The invention relates to the oil and gas industry, and more particularly to the transportation of crude oil through local and major pipelines, using pumps. The technical result is that of increasing transportation efficiency by reducing electrical energy consumption. The present method envisages the movement of crude oil along a pipeline or the transportation of same using a main line pump driven by an electric motor. The method involves converting electrical energy into mechanical energy by means of the interaction of electrically charged conductors or windings with magnetic fields, after supply of a voltage, with a rotating rotor, mechanically connected to a pump, wherein the rotating masses thereof and the moments of inertia of said rotating masses have a predetermined value. When a voltage is supplied to the windings during start-up, the mechanical energy of the rotating masses is accumulated, said mechanical energy, in turn, being obtained when a portion of the electrical energy is converted during acceleration of the rotor. This accumulated mechanical energy is stored and used in the steady state operation of the motor in the form of kinetic energy. As a result, the sum of two components of the overall mechanical work or energy is obtained: the first component is the work of the electrical current in rotating the rotor with a pump in a steady state mode, and the second component is the work of the accumulated mechanical energy converted from electrical energy during the acceleration of the rotating masses by the rotor, the second component being used together with the first component.