Year: 2024
Type: article
Abstract: Purpose. To investigate the linearised mathematical model of a heater and identify the potential for lowering the order of the heater’s transfer functions for further synthesis of control systems and improvement in the efficiency and safe operation of a track heater. Methodology. After obtaining a linearised mathematical model of a heater with a transitory heat medium, the mathematical model equations are written in a standard format, followed by their Laplace transformation at zero initial conditions. With the help of the program product, an analytical study of the linearised model was performed, after which the Henkel singular values were used to simplify the order of the mathematical model transfer function from the seventh to the third and an assessment of the calculation accuracy loss after the function’s approximation was conducted, which showed that the accuracy loss was not significant. Findings. Having studied the linearised mathematical models of heaters with a transitory heat medium, it was determined that the transfer functions in the mathematical model are of the seventh order, which significantly complicates the creation of an automated heater control system. As a result, a simplified mathematical model with transfer functions of the third order is obtained, which significantly reduces the calculation complexity on modern microprocessors. Originality. Linearised mathematical models of an indirect heater were developed, based on the assumption of insignificant deviations of the output values from their baseline values. The studies of the linearised model showed that the transfer functions of the oil track heater are of the seventh order. Using Henkel singular values, it was possible to achieve transfer functions of the third order, which would reduce the complexity of creating automated control systems for indirect oil and gas condensate heaters. Practical value. Modern digital control systems for the oil heating process are created. Using the method for reducing the order of transfer functions by using Henkel singular values to three significantly facilitates the integration of these models into microprocessor-based controls. This helps to improve the efficiency and reliability of automatic control systems, ensuring a stable and safe oil heating process, which is critical for the smooth operation of technological processes.
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405924006