evaluating the objective function at the test configuration, wherein evaluating the objective function at the test configuration comprises:

at the transmitter, configuring the plurality of transmission elements based on the test configuration;

at the transmitter, wirelessly transmitting power while the plurality of transmission elements is configured based on the test configuration;

at the receiver, receiving power while the plurality of transmission elements is configured based on the test configuration;

based on the power received at the receiver while the plurality of transmission elements is configured based on the test configuration, determining a power reception metric; and

determining a value of the objective function at the test configuration based on the power reception metric.

18. The method of claim 17 , wherein performing the local optimum search comprises implementing a gradient-free local search algorithm.

19. The method of claim 17 , further comprising, in response to performing the local optimum search:

performing a global optimum search, in the configuration parameter space, based on the objective function, comprising, for each of a second plurality of test configurations, evaluating the objective function at the test configuration;

based on the global optimum search, selecting a selected configuration from a set of test configurations, the set of test configurations consisting of:

the test configurations of the plurality of test configurations; and

the test configurations of the second plurality of test configurations; and

in response to selecting the selected configuration, at the transmitter:

configuring the plurality of transmission elements based on the selected configuration; and

wirelessly transmitting power to the receiver while the plurality of transmission elements is configured based on the selected transmission configuration.

20. The method of claim 19 , wherein the global optimum search is a stochastic global optimum search.

21. The method of claim 17 , wherein, for each test configuration of the plurality, evaluating the objective function at the test configuration further comprises:

at a second receiver, receiving power while the plurality of transmission elements is configured based on the test configuration, wherein the objective function is further associated with the second receiver; and

based on the power received at the second receiver while the plurality of transmission elements is configured based on the test configuration, determining a second power reception metric, wherein the value of the objective function is determined based further on the second power reception metric.

22. The method of claim 21 , further comprising:

for each test configuration of the plurality, storing information associated with the second power reception metric;

based on the local optimum search, selecting a selected configuration from the plurality of test configurations;

in response to selecting the selected configuration, at the transmitter:

configuring the plurality of transmission elements based on the selected configuration; and

wirelessly transmitting power to the receiver and the second receiver while the plurality of transmission elements is configured based on the selected transmission configuration;

after selecting the selected configuration, determining a priority reduction associated with the receiver;

based on the information and a second objective function associated with the second receiver, determining an alternate configuration; and

in response to determining the priority reduction, at the transmitter, after wirelessly transmitting power to the receiver and the second receiver while the plurality of transmission elements is configured based on the selected transmission configuration:

configuring the plurality of transmission elements based on the alternate configuration; and

wirelessly transmitting power to the second receiver while the plurality of transmission elements is configured based on the second transmission configuration.