Planar spiral induction coil having increased quality (Q)-factor and method for designing planar spiral induction coil

1. A planar spiral induction coil comprising:

a strip-shaped coil having at least one turn, the at least one turn having a width that changes as a distance from a beginning of the strip-shaped coil increases in a length direction of the strip-shaped coil,

wherein each turn of the at least one turn has a respective width that causes an equal current to flow through each turn of the at least one turn, and

wherein a shape of each turn of the at least one turn is a torus having a rectangular portion connecting between turns having different widths.

2. The planar spiral induction coil of claim 1 , wherein a number of turns of the at least one turn is 1 to 20 turns.

3. The planar spiral induction coil of claim 1 , wherein each turn of the at least one turn has constant geometric dimensions.

4. The planar spiral induction coil of claim 1 , wherein an amount of current flowing through each turn of the at least one turn is proportional to a ratio of a total amount of current flowing through the planar spiral induction coil to a number of turns of the at least one turn.

5. The planar spiral induction coil of claim 1 , wherein the shape of each turn of the at least one turn is a torus having a rectangular portion connected to a next turn of the at least one turn, and wherein the width of each turn of the at least one turn is different than the width of the next turn.

6. A wireless power transmitter comprising:

a source resonator configured to transmit wireless power to a wireless power receiver via resonance with a target resonator of the wireless power receiver, and comprising a planar spiral induction coil, the planar spiral induction coil comprising a strip-shaped coil having at least one turn, the at least one turn having a width that changes as a distance from a beginning of the strip-shaped coil increases in a length direction of the strip-shaped coil; and

a power supply configured to supply power to the source resonator,

wherein each turn of the at least one turn has a respective width that causes an equal current to flow through each turn of the at least one turn, and

wherein a shape of each turn of the at least one turn is a torus having a rectangular portion connecting between turns having different widths.

7. A wireless power receiver comprising:

a target resonator configured to receive wireless power from a wireless power transmitter via resonance with a source resonator of the wireless power transmitter, and comprising a planar spiral induction coil, the planar spiral induction coil comprising a strip-shaped coil having at least one turn, the at least one turn having a width that changes as a distance from a beginning of the strip-shaped coil increases in a length direction of the strip-shaped coil; and

a load configured to receive power from the target resonator,

wherein each turn of the at least one turn has a respective width that causes an equal current to flow through each turn of the at least one turn, and

wherein a shape of each turn of the at least one turn is a torus having a rectangular portion connecting between turns having different widths.

8. A method of designing a planar spiral induction coil, the method comprising:

setting a number of turns of at least one turn in a strip-shaped coil included in the planar spiral induction coil, the at least one turn having a width that changes as a distance from a beginning of the strip-shaped coil increases in a length direction of the strip-shaped coil; and

determining a respective width of each turn of the at least one turn so that an equal current flows through each turn of the at least one turn and,

wherein a shape of each turn of the at least one turn is a torus having a rectangular portion connecting between turns having different widths.

9. The method of claim 8 , further comprising setting a distance between adjacent turns of the at least one turn.

10. The method of claim 8 , wherein the setting of the number of turns of the at least one turn comprises setting the number of turns of the at least one turn within a range of 1 turn to 20 turns.

11. The method of claim 8 , wherein each turn of the at least one turn has constant geometric dimensions.

12. The method of claim 8 , wherein the determining of the respective width of each turn of the at least one turn comprises:

acquiring information on a current flowing through a single turn having a same width as the planar spiral induction coil;

splitting the single turn into a plurality of domains corresponding to the at least one turn based on the set number of turns of the at least one turn;

setting respective widths of the plurality of domains so that an equal current flows through each domain of the plurality of domains; and

setting the respective width of each turn of the at least one turn to the respective width of a corresponding domain of the plurality of domains.

13. The method of claim 8 , wherein an amount of current flowing through each turn of the at least one turn is proportional to a ratio of a total amount of current flowing through the planar spiral induction coil to the set number of turns of the at least one turn.

14. A non-transitory computer-readable storage medium storing instruction that, when executed by a processor, cause the processor to perform the method of claim 8 .

15. A planar spiral induction coil comprising:

a planar coil having at least one turn,

wherein each turn of the at least one turn has a respective width that is different from a respective width of every other turn of the at least one turn and causes an equal current to flow through each turn of the at least one turn, and

wherein a shape of each turn of the at least one turn is a torus having a rectangular portion connecting between turns having different widths.

16. The planar spiral induction coil of claim 15 , wherein a respective width of each turn of the at least one turn increases from an innermost turn of the at least one turn to an outermost turn of the least one turn.

17. The planar spiral induction coil of claim 15 , wherein each turn of the at least one turn has constant geometric dimensions.

18. The planar spiral induction coil of claim 17 , wherein the constant geometric dimensions of each turn are different from the constant geometric dimensions of every other turn of the at least one turn.

19. The planar spiral induction coil of claim 15 , wherein the rectangular portion of the torus of the shape of each turn of the at least one turn is different from the rectangular portion of the torus of the shape of every other turn of the at least one turn.