Development of mathematical models for temperature control objects in thermal destruction systems based on transient process identification

Thermal destruction systems are essential for processing hydrocarbon waste, requiring precise temperature control to ensure operational efficiency and high product quality. However, accurately modeling the thermal behavior of such systems remains a challenging task due to the need for precise identification of transient heating characteristics. This study addresses this problem by developing an advanced two-point identification approach for constructing transfer function models of temperature control objects. Unlike conventional methods that rely on fixed reference points for each model order, the proposed approach leverages predetermined empirical coefficients, enabling flexible and more accurate identification from any two points on the transient characteristic, even in the presence of noise. The effectiveness of the developed method is validated through the identification of two distinct experimental transient characteristics of a 100-liter reactor within a pilot thermal destruction system under noise conditions. Comparative analysis against three known identification techniques demonstrates that the proposed approach consistently yields the most accurate models while maintaining relatively low computational complexity, due to its versatility and ability to operate in noisy conditions. In particular, the values of the integral squared deviation were reduced by 0.126·105 for the first case and by 0.092·105 for the second case when compared with the best results achieved using the conventional two-point method. This confirms its high efficiency and the feasibility of using it to create comprehensive mathematical models of various systems for thermal destruction of hydrocarbon waste. The proposed approach is particularly well suited for rapid identification of transfer functions under varying operating conditions and can be applied to enhance control strategies, ultimately improving process stability, energy efficiency, and product quality in thermal destruction applications