The requirements for electrical components of medium-power vehicles are considered. The parameters of starters and generators used on medium-power vehicles are given. Possible variants of differential electric drives are presented. The options for the implementation of a starter-generator based on a differential electric drive are presented. The usage of a planetary mechanism with control elements for changing kinematic circuits in a differential electric drive has been substantiated. The kinematic switching circuits providing the main op-erating modes of the starter-generator are considered. The advantages of a field regulated reluctance machine as a differential electric drive are given. A mathematical description of the planetary gear is given. The transfer functions of the elements of the differential electric drive are shown. A block diagram of a differential electric drive of a starter-generator based on a field regulated reluctance machine excitation has been developed. The results of the analysis of the frequency characteristics of the contours of the armature current, excitation current, torque and speed, showing the efficiency and applicability of the mathematical model, are presented