Controlling charge-balance and transients in a multi-level power converter

Circuits and methods that more effectively and efficiently solving the charge-balance problem for multi-level converter circuits by establishing a control method that selects an essentially optimal pattern or set of switch states that moves the fly capacitors towards a charge-balance state or maintains the current charge state every time a voltage level at an output node is selected regardless of what switch state or states were used in the past. Accordingly, multi-level converter circuit embodiments of the invention are free to select a different switch state or output voltage level every switching cycle without needing to keep track of any prior switch state or sequence of switch states. Additional benefits include improved transient performance made possible by the novel charge-balance method.