The new method for analysing of dynamic characteristics of a non-linear actutor of a mechatronic system

The paper contains the crucial features of the research programme for building complex mathematical tool that enables theoretical investigation of analysing of dynamic characteristics of a non-linear actuator of a mechatronic system. We suppose that the actuator with the non-hysteresis and non-linear magnetic circuit is consisted of a magnetic, mechanic and electric part – feeding circuit. This electromechanical system can be described by a canonic system of non-linear differential equations of order 1 by means of state variables method. Next, permeability of the core lamination is influenced by the non-linearity of the magnetic circuit. Therefore we have to consider the magnetizing curve of a magnetic circuit to count the permeability and variable inductance and magnetic force. This given system of equations can be solved numerically and for several basic cases (harmonic or DC feeding circuit) it is possible to use available professional numerical program packages for solution of the differential equations (Matlab, Mathematica, etc.). According to our experience it is necessary to develop a special user program. The output data are time dependences of current i (electric state variable), of velocity of deflection v and of size of deflection x (mechanic state variables). In this article there is created a mathematical model and algorithm for numerical solution of the above described problems