This paper presents an analytical approach for the design of doubly salient electric machines based on the concept of conformal mapping. The main idea is to reduce the number of required conformal transformations used for doubly salient machines without losing the analytical side of the approach. As an example, we consider the wound salient pole rotor synchronous machine. However, this proposed analytical model is general and fits any other structure to consider the slotting or doubly salient effect. The analytical results obtained by this method are in very good agreement comparing to those of finite element simulations. Moreover, the calculation time is highly reduced. The accuracy of the proposed analytical model is checked out by analyzing the performance of the machine (torque, flux, Back EMF) for on-load and no-load conditions.