A progressing cavity pump system including a rotor and a stator having an inner cavity. The rotor is rotationally disposed inside the inner cavity of the stator such that rotation of the rotor relative to the stator causes material in the inner cavity to be pumped therethrough. The pump system further includes a universal joint directly or indirectly rotationally coupled to the rotor, and a cooling system thermally coupled to the universal joint and configured to cool the universal joint by active heat exchange at a position remote from the universal joint.