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The process of forming a mathematical model of an asynchronous electric drive with phase-impulse control is considered.The article presents the peculiarities of making of mathematical models of electromechanical energy converters and laws of physics on which they are based.A critical analysis of scientific sources on the development, research and operation of control devices for adjustable asynchronous electric drive is made. It is emphasized that the emergence of a new modern element base encourages the search for new engineering solutions in this area.It is noted that the definition of the priority method of speed control of an asynchronous electric motor as a basic element of asynchronous electric drive is a multifactorial and quite complex task.The following are selected as research methods: fundamental provisions of the theory of electromechanical energy conversion, methods of mathematical analysis of elements of valve-electromechanical systems, mathematical modeling, numerical methods of solving differential equations.For mathematical modeling of an asynchronous electric drive with phase-impulse control, a system of real stator coordinates is chosen, which allows to operate with real stator phase currents, both in unconverted natural coordinates, and at the same time to get rid of periodic coefficients in expressions for inductances and mutual inductance of flux linkage.Taking to the account that the transformations in making of the mathematical model refer only to the rotor circuits of the motor, and the stator currents remain unchanged, it was pointed out the possibility of its matrix interpretation, considering stator phase circuit in addition to the rotor.The expediency of adaptation of the built model of asynchronous electric drive with phase-impulse control to practical calculations in MathCad is indicated.