# Науковий вісник НГУ

## Mathematical model of reliability and efficiency of pumping unit of an oil pumping station

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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.

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:

1. Gulich, J. F., 2014. Centrifugal Pumps. 3rd ed. Springer-Verlag Berlin Heidelberg. ISBN 978-3-642-40114-5.

2. Yin Luo, Shouqi Yuan, Hui Sun and Yihang Guo, 2015. Energy-saving control model of inverter for centrifugal pump systems. Advances in Mechanical Engineering, 7(7), рр. 1–12.

3. Marchi1, A., Simpson1, A. R. and Ertugrul, N., 2012. Assessing variable speed pump efficiency in water distribution systems, Drinking Water Engineering and Science, 5, рр. 15–21.

4. Shabanov, V. A. and Bondarenko, O. V., 2012. Objective functions and the optimization criteria pumping oil by pipeline with variable frequency drives main pumps”, Electronic scientific journal. Neftegazovoe delo - Oil and Gas Business, 4, pp. 10‒17 [pdf]. Available at: <http://www.ogbus.ru/authors/Shabanov/Shabanov_12. рdf> [Accessed 10 January 2017].

5. Korshak, A. A. and Muftahov, Y. M., 2005. Technology calculation of the main oil pipeline. Ufa: DizaynPoligrafServis.

6. Kitaiev, A. V. and Glukhova, V. I., 2010. Analysis of the synchronous motor with nonsalient pole rotor according to catalog. Automation. Automation. Electrotechnical complexes and systems, 1(25), pp. 18‒25.

7. Kostyshyn, V. S., 2000. Simulation modes of centrifugal pumps based on electrohydraulic analogy. Ivano-Frankivsk: Ivano-Frankivsk National Technical University of Oil and Gas.

8. Kostyshyn, V. S. and Kurliak, P. O., 2015. Simulation of performance characteristics of centrifugal pumps by the electro-hydrodynamic analogy method. Journal of Hydrocarbon Power Engineering, 2(1), рp. 24‒31.

9. Pivnyak, G. G., Zhezhelenko, I. V., Papaika, Y. A. and Nesen, L. I., 2016. Transients in Electric Power Supply Systems. 5th ed. Trans Tech Publications Ltd, Switzerland.

10. Ahonen, T., 2011. Monitoring of centrifugal pump operation by a frequency converter. Doctor of Science (Technology). Lappeenranta University of Technology, Finland. ISBN 978-952-265-075-7.

Files:
 5_2017_Kostyshyn 2017-11-15  2.18 MB  661

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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