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Документ On constructing a random values generator of the input material flow for transport conveyor models based on neural network(Видавничий дім "Гельветика", 2024) Pihnastyi, O. M.; Sobol, MaksymThis study examines a method for constructing a generator of random values of the input material flow to form a training data set for highly efficient transport conveyor models based on a neural network. A comparative analysis of the experimental, approximated and generated realizations for the input material flow of the conveyor type transport system is presented.Документ Predictive analysis of the interval material flow rates in transport conveyors based on experimental data(2024) Pihnastyi, O. M.; Sobol, Maksym; Burduk, AnnaThis study examines a method for constructing a generator of random values of the input flow of material to form a training data set in highly efficient transport conveyor models based on a neural network. Dimensionless parameters are introduced that make it possible to represent the model of the input material flow of a transport conveyor in a dimensionless form. Coordinate functions are determined to approximate the experimental realization of the input material flow. A canonical decomposition of the experimental realization of the input material flow in terms of coordinate functions based on the use of fixed intervals is presented. For the selected canonical decomposition of the experimental realization of the input material flow, a theoretical correlation function is determined. It is shown that as the number of intervals increases, the correlation function of the experimental realization tends to the theoretical correlation function. The stages of constructing a random value generator for the input material flow are presented in detail. A comparative analysis of the experimental, approximated and generated realization for the input material flow is presented and estimates of the statistical characteristics of the realizations of the input material flow are given. The correlation functions constructed for the experimental, approximated and generated realizations of the input material flow are analyzed. An estimate is given of the length of the time interval required to carry out experimental changes in the input material flow.Документ Development of a Method for Generating Material Input Flow for Transport Conveyor Using Experimental Data(CEUR Workshop Proceedings, 2023) Pihnastyi, Oleh; Sobol, Maksym; Burduk, AnnaThis work is devoted to the development of a method for generating values of the input material flow of a transport conveyor based on experimental data. The experimental data are represented by a single realization of the material flow for a sufficiently large observation time interval. The statistical characteristics of the implementation of the input material flow are studied. To determine the values of the correlation function, the numerical integration method was used. To analyze statistical characteristics, dimensionless parameters are introduced that can be used to construct similarity criteria for input material flows. When constructing the generator of the input material flow, the canonical expansion of the random process in orthogonal functions is used. This decomposition allows transformations to be carried out over a stochastic input flow of material. It is assumed that the implementation of the input material flow is formed for the steady state of material extraction. As a zero approximation when constructing generators of the input material flow values, it is stipulated that random measurements in the canonical expansion have a normal distribution law. Orthogonal functions are represented by a normalized Fourier series. It is shown that centered random variables of the canonical expansion have dispersion values that are defined as expansion coefficients of the correlation function in a Fourier series. Analysis of the generated material flow realization shows that its values have a distribution close to the normal distribution. An example of realization using a random value generator for the input material flow is presented. The accuracy of the realization is determined by the number of terms in the Fourier series expansion and the accuracy of the numerical integration method.Документ Method for Determining Statistical Characteristics of Input Material Flows of Transport Conveyor(2023) Pihnastyi, Oleh; Sobol, MaksymThis paper is devoted to the study of the statistical characteristics of the experimental values of the material flow entering the input of a conveyor-type transport system. The paper considers the statistical analysis of the input non-stationary stochastic material flow, represented as a superposition of non-stationary deterministic and stationary stochastic material flow with ergodic properties. The problems of typification of the empirical input material flow for modern mining enterprises are considered, taking into account the technical and technological factors that characterize the method of extracting the material. The results of the work are of theoretical and practical interest for building transport conveyor models, considering the stochastic nature of the input material flow, and can be used to improve the efficiency of algorithms for optimal control of the transport conveyor material flow.Документ General methods for studying input material flows of conveyor transport system(Odesa National Maritime Academy, 2023) Pihnastyi, O. M.; Sobol, MaksymA transport system model based on neural network can be used in the synthesis of algorithms for optimal control of a conveyor section flow parameters, in order to reduce the specific energy consumption of material transportation.