Моделювання динамічних режимів роботи асинхронного електроприводу з відцентровим насосним навантаженням

Abstract

A review and analysis of different approaches to modelling the operating modes of an asynchronous electric drive with centrifugal units of pumping stations has been performed. It has been shown that modern researches of this subject are mainly focused either on the control systems of the electric drive of pumps, or on the hydraulic subsystem, or on the optimization of energy and economic macro indicators of pumping stations in general. As a rule, in most works only one of the subsystems of the pumping station is modelled in an expanded form: either electromechanical or hydraulic; the other one is usually presented in a very simplified way (by approximating the experimentally obtained tabular data). This significantly limits the ability to study efficiently the physical processes that take place simultaneously in these inextricably linked subsystems, and extends the range of the proper specialists involved in solving relevant tasks. One way to solve this problem may be to develop a mathematical model in which both subsystems would be presented with a comparable level of detailing. The paper proposes a mathematical model of dynamic operating modes of an asynchronous electric centrifugal pump unit with a pipeline, in which the electromechanical and hydraulic subsystems are presented with a balanced level of detailing. The equations of the mathematical model are formed in orthogonal d-q coordinates rigidly connected to the rotor of the asynchronous machine in relative units using a system of basic quantities and are solved with respect to the first derivatives. The proposed model can be used for analyzing the operating modes of the existing high-capacity pumping stations and their power supply systems without making physical experiments, and for designing new facilities as well.