Optimizing the Operating Modes of Axial Pumping Stations Using Mathematical Modeling and Control Algorithms for Sustainable Water and Energy Management

Mamatkobil Esonturdiev; Aybek Seytov; Roziya Haydarova; Mexribon Solayeva; Isroilbek Ergashev; Iqbol Qaynarova; Khayriddin Rakhmonov; Lola Kuzibaevna Narimbaeva; Toshtemirova Dilbar Bozarovna

doi:10.37934/sej.16.1.7791

Authors

Mamatkobil Esonturdiev The University of World Economy and Diplomacy, Tashkent, Uzbekistan
Aybek Seytov The University of World Economy and Diplomacy, Tashkent, Uzbekistan
Roziya Haydarova Termiz State University, Termiz, Uzbekistan
Mexribon Solayeva The University of World Economy and Diplomacy, Tashkent, Uzbekistan
Isroilbek Ergashev Chirchik State Pedagogical University, Chirchik, Uzbekistan
Iqbol Qaynarova Chirchik State Pedagogical University, Chirchik, Uzbekistan
Khayriddin Rakhmonov Bukhara State Technical University, Bukhara, Uzbekistan
Lola Kuzibaevna Narimbaeva Chirchik State Pedagogical University, Chirchik, Uzbekistan
Toshtemirova Dilbar Bozarovna Academic Lyceum named after M.S. Vosiqova under Tashkent State University of Law, Uzbekistan

DOI:

https://doi.org/10.37934/sej.16.1.7791

Keywords:

Axial pump, Control algorithm, Energy efficiency, Irrigation system, Mathematical modeling, Pumping station, Sustainable water management

Abstract

Efficient operation of axial pumping stations requires coordinated management of hydraulic conditions, pump-unit combinations, water delivery, and energy consumption. This study develops a mathematical modeling and control approach for optimizing the operating modes of axial pumping stations in irrigation systems. Hydraulic parameters, pump characteristics, operational constraints, and energy requirements are integrated into an optimization framework to determine advantageous flow distributions among multiple pumping units. Analytical optimization, including the Lagrange approach, is combined with computational analysis using operational data from the irrigation system. The results identify feasible operating modes under different hydraulic conditions and demonstrate the importance of coordinated pump operation for controlling water flow and energy use. The proposed approach provides an engineering framework for improving pumping-station operation while maintaining required hydraulic conditions. The findings are relevant to sustainable water and energy management and support resource-efficient operation of irrigation infrastructure.