Документ The Input Material Flow Model of the Transport Conveyor(Institute of Electrical and Electronics Engineers, Inc., 2022) Pihnastyi, O. M.; Sobol, MaksymThis paper discusses the problem of forming a data set for training a neural network used to build a model of a multi-section conveyor. The analysis of the models, which are used by designing the flow parameters control system of the transport system, is given. The conditions of applying a neural network in the transport conveyer model are justified and determined. Methods for generating a data set for training a neural network are discussed. As the main approach, the use of production data obtained from functioning transport conveyors is considered. Statistically processed data can be used to build generators of stochastic processes that model the incoming material flow for the transport system. The development of these generators to form the input flow of the material of the transport system opens up the possibility of analyzing and monitoring conveyor models in various modes of its configuration. A statistical analysis of the incoming material flow of the transport system was carried out and its number characteristics were determined. The correlation function characterizing the input flow of material for the transport system is considered. The introduction of dimensionless parameters to describe the input material flow made it possible to scale the results of work for a wide class of conveyor-type transport systems.Документ Analysis of a Dataset for Modeling a Transport Conveyor(2022) Pihnastyi, O. M.; Burduk, AnnaThe analysis of the works, which considered the use of neural networks for modeling a multi-section transport conveyor, was carried out. The prospects for the use of neural networks for the design of highly efficient control systems for the flow parameters of a multi-section transport conveyor are studied. The problem that limits the use of neural networks for building control systems for the flow parameters of a multi-section transport conveyor is considered. The possibility of constructing generators for generating a data set for the process of training a neural network is being studied. A method for generating a data set based on experimentally obtained measurements of the instantaneous values of the input material flow as a result of the operation of industrial transport systems is proposed. Using dimensionless variables, a statistical analysis of a stochastic flow of material entering the input of the transport system was performed. An estimate of the correlation time of a stochastic process characterizing the input flow of material is given. The recommendations on choosing the type of correlation function for the model of the input material flow were confirmed. It is demonstrated that the input flow of material is a non-stationary stochastic process. Approximations for modeling the input flow of materials of the operating transport system are considered.Документ Use of analytical model for synthesis of algorithms for control of transport conveyor parameters(Khmelnytskyi national university, 2022) Pihnastyi, O. M.; Sobol, MaksymThis 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.Документ On the Characteristics of the Input Material Flow of the Transport Conveyor(Vasyl Stefanyk Precarpathian National University, 2022) Pihnastyi, O. M.; Sobol, Maksym; Yelchaninov, D. B.In this paper, the statistical characteristics of the flow of material entering the input of a conveyor-type transport system are studied. For a set of data obtained as a result of experimental measurements of the input flow of material, the law of distribution of a random variable and the correlation function is investigated. Theoretical assumptions about the law of change of the correlation function for the input flow of material are confirmed.Документ Анализ напряжения в конвейерной ленте для Maxwell-модели упругого элемента(Національний технічний університет "Харківський політехнічний інститут", 2022) Пигнастый, Олег Михайлович; Соболь, Максим ОлеговичРассмотрен механизм распространения продольных динамических напряжений в конвейерной ленте, материал которой соответствует Maxwell модели упругого элемента. Рассмотрены особенности возникновения продольных колебаний в материале конвейерной ленты для секции транспортной системы, оснащенной асинхронными двигателями. Показано, что ускорение конвейерной ленты возникает в результате скачкообразного изменением тягового момента асинхронного электродвигателя при изменении потребляемой мощности участка конвейера. Процесс ускорения/торможения ленты конвейера носит периодический характер и определяется неравномерностью распределения материала вдоль транспортного маршрута. Это накладывает дополнительные ограничения на синтез алгоритмов оптимального управления скоростью конвейерной ленты. Для анализ распространения динамических напряжений в конвейерной ленте использована Maxwell модель упругого элемента. Учет неравномерности распределения материала вдоль транспортного маршрута основан на аналитической PiKh-модели конвейерной секции. Для анализа продольных колебаний в конвейерной ленте секции транспортной системы записано волновое уравнение и обоснованы граничные условия. Дана оценка скорости распространения продольных колебаний в ленте конвейера. Получено решение волнового уравнения, основанное на методе последовательных приближений, определяющее динамику распространения динамических напряжений вдоль конвейерной ленты. Дана оценка значения характерного времени ускорения ленты, определяющая непрерывный режим функционирования секции транспортного конвейера. Научная новизна полученных результатов заключается в усовершенствовании систем управления потоковыми параметрами транспортной системы при наличии ограничений, связанных с возникновением продольных колебаний в конвейерной ленте. Практическая значимость полученных результатов состоит в построении методики расчета ограничений режима ускорения/торможения конвейерной ленты, неравномерно загруженной материалом вдоль транспортного маршрута.