Energy and Dynamic Efficiency of Linear Electromagnetic Motors with One Winding and with Gravitational Storage

Abstract

The calculation of the dynamic and energy characteristics of pulsed linear electromagnetic machines, made even according to simple structural schemes, is usually a complex and time-consuming task, due to the need to solve nonlinear differential equations. With the complication of structural schemes, the difficulties of solving these problems increase. In this regard, it is of interest to use the principle of reciprocity, which is one of the generalized methods of scientific knowledge of physical processes in dynamical systems, to solve the problems posed. According to this principle, the static characteristics of a pulsed linear electromagnetic motor are used as initial data and the impact energy of such an engine is directly determined by its static traction characteristics and integral work. The relevance of the study is due to the need to determine the energy and dynamic characteristics of the design of an electromagnetic motor with a gravitational energy storage. A counterweight is used as a drive. The parameters of such a design scheme are the static traction force of a pulsed electromagnetic motor, as well as the mass of the armature of the motor and counterweight. Based on the relationships of the reciprocity principle for electromechanical systems, expressions are obtained for the impact energy, the engine arm speed per minute and the shock power of a single-winding electromagnetic motor. It is established that the impact energy and dynamic traction of such an engine are proportional to its static traction. Whereas the engine armature frequency and its impact power have extremes at certain values of static traction and depend on the mass of the counterweight. Moreover, the maximums of the stroke frequency and impact power are biased towards large counterweight masses. It is advisable to use the obtained energy and dynamic characteristics of the structural design of an electromagnetic motor with a gravitational storage device to compare this design with other known structural designs in terms of the presented parameters.