Energy conversion plant suitable for interacting with sea water, - said sea water defining an undulating wave comprising a plurality of wave crests and wavebands, and said plant comprising: - an actuator operatively interacting with said sea water, defining a movement axis and which is able to be moved along said movement axis proportionally to said wave motion of said sea water, - operating supply means connected to said actuator, at least partly integral with said actuator and comprising at least one electromagnetic actuator including a cursor structurally connected and integral with said actuator and a fixed station labially connected to said cursor, - an electrical network able to operatively connect said supply means to at least one external electrical apparatus, - a support structure adapted to connect a breakwater structure to said supply means and comprising a frame adapted to allow the structural support of at least part of the components of said system and a support shaft easily constrained to said frame and adapted to constrain said fixed station so that said fixed station is integral with said support shaft, - said electromagnetic actuator creating electrical energy due to the effect of electromagnetic induction when said cursor and said fixed station are reciprocally moved. and said plant being characterised by further comprising - storage means able to operatively connect said frame and said support shaft and including a mechanical connection defining a hinge adapted to allow the reciprocal movement of said frame and said support shaft around an axis, a storage device suitable for reacting to the relative displacements between said support shaft and said frame in such a way as to generate electrical energy proportionally to said displacements and an electrical connection adapted to connect said storage devices to a choice between said electrical network and said external electrical apparatuses. - said sea water defining an undulating wave comprising a plurality of wave crests and wavebands, - an actuator operatively interacting with said sea water, defining a movement axis and which is able to be moved along said movement axis proportionally to said wave motion of said sea water, - operating supply means connected to said actuator, at least partly integral with said actuator and comprising at least one electromagnetic actuator including a cursor structurally connected and integral with said actuator and a fixed station labially connected to said cursor, - an electrical network able to operatively connect said supply means to at least one external electrical apparatus, - a support structure adapted to connect a breakwater structure to said supply means and comprising a frame adapted to allow the structural support of at least part of the components of said system and a support shaft easily constrained to said frame and adapted to constrain said fixed station so that said fixed station is integral with said support shaft, - said electromagnetic actuator creating electrical energy due to the effect of electromagnetic induction when said cursor and said fixed station are reciprocally moved. - storage means able to operatively connect said frame and said support shaft and including a mechanical connection defining a hinge adapted to allow the reciprocal movement of said frame and said support shaft around an axis, a storage device suitable for reacting to the relative displacements between said support shaft and said frame in such a way as to generate electrical energy proportionally to said displacements and an electrical connection adapted to connect said storage devices to a choice between said electrical network and said external electrical apparatuses.