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1. A direct-current to direct-current (DC-DC) conversion circuit comprising: an input voltage; a single half-bridge circuit connected to the input voltage and including: a first leg with first, second, third, and fourth switching elements connected in series with each other; a second leg with first and second capacitors connected in series with each other and connected in parallel with the first leg; and a single flying capacitor connected to a node between the first switching element and the second switching element and connected to a node between the third switching element and the fourth switching element; a transformer including a primary winding connected to the single half-bridge circuit and including a secondary winding connected to a secondary circuit; and a controller that controls the first, the second, the third, and the fourth switching elements, wherein the controller selectively controls the single half-bridge circuit in: half-bridge operation in which ±Vin/2 is applied to the primary winding, where Vin is the input voltage; and 3-level half-bridge operation in which ±Vin/4 is applied to the primary winding.
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