Transformer resonant converter

1. A resonant converter circuit comprising:

a DC input providing an input voltage V in ;

a plurality of solid state switches electrically coupled with the DC input;

a transformer coupled with the plurality of solid state switches comprising:

a transformer core,

a primary side comprising a conductive sheet wrapped at least around a portion of the transformer core, the conductive sheet electrically coupled with the plurality of solid state switches;

a secondary side comprising a plurality of secondary windings wrapped at least around a portion of the transformer core,

a transformer stray inductance, L s ,

a transformer stray capacitance, C s , and a turn ratio, n;

a resistor with a resistance, R, disposed in series between the conductive sheet of the transformer and the plurality of solid state switches;

a plurality of rectifier diodes coupled with the plurality of secondary windings; and

a circuit output coupled with the plurality of rectifier diodes;

wherein the resonant converter circuit produces a Q factor according to

Q

=

1

R

⁢

L

s

C

s

;

and

wherein the resonant converter circuit produces output pulses at the circuit output with an output voltage V out from the input voltage Vi in according to V out =QnV in ;

wherein the output pulses have a voltage greater than about 10 kV and the output pulses have a frequency greater than 25 kHz; and

wherein the transformer stray capacitance C s comprises more than 50% of a total capacitance C of the resonant converter circuit.

2. The resonant converter circuit according to claim 1 , wherein a resonant frequency is greater than 100 kHz.

3. The resonant converter circuit according to claim 1 , wherein the output pulses have an output power greater than 5 kW.

4. The resonant converter circuit according to claim 1 , wherein the output pulses have an output power greater than 50 kW.

5. The resonant converter circuit according to claim 1 , wherein the resonant converter circuit has a switching transition time less than 40 ns.

6. The resonant converter circuit according to claim 1 , wherein the resonant converter circuit has a total circuit inductance less than about 300 nH as measured on the primary side of the transformer.

7. The resonant converter circuit according to claim 1 , wherein the resonant converter circuit operates with a total circuit capacitance of less than about 100 pF as measured on the secondary side of the transformer.

8. The resonant converter circuit according to claim 1 , wherein the output pulses have a rise time, with a voltage slew rate greater than 10 9 V/s.

9. The resonant converter circuit according to claim 1 , wherein the resonant converter circuit has a power density greater than 1 W/cm 3 .

10. A resonant converter circuit comprising: a DC input providing an input voltage Vin; a plurality of solid state switches electrically coupled with the DC input; a transformer coupled with the plurality of solid state switches, the transformer having: a transformer core; a conductive sheet wrapped at least around a portion of the transformer core; a plurality of secondary windings wrapped at least around a portion of the transformer core; a stray inductance, Ls, wherein the stray inductance, Ls, is not from an inductor; a stray capacitance, Cs, wherein the stray capacitance, Cs, is not from a capacitor; and a resistor with a resistance, R, in series with the transformer; wherein the resonant converter circuit produces a Q factor according

Q

=

1

R

⁢

L

s

C

s

;

wherein an output pulses have a voltage greater than about 10 kV and the output pulses have a frequency greater than 25 kHz; and wherein the stray inductance Ls comprises more than 50% of a total circuit inductance of the resonant converter circuit.

11. The resonant converter circuit according to claim 10 , wherein the transformer has a turn ratio n and the resonant converter circuit produces an output voltage, V out , from an input voltage V in , according to V out =QnV in .

12. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit produces a pulse with a voltage greater than about 10 kV.

13. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit operates at a resonant frequency greater than 0.1 MHz.

14. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit produces pulses with a switching transition time less than 40 ns.

15. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit has the total circuit inductance less than about 300 nH as measured on a primary side of the transformer.

16. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit operates with a total circuit capacitance less than about 100 pF as measured on a secondary side of the transformer.

17. The resonant converter circuit according to claim 10 , wherein the output pulses have a rise time, with a voltage slew rate greater than 10 9 V/s.

18. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit produces output pulses with a power density greater than 1 W/cm 3 .

19. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit does not include an inductor.

20. The resonant converter circuit according to claim 10 , wherein the resonant converter circuit does not include a capacitor.

21. The resonant converter circuit according to claim 10 , wherein a ratio between a peak output power and an average output power is greater than a factor of 10.

22. The resonant converter circuit according to claim 10 , wherein output pulses have a rise time with a voltage slew rate greater than 10 9 V/s.