Кафедра "Інтернет речей"

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Analysis of the input material flow of the transport conveyor
(Національний гірничий університет, 2023) Pihnastyi, O. M.; Sobol, Maksym
Purpose. To develop a method for analyzing the material flw entering the input of a conveyor section, based on the decomposition of the input material flw into a deterministic material flw and a stochastic material flw. Methodology. The analysis of experimental data characterizing the input material flw was performed using the methods of the canonical Fourier representation of a random process. Findings. A method for representing a stochastic material flw as a combination of a deterministic process and a stationary random process with ergodic properties is proposed. Originality. The originality of the obtained results lies in the fact that, for the fist time, a method of analysis based on the decomposition of the input material flw for a conveyor section has been proposed, which, unlike the existing methods of input flw typing for the mining industry, will allow us to independently perform deterministic flw typing and stochastic material flw typing in transport conveyors. The proposed approach makes it possible to highlight special characteristics separately for deterministic and stochastic material flws. This will make it possible to use the obtained regularities to increase the accuracy of the conveyor model and will accordingly increase the quality of the belt speed control systems and the flw of material coming from the input bunker. The obtained results are of particular importance due to the fact that the characteristics of the deterministic material flw are directly related to the technical or technological factors of material extraction. Practical value. The obtained results allow determining statistically stable regularities for the incoming flw, which makes it possible, based on these regularities from the set of available control algorithms, to choose the optimal control algorithm for the parameters of the operating conveyor section. This allows reducing the enterprise’s energy costs of the transportation of material. The proposed method can be successfully applied to build random number generators simulating the sequence of values of the input flw of material. The developed generators can be used both for validating existing belt speed control systems and creating new control systems based on neural networks. This opens perspectives for the design of effctive systems for controlling the flw parameters of transport system, based on the transport conveyor model, which takes into account the stochastic nature of the incoming material flw.
Use of analytical model for synthesis of algorithms for control of transport conveyor parameters
(Khmelnytskyi national university, 2022) Pihnastyi, O. M.; Sobol, Maksym
This study presents a methodology for synthesizing optimal control algorithms for the flow parameters of a conveyor-type transport system with a variable transport delay. A multi-section transport conveyor is a complex dynamic system with a variable transport delay. The transport conveyor is an important element of the production system, used to synchronize technological operations and move material. The Analytical PiKh-model of the conveyor section was used as a model for designing a control system for flow parameters. The characteristic dimensionless parameters of the conveyor section are introduced and the similarity criteria for the conveyor sections are determined. The model of a conveyor section in a dimensionless form is used to develop a methodology for synthesizing algorithms for optimal control of the flow parameters of a transport conveyor section. The dependencies between the value of the input and output material flow of the section are determined, taking into account the initial distribution of the material along the conveyor section, variable transport delay, restrictions on the specific density of the material, and restrictions on the speed of the belt. The dependencies between the value of the input and output material flow for the case of a constant transport delay are analyzed. A technique for synthesizing algorithms for optimal belt speed control based on the PiKh-model of a conveyor section is presented. As a simplification, a two-stage belt speed control is considered. Particular attention is paid to the methodology for synthesizing optimal control algorithms based on the energy management methodology (TOU-Tariffs). The criteria of control quality are introduced and problems of optimal control of flow parameters of the transport system are formulated. Taking into account differential connections and restrictions on phase variables and admissible controls, which are typical for the conveyor section, the Pontryagin function and the adjoint system of equations are written. As examples demonstrating the design of optimal control, algorithms for optimal control of the flow parameters of the transport system are synthesized and analysis of optimal controls is performed.

Кафедра "Інтернет речей"

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