ANALOG SYSTEMS OF PHYSICAL QUANTITIES AND THEIR GRAPH MODELS IN DETERMINING THE PARAMETERS OF MECHATRONIC MODULES

This article is dedicated to the analogy systems of physical quantities and their graph models in determining the parameters of mechatronic modules. It presents the general sets and fundamental laws of analogy systems of physical quantities and their elements for determining the parameters of mechatronic modules. Based on the general sets and fundamental laws of analogy systems of physical quantities and their elements, principles have been developed for mechatronic modules with a heterogeneous structure consisting of electrical, magnetic, and mechanical parts. In these modules, the field as a form of matter exists, forming the basis for developing mathematical models to determine the state modes of fields and circuits. The article also provides primary and auxiliary analogy relations for the electric and magnetic fields and circuits of mechatronic modules, classifying them into static fields, static circuits, and dynamic circuit quantities. Based on this classification, a mathematical description scheme for performing operations in spatial coordinates of the mechatronic module is constructed. Additionally, a graph model expressing the interconnection of set elements of quantities is presented, based on the mathematical description scheme for performing operations in spatial coordinates to determine the parameters of the mechatronic module. Determining the parameters of mechatronic modules, analogy systems of physical quantities, and their graph models serve as the basis for creating energy and information converters, sensors, and various other technical elements and devices.

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