creATioN of objecT-orieNTeD moDel of ceNTrifuGAl PumP oN The bASiS of elecTrohyDroDyNAmic ANAloGy meThoD Purpose. Development of an objectoriented model of a centrifugal pump (CP), which would reflect the constructive features of the structure and processes in it, as well as the simultaneous balance of effort (delivery head and pressure), and flow (flow rates) variables, namely the balance of powers. methodology. Applying of the electrohydrodynamic analogy method to the flow diagram of liquid in a centrifugal pump en abled to synthesize the expanded complex equivalent circuit of a CP, spatially combined with its constructive elements. findings. The theoretical calculation of the CP performance characteristics according to its directory data for the entire interval of change in the flow rate duty taking into account the physical properties of the working fluid was carried out. Good agreement between the calculated and experimental performance characteristics of the main pump НM3600230 is illustrated. The relative error of calculations does not exceed 5-8 %. originality. The developed objectoriented model of the CP takes into account the vortical circulation processes of the motion of the liquid both at the input and output of the rotor wheel (impeller), and in the interblade space. Also, the model adequately reflects the link between the mechanical and hydraulic subsystem of the pump unit at all load modes, and especially in lowload ones, of its flow duty, taking into account its design parameters and physical properties of the working fluid. Practical value. The objectoriented model of the CP is easily adapted to modern computeroriented interactive tools (20sim, Simulink, Pspice, Dymola, etc.) designed to simulate the modes of operation of mechatronic technical systems, which in turn reveals the way for calculation and optimization of the CP power characteristics as an element of a pumping station.

According to the results of studies of steady operation modes of electric pumping units of Ukrainian oil pumping stations, have been identified the main reasons of efficiency decrease of their performance during operation. It is determined that the normative documents regulating the efficient operation of pumping units of the main oil pipelines of Ukraine need to be improved. The assessment of energy efficiency potential of the main pumping unit on the example of pump НМ-3600-230 with synchronous electric drive СТД-2500-2 is carried out and the main ways to increase the efficiency of electricity use at oil pumping stations of main oil pipelines are analyzed. A complex mathematical-graphic model of a centrifugal pump and a synchronous electric motor is used to determine the parameters of the process of energy consumption and energy use of hydraulic and electrical subsystems of the pump unit, which allowed to take into account possible changes in equipment characteristics and modes of operation. The value of the relative specific consumption of electricity for pumping of working fluid for regulated and unregulated electric drive based on a complex electro-hydraulic model of the main pump was calculated, which allowed to promptly recalculate the characteristics of the centrifugal pump and electric motor taking into account their technical condition and to determine the potential of the pumping unit. It is determined that an effective way to reduce energy consumption by main pumping units is applying of a controlled electric drive at oil pumping stations, but the feasibility of such a measure requires additional technical and economical calculations. It is determined that to increase the efficiency of pumping units is necessary to avoid low flow-duty modes, to form maps of main oil pipelines in a way to ensure optimal in terms of energy efficiency operation modes of electro-hydraulic equipment of oil pumping stations and to change operation mode of pump and motor in terms of their technical condition.

БАГАТОЦІЛЬОВА ОПТИМІЗАЦІЯ УСТАЛЕНИХ РЕЖИМІВ РОБОТИЕЛЕКТРОПРИВОДНОЇ НАФТОПЕРЕКАЧУВАЛЬНОЇ СТАНЦІЇ І. І. Яремак, В. С. Костишин Івано-Франківський національний технічний університет нафти і газу вул. Карпатська, 15, м. Івано-Франківськ, 76019, Україна. Е-mail: yaremak_iryna@ukr.net За допомогою системного підходу синтезовано за критеріями ефективності та надійності цільові функції ба-гатоцільової задачі оптимізації режимів функціонування складного об'єкта керування -нафтоперекачувальної станції, у залежності від витрати робочої рідини її насосних агрегатів. Визначено вагові коефіцієнти важливості і кути «неузгодженості» локальних цільових функцій та відповідні екстремальні значення глобальної цільової функції в різних (зокрема маловитратних) режимах роботи. Для знаходження глобального оптимуму усталеного режиму роботи агрегатів залучено методи багатоцільової оптимізації. Встановлено поліоптимальне значення витратного навантаження електроприводного насосного агрегату та відповідної адитивної цільової функції за критеріями ефективності та надійності.Ключові слова: електричний двигун, відцентровий насос, нафтоперекачувальна станція, багатоцільова оп-тимізація, автоматичне керування, критерії оптимальності. МНОГОЦЕЛЕВАЯ ОПТИМИЗАЦИЯ УСТАНОВИВШИХСЯ РЕЖИМОВ РАБОТЫЭЛЕКТРОПРИВОДНОЙ НЕФТЕПЕРЕКАЧИВАЮЩЕЙ СТАНЦИИ И. И. Яремак, В. С. Костышин Ивано-Франковский национальный технический университет нефти и газа ул. Карпатская, 15, г. Ивано-Франковск, 76019, Украина. Е-mail: yaremak_iryna@ukr.net С помощью системного подхода синтезированы по критериям эффективности и надежности целевые функ-ции многоцелевой задачи оптимизации режимов функционирования сложного объекта управления -нефтепере-качивающей станции, в зависимости от расхода рабочей жидкости ее насосных агрегатов. Определены весовые коэффициенты важности и углы «несогласованности» локальных целевых функций и соответствующие экстре-мальные значения глобальной целевой функции в различных (в том числе малорасходных) режимах работы. Для нахождения глобального оптимума установившегося режима работы агрегатов привлечено методы много-целевой оптимизации. Установлено полиоптимальное значения расходной нагрузки электроприводного насос-ного агрегата и соответствующей аддитивной целевой функции по критериям эффективности и надежности.Ключевые слова: электрический двигатель, центробежный насос, нефтеперекачивающая станция, много-целевая оптимизация, автоматическое управление, критерии оптимальности.

According to the research results, the target functions of the task of optimizing the functioning of the units according to the criteria of the regime reliability, depending on the flow of the working fluid were synthesized, which made it possible to research the influence of the regime on the reliability of operation of electric and hydraulic subsystems of the pump unit. The extreme weight of local target functions of regime reliability of electric motor and the centrifugal pump in various (especially low-flow rate) operating modes are determined. It is proposed to optimize the operating modes of  pumping units of oil pumping station with the simultaneous use of the reliability criteria of electric drive and centrifugal pump. . It was established that the maximum values of reliability of electric drive and centrifugal pump are achieved at different values of the load, which requires the involvement of multi-criteria optimization methods. The problem of optimization of the established modes of the pump unit in the multicriteria setting, taking into account the technological limitations of its subsystems was formalized. The analysis of modern methods of solving the problem of multicriteria optimization of the steady modes of operation of pump units is carried out. The method of solving the multicriterion optimization problem is substantiated, which fully takes into account the influence of operation mode on the reliability of electric and hydraulic subsystems of pumping unit. It is revealed that the most appropriate method for solving this problem is the method of approaching an ideal (utopian) point in the criteria space. With this method, the desired ratio of criteria at the optimum point is the best. The value of the "agreed optimum" of liquid flow has been determined in order to choose the optimum for the reliability of operation mode of the pumping unit of oil pumping station.

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