Mathematical model of reliability and efficiency of pumping unit of an oil pumping station
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- Category: Geotechnical and mining mechanical engineering, machine building
- Last Updated on 17 November 2017
- Published on 17 November 2017
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Authors:
V.S.Kostyshyn, Dr. Sc. (Tech.), Prof., Ivano-Frankivsk National Technical University of Oil and Gas, Head of the Department of Power Supply and Electrical Equipment of Industrial Enterprises, Ivano-Frankivsk, Ukraine.
I.I.Yaremak, Ivano-Frankivsk National Technical University of Oil and Gas, Assistant of the Department of Power Supply and Electrical Equipment of Industrial Enterprises, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract:
Purpose. Developing a mathematical model for the efficiency and reliability of the pumping unit (PU) of the oil pumping station (OPS) on the basis of the per-unit system and the methodology of the system approach which contains the electric, hydraulic and mechanical subsystems and reflects the energy inputs and outputs of the centrifugal pump (CP) and synchronous motor (SM).
Methodology. Mathematical models of PU of OPS are developed which are synthesized on the basis of a system approach taking into account the impact of their operating modes on reliability and efficiency parameters of the SM and CP. This allows determining the optimal operation modes of PU OPS and to develop measures for their implementation.
Findings. Based on a systematic approach a model which is a unified system of subsystems with different physical nature was formed. The mathematical model of efficiency and reliability parameters of SM and CP was formalized as polynomials and values of their coefficients were calculated. It was clarified that the extreme values of efficiency and reliability are achieved for different flow rate values. That requires the use of multi-objective optimization studies.
Originality. Based on the systematic approach, a mathematical model of PU of OPS was formalized which makes it possible to take into account the effect of changes of operating mode of PU on performance and reliability parameters of SM and CP. It is clarified that the extreme values of efficiency and reliability parameters of SM and CP are achieved for different flow rate values.
Practical value. Mathematical models that allow estimating the impact of changes of flow rate of OPS on the performance and reliability parameters of SM and CP to select the best operating mode without expensive field experiments are developed.
References:
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