ИНТЕГРАЦИЯ МЕТОДА ФУНКЦИЙ ЛЯПУНОВА ДЛЯ АНАЛИЗА УСТОЙЧИВОСТИ ЭЛЕКТРООБОРУДОВАНИЯ АПК

Abstract

The functioning of agro-industrial enterprises is considered from electrical equipment operation, quality and stability of automated controlled systems. Energy consumption management is an important task of agro-industrial enterprises, directly related to the stability of electric energy conversion devices. The stability analysis model implemented by the authors makes it possible to improve the quality of control of electrical equipment. (Research purpose) The research purpose is developing a method for ensuring the stability of electrical equipment of agricultural enterprises using Lyapunov functions. (Materials and methods) Proposed the integration of the Lyapunov function method into the agro-industrial complex management systems for stability analysis and forecasting of the state of electrical equipment. The stator currents of the drive motor and the speed characteristics of the rotor rotation were analyzed. We studied the electric motor as a second-order link, evaluated the equilibrium position of the system under consideration, and discussed the stability range of the system described by a homogeneous differential equation. The method of Lyapunov functions was used to assess the stability of dynamic systems. This allows stability analysis and determining critical points of failure of electrical equipment. (Results and discussion) It was determined that the stability conditions found out using Lyapunov functions depend both on the selected function V(x) and on the equations of the system in state variables. Practical examples of the integration of the Lyapunov function method into automated agricultural production systems, which demonstrate an increase in the stability of electrical equipment, were given. (Conclusions) The possibility and method of using Lyapunov functions for estimating the parameters of an electrical control system have been shown, which makes it possible to successfully solve the problem under consideration, and to propose this approach for solving similar applied problems related to estimating the parameters of ordinary differential equations. It was revealed that the proposed method has shown its efficiency and can be used to automate control facilities in agricultural production.