The invention consists of a system for converting wind energy (SCEE) into mechanical and then electrical energy. This system (SCEE) is not subject to the theoretical Betz limit (59%). The system (SCEE) has a wheel (F) equipped with a series of blades arranged all around it. The wheel (F) turns in a pivoting connection about a fixed axle (L). Set on the axle (L), a support (E) attaches the end plates of a series of double-acting actuating cylinders (D). The cylinder rods of the latter are in a ball jointed connection with the body (A), the purpose of this being to offer the latter a maximum degree of freedom in space. A rigid arm (C) is set on one side of the wheel (F) and held on the other side, in a pivoting connection, on a U‑shaped section piece (B). Having a circular satellite movement, the latter turns with the wheel (F) while at the same time sliding over a peripheral region of the body (A). When the wind blows against the body (A), the latter pivots with the section piece (B) and pushes on the cylinder rods of the actuating cylinders (D). Having a circular satellite movement, the section piece (B) turns, sliding over a peripheral region of the body (A), thus changing the fulcrum of the moment of the resultant force of the wind (the pivot connection of the section piece (B)) applied to the body (A). The cylinder rods of the actuating cylinders (D) will therefore be pulled and pushed, while at the same time having a cyclic translational movement. Set on the axle (L), and a nacelle (J) chiefly contains a hydraulic motor (H) and an electric generator (G), which can be coupled via a speed multiplier. During the reciprocating movements of the pistons of the actuating cylinders (D), a set of valves allows for a one-way flow of hydraulic fluid inside "out and back" hydraulic circuits either by pulling or pushing. The "out and back" hydraulic circuits are also connected to the hydraulic motor (H). To keep the system (SCEE) always facing into the wind and allow it to pivot on the mast (1), it can be orientated by a tail vane (K) which is fixed, via a support, to the nacelle (J).