Determination of a kiln model during normal operation

One of the main requirements for the efficiency of automatic control systems at enrichment plants is the adequacy of the mathematical model of the controlled object used in the design and adjustment of the control system. However, even with an adequate mathematical model of the control object, over time, the operation of the automatic control system may become ineffective due to changes in the parameters of the control object used in the development of the system. Thus, there is a need for periodic updating of the parameters of the controlled object. Such parameter adjustment is especially important for objects with the return of part of the initial substance from the output of the object to its input – objects with recirculation (recycle). For enrichment processes, such objects in some cases are crushers, screens, mills and a number of other process units. In addition, objects with recycle are often characterized by large transport delays in the flows of ore and pulp. When creating automatic control systems in this case, an accurate mathematical model of the controlled object is needed. In particular, such a model is absolutely necessary for using the Smith regulator recommended for working with objects with recycling. Due to the aging of mechanisms, changes in the physical properties of ore and pulp, and other conditions, the parameters of control objects change and require periodic adjustment, which has been repeatedly indicated in various studies. The paper proposes to use the apparatus of the theory of random functions to update the mathematical description of enrichment objects with recycle, based on the Wiener-Hopf equation, without conducting special experiments in normal operation mode.

Leonov R. E., Patrakov S. S. Determination of a kiln model during normal operation. MIAB. Mining Inf. Anal. Bull. 2025;(1-1):155-164. [In Russ]. DOI: 10.25018/0236_ 1493_2025_11_0_155.

R.E. Leonov¹, Cand. Sci. (Eng.), Assistant Professor, Professor, e-mail: lprep2011@mail.ru, ORCID ID: 0000-0002-2531-8336,
S.S. Patrakov¹, Graduate Student, e-mail: patrakov.sema@mail.ru, ORCID ID: 0009-0007-9173-6935,
¹ Ural State Mining University, 620144, Ekaterinburg, Russia.

R.E. Leonov, e-mail: lprep2011@mail.ru.

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