A linear electrodynamic-type motor, for compressing a fluid circulating in a cryocooler notably using a Stirling cycle, includes a translationally movable induction coil; a power-supply circuit adapted to deliver, to at least one induction coil, an AC power-supply current; a movable mass adopting a translational movement; an induction coil arranged so as to move a respective movable mass between a first position and a second position where the movable mass can compress the fluid; and a secondary circuit arranged to connect the terminals of at least one induction coil in short-circuit. The secondary circuit comprises a compensation component for producing a phase shift between the power-supply voltage and the power-supply current, so as to reduce the phase difference that the inductance of the induction coil produces.