This disclosure has described a system for charging a capacitive energy storage device of at least one memory cell within an integrated circuit device from an initial voltage to a final voltage, wherein the integrated circuit device includes a plurality of memory cells which are formed at least in part by capacitive energy storage devices. During operation, the system charges the capacitive energy storage device from the initial voltage to the final voltage stepwise through one or more progressively higher intermediate voltage levels using one or more voltage sources. Specifically, each intermediate voltage level is between the initial voltage and the final voltage, and each voltage source generates a respective intermediate voltage level. Note that charging the capacitive energy storage device through one or more intermediate voltage levels reduces energy dissipation during the charging process.