Magnetic resonance coupling arrangement
First Claim
1. A wireless power transfer system, comprising:
- a first resonator having a first resonant frequency ω
o1, a half power bandwidth Δ
ω
1, and an unloaded quality factor Qo1=ω
o1/Δ
ω
1 coupled through a first coupling circuit to a power source; and
a second resonator having a second resonant frequency ω
o2, a half power bandwidth Δ
ω
2, and an unloaded quality factor Qo2=ω
o2/Δ
ω
2 coupled through a second coupling circuit to a load, the first resonator disposed a distance away from the second resonator, wherein the distance is smaller than the first and second resonant wavelengths;
the first and second coupling circuits configured so that up to a maximum achievable power transfer efficiency between the first and second resonators can be achieved, wherein Qo1 and Qo2 can be less than 100, wherein the configuring of the first and second coupling circuits based on expressing transmission power from the first resonator to the second resonator as a function of external coupling with the source and external coupling with the load and determining partial derivatives of the transmission power with respect to the external couplings in order to find optimal external couplings and in order to find optimal characteristic impedance of the first and second coupling circuits,wherein the partial derivatives of the transmission power with respect to the external couplings are governed by;
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Accused Products
Abstract
A wireless power transfer system is disclosed. The system includes a first resonator having a first resonant frequency ωo1, a half power bandwidth Δω1, and an unloaded quality factor Qo1=ωo1/Δω1 coupled through a first coupling circuit to a power source, a second resonator having a second resonant frequency ωo2, a half power bandwidth Δω2, and an unloaded quality factor Qo2=ωo2/Δω2 coupled through a second coupling circuit to a load, the first resonator disposed a distance away from the second resonator, wherein the distance is smaller than the first and second resonant wavelengths, the first and second coupling circuits are configured so that up to a maximum achievable power transfer efficiency between the first and second resonators can be achieved, wherein Qo1 and Qo2 can be less than 100.
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Citations
8 Claims
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1. A wireless power transfer system, comprising:
-
a first resonator having a first resonant frequency ω
o1, a half power bandwidth Δ
ω
1, and an unloaded quality factor Qo1=ω
o1/Δ
ω
1 coupled through a first coupling circuit to a power source; anda second resonator having a second resonant frequency ω
o2, a half power bandwidth Δ
ω
2, and an unloaded quality factor Qo2=ω
o2/Δ
ω
2 coupled through a second coupling circuit to a load, the first resonator disposed a distance away from the second resonator, wherein the distance is smaller than the first and second resonant wavelengths;the first and second coupling circuits configured so that up to a maximum achievable power transfer efficiency between the first and second resonators can be achieved, wherein Qo1 and Qo2 can be less than 100, wherein the configuring of the first and second coupling circuits based on expressing transmission power from the first resonator to the second resonator as a function of external coupling with the source and external coupling with the load and determining partial derivatives of the transmission power with respect to the external couplings in order to find optimal external couplings and in order to find optimal characteristic impedance of the first and second coupling circuits, wherein the partial derivatives of the transmission power with respect to the external couplings are governed by; - View Dependent Claims (2, 3, 4, 8)
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5. A method of providing a maximum wireless power transfer efficiency between a first resonator and a second resonator, comprising:
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providing a first resonator having a first resonant frequency ω
o1, a half power bandwidth Δ
ω
1, and an unloaded quality factor Qo1=ω
o1/Δ
ω
1 coupled through a first coupling circuit to a power source;providing a second resonator having a second resonant frequency ω
o2, a half power bandwidth Δ
ω
2, and an unloaded quality factor Qo2=ω
o2/Δ
ω
2 coupled through a second coupling circuit to a load, the first resonator disposed a distance away from the second resonator, wherein the distance is smaller than the first and second resonant wavelengths;configuring the first and second coupling circuits so that up to a maximum power transfer efficiency between the first and second resonators can be achieved, wherein Qo1 and Qo2 can be less than 100, wherein the configuring of the first and second coupling circuits based on expressing transmission power from the first resonator to the second resonator as a function of external coupling with the source and external coupling with the load and determining partial derivatives of the transmission power with respect to the external couplings in order to find optimal external couplings in order to find optimal characteristic impedance of the first and second coupling circuits, wherein the partial derivatives of the transmission power with respect to the external couplings are governed by; - View Dependent Claims (6, 7)
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Specification