The linear generators having armature winding of copper or superconductor for generation of electrical power from the oceanic wave are usually made of ordinary mild steel core. The heat generated due to armature core loss poses challenges to the superconductor to maintain cryogenic temperature. In this paper, high grade ferromagnetic cores namely Armco DI-MAX M27 and DI-MAX HF 10 are used in a high temperature superconductor linear generator so that the generation of heat energy due to core loss can be minimized. The mathematical model of the linear generator is presented in detail. ANSYS/Maxwell software package is used for simulation works. The magnetic saturation of Armco DI-MAX M27 is higher than that of the DI-MAX HF 10. On the other hand, DI-MAX HF 10 has lower core loss than that of the Armco DI-MAX M27. The novelty of the proposed linear generator is that, it considers all these parameters for both the copper and superconducting coil/winding. Simulation results exhibit excellent features of the proposed linear generator having superconducting coils in its armature with high graded ferromagnetic cores.