Circuits and methods are provided for using a switching voltage converter to convert an input voltage into an output voltage. The voltage converter includes multiple switch stages, and the switch stages are coupled to each other both galvanically and magnetically. Power is transferred among the switch stages magnetically via magnetic coupling elements (e.g., transformer windings) that are coupled to each of the switch stages. The magnetic power transfer allows the voltage converter to support high power transfers, while the galvanic connections between the switch stages allows for relatively simple control of switches within the switch stages. Inductances associated with the magnetic coupling elements, may provide zero-voltage switching (ZVS) of the switches. Due to the simple switch control, magnetic power transfer, and ZVS, the provided voltage converters support relatively high power transfers in an efficient manner.