System and methods for reducing the operating temperature of a solid state pumping system for lifting liquids from a wellbore, the pumping system utilizing a solid state electrical actuator system, the cooling systems and methods including a heat sink for cooling the solid state actuator, the heat sink comprising at least one of; (i) a dielectric oil bath, (ii) a thermoelectric cooling element, (iii) an aperture within the at least one solid state actuator for conveying a cooling fluid through the aperture, and (iv) combinations thereof; and an electrical power source for powering the solid state pump.