Power production in a completed well using magnetostrictive materials

A device for generating electrical energy from mechanical motion, the device comprising:

• a magnetostrictive generator configured to be mechanically coupled to a power conveyance path in a well bore, wherein the power conveyance path is configured to experience an axial force change, and wherein the magnetostrictive generator comprises at least one magnetostrictive element that experiences a corresponding force change that results in a change in magnetic permeability in the at least one magnetostrictive element resulting, and is configured to experience a change in magnetic flux in a least one component that is electromagnetically coupled to at least one conductive coil, and the conductive coil is configured to generate electricity due to these magnetic flux changes, wherein the axial force comprises multiple discrete step forces generated from a substantially sinusoidal movement of a corresponding pump jack.