Methods and circuits for power supply arrangement and control are disclosed herein. In one embodiment, a power supply can include: (i) an input capacitor coupled to an input terminal that is coupled to a power source, where the power source provides power that is constrained by a predetermined limit; (ii) an output capacitor coupled to an output terminal that is coupled to a load, where the load has a first load condition or a second load condition; (iii) a first regulator to convert an input voltage at the input terminal to an output voltage at the output terminal to power the load; (iv) a second regulator coupled to the first regulator; and (v) an energy storage element coupled to the second regulator, where the second regulator delivers energy from the energy storage element to the first regulator to maintain regulation of an output voltage at the output terminal when in the second load condition.