APPLICATION OF ELECTROMECHANICAL ANALOGIES SYSTEMS TO CREATE MATHEMATICAL MODELS IN ELECTRIC DRIVES

An electromechanical system and a method for studying it based on constructing a simulation model are considered. The difficulties of the mathematical description associated with the exchange of energy between the mechanical and electrical parts of the system, and with the transformation of energy in each of these parts, are indicated. Using the example of an electrical and mechanical system, a mathematical description of their operation is considered, and analogies between mechanical and electrical quantities are given. Using the concept of direct and inverse systems of electromechanical analogies, it is shown that mechanical elements can be represented by various electrical quantities. In relation to the electric drive, the connections between magnetic quantities and mechanical analogues are substantiated. An analogy is shown between current strength and angular velocity, magnetic field energy and kinetic energy of a rotating body, self-induction coefficient and moment of inertia. A conclusion is drawn about ways to influence these quantities in order to change them. Based on the analysis of the equations of the considered systems, it was concluded that, despite the physical differences, electrical and mechanical elements are described by one type of differential equation and have the same dynamic properties, which allows us to represent the electromechanical system in the form of typical dynamic links. This approach allows you to move from a physical model to a mathematical one and use a simulation program to study it. This simplifies the task of studying the dynamic properties of the system in the real and frequency domains.