The purpose of this paper is to introduce a new type of a load commutated voltage-forced synchronous machine drive which is capable of controlling the stator current waveforms, an approximate to sine wave. Then, Schawarz-Chirstoffel transformation is utilized to obtain the harmonic series of the air gap magnetic conductances of the mentioned machine due to the stator slotting with smooth rotor and vice versa. These harmonic series are used to calculate the rotor to stator mutual inductances for both types of the skewed and unskewed rotor machines. The drive system equations are derived and used to develop a C++computer program to model the machine drive system on PC. Finally, the system simulation results obtained are compared to some available practical results.