The article scrutinizes the transients of asynchronous engines regulated by a frequency converter in pumping units used in water supply systems of industrial enterprises and settlements and presents the results of mathematical modeling of energy-efficient operating modes. Transients of asynchronous motors with frequency control and rational use of electricity during periods of shortage of energy were taken as the subject of the research; the actual goal of the sought-after solution was chosen by means of a fundamental mathematical analysis of the shortcomings observed in the subject of the study. The relevance of this work increases again if we take into account the fact that the work carried out in this area has been so far implemented mainly in reclamation pipeline systems with low static torque; however, the results and methods of application cannot always be directly applied to pipeline systems of industrial enterprises with high static torque. Being a research method, specific aspects of existing methods of control of pumping units were studied in practice. When constructing a mathematical model of the transient processes of an asynchronous motor, the Kramer method was used to account for the static resistance and the moment of friction created in the pipe. In the dynamic characteristic of an asynchronous motor, matrices are constructed with an account of the oscillatory process and brought to a final decision. The outcome of the work was a mathematical expression representing transients occurring in every phase of the asynchronous motor stator, taking account of the oscillatory state, and a graph of this function. The research findings will enable the use of the frequency correction method in pipeline systems with increased static pressure and pumping units with an energy consumption of less than 100 kW to increase their energy efficiency. According to the research findings, the energy indicators of asynchronous motors were determined by analyzing the parameters of electromechanical converters by means of frequency adjustment in the pipeline system with high static torque in industrial enterprises where the experiment took place.