The paper presents the results of research and model tests of a modular synchronous inductor machine (MSIM). It demonstrates the design of the machine, implemented in a prototype based on the existing design of the modular switched reluctance machine (MSRM) [8]. It emphasizes a number of positive aspects of a practical implementation of this design and distinctive features of its mathematical description. An algorithm for calculation of the parameters of the electromagnetic module of the machine in Ansys Maxwell software package is presented, too. The paper also discloses a method for calculation of a back-EMF component caused by a change in the flux of the phase winding, consisted from the module's windings, due to rotation of the excitation flux associated with the rotor. On the basis of the calculation the results are presented in analytical and graphic forms, a mathematical description and a computer model of MSIM were developed, as well as a computer model of the electric drive on its basis in Matlab - Simulink software package, which confirmed the limit characteristics of the machine, specified in the design. The electric drive with the above machine is built on the principle of subordination control with the internal current loop, which employs relays in each phase, i.e. sliding mode, and the outer loop speed, which uses PI regulator.