Модель системи керування насосною станцією на засадах теорії електричних кіл

Abstract

Systemic approach to modeling and controlling the operating modes of a pumping station with electrically driven pump units , based on electric circuit theory and principles of system analysis is proposed . Mathematical model of the pumping station, constructed using the electro-hydraulic analogy method and circuit theory, has been applied; it adequately reproduces the interaction of the electrical, mechanical, and hydraulic subsystems, united by the shared process of energy conversion from electrical to hydraulic energy. A comprehensive model of the control system has been formulated, it takes into consideration the impact of technological, energy, structural, and operational parameters on the efficiency and reliability of the pumping station. The patterns of interaction among subsystems of different physical nature have been studied, and dependencies, enabling to realize the coordinated regulation of the operating modes of electric motors and pumps to maintain optimal flow and pressure characteristics have been established. Structural scheme of the automated process control system, built according to a hierarchical principle and implemented on three levels — upper, middle, and lower has been proposed. This architecture ensures centralized control, local management, and direct interaction with automation objects. Mathematical model of the pumping station control system has been developed in the form of a multi-objective optimization problem, which considers local and global optimality criteria, aimed at minimizing energy consumption, improving the efficiency of electric motors and pump units, and ensuring their reliability. Software has been created for multi-criteria optimization of the pumping station operating modes, allowing for rapid formation of objective functions and determination of optimal flow load values. The system has been tested on a pumping station with three consecutively connected electrically driven pump units, demonstrating the effectiveness and reliability ofthe proposed model and its potential for integration into the existing automated control system. The results show the controlsystem’s ability to maintain optimal operating modes, enhance the efficiency and reliability of pump units, and ensure coordinated execution of multi-objective tasks in real time.