In the recent days, Switched Reluctance Machines (SRMs) occupy a great interest in several industrial applications thanks to their several advantages such as simple and robust construction, low cost, high reliability, and easy cooling. However, SRMs have also drawbacks such as some challenges in their control, high acoustic noise, high levels of torque ripple and vibrations. Compared to the conventional switched reluctance machines with higher stator pole number than the rotor, in this paper a new family of SRMs with higher number of rotor poles than stator is introduced. The 12/16 SRM has been designed and simulated by means of Finite element method (FEM). In addition, the performance of 12/8 and 12/16 SRMs has been compared.