Issue №: 3 (130)
The journal solves the problems of creation and improvement of machinery and technologies for agriculture: 131 - Applied Mechanics, 132 - Materials Science, 133 - Industrial Engineering, 141 - Power Engineering, Electrical Engineering and Electromechanics, 208 - Agricultural Engineering
MATHEMATICAL MODEL OF THE SYSTEM OF AUTOMATIC WATER LEVEL CONTROL OF THE HYDRAULIC PRESSURE RESERVOIR OF THE IRRIGATION SYSTEM
Oleg IVANOV – Сandidate of technical sciences, Аssociate professor, Associate Professor of the Department of Construction and Vocational Education, Poltava State Agrarian University (1/3 Skovorody St., Poltava, Ukraine, 36003, е-mail: oleg.ivanov@pdau.edu.ua, https://orcid.org/0000-0002-1761-9913).
Oleksii BURLAKA – Сandidate of technical sciences, Аssociate professor, Associate Professor of the of the Department of Agroengineering and Road Transport, Poltava State Agrarian University (1/3 Skovorody St., Poltava, Ukraine, 36003, е-mail: oleksii.burlaka@pdau.edu.ua, https://orcid.org/0000-0002-2296-7234).
Anton KELEMESH – Сandidate of technical sciences, Аssociate professor, Associate Professor of the of the Department of Agroengineering and Road Transport, Poltava State Agrarian University (1/3 Skovorody St., Poltava, Ukraine, 36003, е-mail: anton.kelemesh@pdau.edu.ua, https://orcid.org/0000-0001-9429-8570).
Sergii LIASHENKO – Сandidate of technical sciences, Аssociate professor, Head of the Department of Agroengineering and Road Transport, Poltava State Agrarian University (1/3 Skovorody St., Poltava, Ukraine, 36003, е-mail: sergii.liashenko@pdau.edu.ua, https://orcid.org/0000-0002-3227-3738).
The paper presents a mathematical model of the system for automatic water level control in a hydraulic pressure tank of an irrigation system. The object of control is the water level, which changes as a result of the supply of liquid by a centrifugal pump. The system is implemented according to the feedback principle, which uses an ultrasonic level gauge as a measuring element, an electric actuator of the pump and a proportional-integral controller for correcting the control signal. To simplify the analysis of dynamics, the system is linearized in the vicinity of the operating point, which corresponds to a stable operating mode, and is presented in the form of transfer functions of individual links. The transfer function of the control object describes the inertial properties of the change in the liquid level in the tank.
Based on the constructed mathematical model, an analysis of the dynamic characteristics of the system was performed, in particular, transient processes and root trajectories were investigated at different values of the controller gain coefficient Kp. The range of its change was taken from 0 to 8 with an increase step of 0.1. The simulation results showed that at small values of Kp < 0.2 the system reacts slowly, demonstrating an aperiodic but prolonged nature of water level establishment. In the range of Kp =0.6…2 the transient characteristic takes on an optimal form - the system reaches the set level without significant fluctuations, providing a compromise between speed and stability. Further increase of Kp > 2.5 leads to a decrease in the transient process time, however, the system acquires an oscillatory character with possible overregulation. At Kp > 7.0 there is a risk of loss of stability, which is confirmed by the location of the roots in close proximity to the imaginary axis.
Graphical analysis of transient characteristics confirmed that an increase in the Kp coefficient reduces the system establishment time, but at the same time increases the amplitude of oscillations. The constructed response time curves and root trajectories allow us to quantitatively assess the stability limits and the influence of the controller parameters on the quality of the regulation process. The results obtained indicate that the use of a PI controller provides effective stabilization of the water level, reduces the static error and increases the reliability of the pumping unit.
The developed methodology can be used to optimize the settings of automatic control systems in hydraulic and irrigation systems, as well as for the further synthesis of controllers with improved dynamic properties.
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About the journal
G8 – Materials Science
G9 – Applied Mechanics
G10 – Metallurgy
G11 – Mechanical Engineering (by specializations)
The journal "Engineering, Energy, Transport AIC" is indexed according to the following databases and catalogs:
The All-Ukrainian scientific journal “Technology, energy, agriculture transport AIC” is an open-access scientific publication that publishes the results of original research, theoretical and applied developments, as well as scientific papers in the fields of engineering sciences, energy systems, and transport technologies of the agro-industrial complex.
The main objective of the scientific journal “Technology, energy, agriculture transport AIC” is to disseminate the results of modern scientific research and to promote the development of technical, energy, and transport solutions for the agro-industrial complex through the publication of scientific materials characterized by scientific novelty and practical significance in the field of design and modernization of machinery, equipment, and technologies.
The journal’s activities are focused on supporting the development of engineering science, stimulating the implementation of innovative approaches into industrial practice, as well as ensuring effective exchange of scientific achievements among researchers, educators, engineers, and other specialists in relevant fields.
Objectives of the Journal
To achieve its defined objective, the journal ensures the implementation of the following key tasks:
· publication of the results of fundamental and applied research covering the fields of applied mechanics, mechanical engineering, materials science, energy systems, electrical engineering, electromechanics, and transport systems of the agro-industrial sector;
· promotion of the implementation of advanced technical and technological developments aimed at improving the efficiency of machinery, equipment, and production processes;
· creation of conditions for active scientific exchange among research institutions, higher education institutions, industrial enterprises, and other interested organizations;
· support for the development of interdisciplinary research and expansion of cooperation among specialists in various fields of science and technology;
· promotion of the improvement of the scientific and technical level of research related to the design, modernization, and operation of technical equipment used in agro-industrial production;
· dissemination of information on modern achievements in science and technology and the implementation of innovative technologies in the fields of technical support, energy, and transport;
· development of a scientific information environment that facilitates effective scientific communication and the integration of national research into the international scientific community.
Publication frequency: 4 issues per year
Languages of publication: Ukrainian, English
Editor-in-Chief: Vitalii YAROPUD
State Registration: Decision of the National Council of Ukraine on Television and Radio Broadcasting № 1337 and № 1180. Media Identifier: R30-05173
EDRPOU Code: 00497236
Publisher ROR: https://ror.org/05m3ysc06
Publisher DOI Prefix: 10.37128
Technology, energy, agriculture transport AIC is a scholarly professional journal with a long-standing history and stable academic tradition, reflecting the evolution of engineering and technical sciences within the agro-industrial sector of Ukraine.
The journal was founded in 1997 under the title Bulletin of Vinnytsia State Agricultural Institute. According to the Resolution of the Presidium of the Higher Attestation Commission of Ukraine dated September 11, 1997, the publication obtained the status of a professional scientific journal, which enabled the publication of the main results of doctoral and candidate dissertations in technical sciences. From its inception, the journal positioned itself as an academic platform for addressing current issues of mechanization, electrification, and technical support of agricultural production. During 2001–2014, the journal was published under the title Proceedings of Vinnytsia National Agrarian University. Series: Technical Sciences (State Registration Certificate of Print Media KV No. 16644-5116 PR dated April 30, 2010). Throughout this period, a systematic approach to the selection and peer review of scientific manuscripts was established, the thematic scope of publications was expanded, and continuity of scientific directions as well as the development of sectoral engineering schools was ensured. Since 2015, the journal has been published under its current title, Technology, energy, agriculture transport AIC (State Registration Certificate No. 21906-11806 R dated March 12, 2016). The change of title reflected the expansion of the journal’s thematic coverage and its orientation toward interdisciplinary research in mechanical engineering, energy systems, electrical engineering, transport technologies, automation, and digital solutions for the agro-industrial complex.
