Impact impulse linear electromagnetic machines are widely used in new vibratory impact technologies. Their head oscillation frequency is equal to or multiple of the power-line frequency. It is necessary to increase an impact energy and decrease an influence of the impulse linear electromagnetic machine on a single-phase power-line. This is an actual problem to be solved by developing perspective operating cycles and control algorithms. The paper offers a new variant of two-inductor impact synchronous electromagnetic machine. The head impact mass is accelerated back and forth by electromagnetic forces. A newly developed operating cycle is considered based on an example of the two-inductor impact electromagnetic machine with inertial head reverse, which control method is protected by the patent. This method enables reduction of electric drive influence on the power-line. The energy conversion within the total operating cycle is described with the electromechanical system energy balance with respect to interaction between all elements of the impact node construction. The use of a new control method provides a decrease of the current amplitude. It also reduces an effect of the impulse electromagnetic machine on the power-line because of three voltage half-waves applied to the inductors within an operating cycle.