Pressure in subsea systems, and accumulators of the subsea systems, may be increased through the use of a supercharge cylinder to generate higher pressures from an initial pressure provided from a surface vessel. The supercharge cylinder may include a piston that can be stroked to increase pressure stored in accumulators located near subsea systems, such as a blowout preventer (BOP). The increased pressure provided by the supercharge cylinder may allow the same number of accumulators to be used in the subsea system but allow additional effective hydraulic fluid to be stored in the accumulators.