Abstract
In the context of modern requirements for energy efficiency and automation of thermal systems, particularly gas burners, the development of accurate mathematical models to describe the operation of electric drives that ensure the functionality of key system components plays a crucial role. One such component is the air intake damper drive, which regulates airflow to the combustion chamber, directly affecting combustion efficiency and burner stability. The objective of this study was to develop a mathematical model of the gas burner’s electric drive system, accurately describing the dynamics of the fan motor, air intake damper drive, drying drum drive, and other system elements. To achieve this, methods of mathematical modelling of dynamic systems and numerical methods for solving differential equations in the MATLAB environment were utilised. Modelling these processes ensured high accuracy in predicting system performance and energy efficiency at all operational stages. The main results included the development of a mathematical model describing dynamic processes in the drive system, accounting for the inertial characteristics of the damper drive, gearbox parameters, damper mass, moment of inertia, and the influence of the actuator’s mass on system dynamics. Graphs were constructed to analyse the system’s temporal characteristics. Dynamic processes in the drive system, critical for stable and efficient airflow regulation, were described. The developed model enabled analysis of transient processes and optimisation of controller settings, particularly PID controllers, to enhance system responsiveness. An important aspect was the evaluation of the impact of drive parameters on the energy efficiency and stability of the gas burner. The model can be integrated into gas burner automation systems, enhancing energy efficiency, ensuring reliable operation under various conditions, and reducing drive overload risks through optimised control parameters