The invention relates to a synchronous power controller for a generation system based on static power converters, said controller comprising two main blocks referred to as: block 1 (electric block) (10) and block 2 (electromechanical block) (20), electric block 1 (10) being, in turn, formed by a virtual electrical characteristic controller (11) and a virtual admittance controller (12) and the electromechanical block 2 (20) being formed by a virtual electromechanical characteristic controller (21) and an inertia and damping factor controller (22).