Methods and systems for multi-objective optimization and/or wireless power delivery
First Claim
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1. A method for wireless power transmission from a transmitter to a plurality of receivers, the method comprising:
- receiving a set of initial points in a transmission parameter space, wherein;
each point in the transmission parameter space corresponds to a respective transmission configuration of the transmitter;
a set of objective functions map from the transmission parameter space to an objective space, wherein each receiver of the plurality is associated with a different objective function of the set; and
the objective space defines a Pareto front in the objective space, wherein each point on the Pareto front is Pareto-optimal with respect to the set of objective functions;
determining a first set of Pareto points based on the set of initial points, wherein;
each Pareto point of the first set is substantially on the Pareto front; and
determining the first set of Pareto points comprises;
for each initial point, determining, based on the initial point, a corresponding Pareto point of the first set, wherein determining the corresponding Pareto point comprises evaluating each objective function based on the corresponding Pareto point;
determining a set of intermediary points, comprising, for each Pareto point of the first set, determining a respective set of points based on the Pareto point, wherein the set of intermediary points comprises each respective set of points;
determining a second set of Pareto points based on the set of intermediary points, wherein;
each Pareto point of the second set is substantially on the Pareto front; and
determining the second set of Pareto points comprises;
for each intermediary point, determining, based on the intermediary point, a corresponding Pareto point of the second set, wherein determining the corresponding Pareto point comprises evaluating each objective function based on the corresponding Pareto point;
based on the first and second sets of Pareto points, selecting a selected Pareto point; and
at the transmitter, wirelessly transmitting power to the plurality of receivers based on the selected Pareto point.
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Abstract
A method for multi-objective optimization, preferably including: evaluating objective functions at a point, determining a plurality of initial points, and/or determining a final point. A method for wireless power delivery, preferably including performing the method for multi-objective optimization to optimize wireless power delivery. A system for multi-objective optimization, preferably including one or more computation modules and one or more objective function evaluation modules, such as one or more wireless power transmitters and/or receivers.
93 Citations
20 Claims
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1. A method for wireless power transmission from a transmitter to a plurality of receivers, the method comprising:
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receiving a set of initial points in a transmission parameter space, wherein; each point in the transmission parameter space corresponds to a respective transmission configuration of the transmitter; a set of objective functions map from the transmission parameter space to an objective space, wherein each receiver of the plurality is associated with a different objective function of the set; and the objective space defines a Pareto front in the objective space, wherein each point on the Pareto front is Pareto-optimal with respect to the set of objective functions; determining a first set of Pareto points based on the set of initial points, wherein; each Pareto point of the first set is substantially on the Pareto front; and determining the first set of Pareto points comprises;
for each initial point, determining, based on the initial point, a corresponding Pareto point of the first set, wherein determining the corresponding Pareto point comprises evaluating each objective function based on the corresponding Pareto point;determining a set of intermediary points, comprising, for each Pareto point of the first set, determining a respective set of points based on the Pareto point, wherein the set of intermediary points comprises each respective set of points; determining a second set of Pareto points based on the set of intermediary points, wherein; each Pareto point of the second set is substantially on the Pareto front; and determining the second set of Pareto points comprises;
for each intermediary point, determining, based on the intermediary point, a corresponding Pareto point of the second set, wherein determining the corresponding Pareto point comprises evaluating each objective function based on the corresponding Pareto point;based on the first and second sets of Pareto points, selecting a selected Pareto point; and at the transmitter, wirelessly transmitting power to the plurality of receivers based on the selected Pareto point. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A method for wireless power transmission from a transmitter to a plurality of receivers, the method comprising:
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a) receiving an initial point in a transmission parameter space, wherein; each point in the transmission parameter space corresponds to a respective transmission configuration of the transmitter; a set of objective functions map from the transmission parameter space to an objective space, wherein each receiver of the plurality is associated with a different objective function of the set; and the objective space defines a Pareto front, wherein each point on the Pareto front is Pareto-optimal with respect to the set of objective functions; b) determining an updated point based on the initial point and the set of objective functions, comprising; for each objective function of the set, determining a respective ascent direction in the transmission parameter space, comprising performing a local optimum search around the initial point based on the objective function; determining a total ascent direction based on a linear combination of the respective ascent directions; and performing a line search along a line in the transmission parameter space, comprising evaluating the set of objective functions at a plurality of test points, wherein; the line propagates from the initial point along the total ascent direction; the line comprises the updated point and the plurality of test points; and the updated point Pareto-dominates each test point of the plurality; c) based on the updated point, determining a Pareto point substantially on the Pareto front; and d) at the transmitter, wirelessly transmitting power to the plurality of receivers based on the Pareto point. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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Specification