The necessity of research of descriptions of electromechanics drive is in-process grounded for realization of the linear moving in a micrometers range – linear induction-dynamic transformer. A drive is considered as a system of components: to resilient mechanical part, to driven to motion electromagnetic force, by the developed flat spool of shortcircuited anchor, hardly connected with a working organ, locomotive in the magnetic field of inductor. The spool of inductor is excited periodic rectangular impulses, which are characterized amplitude, frequency, fillfaktor. On the basis of the known results of optimization of similar devices calculation correlations are certain for the basic parameters of LIDP in the function of diameter of inductor. The mathematical model of linear induction-dynamic transformer is developed for the mode of the small moving. On the basis of the got model regulation descriptions are certain and the analysis of types of managing influences is conducted for a transformer. The analysis of managing signals of drive is conducted. The developed model and got correlations allow in future to execute development of LIDP taking into account the real requirements of executive mechanisms and optimize the parameters of device on different criteria.