Convertor for converting into electrical energy the mechanical energy developed by a thermal piston motor operating along the Stirling thermodynamic cycle, comprising a hermetically sealed enclosure under pressure deprived of mechanical connection to the outside, said hermetically sealed enclosure enclosing a displacing piston guided thereby to induce therein pressure variations due to piston movements, a drive piston also guided thereby and having a face on which said pressure variations are directly exerted without recourse to physical transmission between said pistons, a linear electric generator having a movable magnetic component, and a positive mechanical transmission between said drive piston and said movable magnetic component whereby said magnetic component positively follows up said drive piston and in return any electric control affecting said magnetic component inherently reflects fully on said drive piston for achieving an overall control of the magnetic component and drive piston assembly.