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Low power density is an obstacle of linear switched reluctance machines (LSRMs) to be competitive candidates for the wave energy conversion, which is increasingly a potential source of renewable energy. Meanwhile, the strong coupling and nonlinearity of LSRMs and drives make it very difficult to derive a comprehensive mathematical model for the behavior of the system. This paper presents a new excitation winding configuration to improve the power density and proposes a new method to model the LSRM and drive based on the matrix and tensor approach. The accuracy of the model has been evaluated by comparison to the simulation result from the finite element analysis tool.