A system and methods for reducing the operating temperature of a solid state pumping system for lifting liquids from a wellbore. The pumping system and methods 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. The pumping system including and an electrical power source for powering the solid state pump.