Abstract
A new mathematical model is presented for the analysis and diagnosis of a high-pressure reciprocating pump system with three cylinders. The kinematic and hydrodynamic behaviors of the pump system are represented by the piston displacements, volume flow rates and pressures in its components, which are expressed as functions of the crankshaft angle. The flow interaction among the three cylinders, which was overlooked in the previous models, is considered in this model and its effect on the cylinder pressure profiles is investigated. The tuning parameters in the mathematical model are selected, and their values are adjusted to match the simulated and measured cylinder pressure profiles in each cylinder in a normal state. The damage parameter is selected in an abnormal state, and its value is adjusted to match the simulated and measured pressure profiles under the condition of leakage in a valve. The value of the damage parameter over 300 cycles is calculated, and its probability density function is obtained for diagnosis and prognosis on the basis of the probabilistic feature of valve leakage.
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References
Y. J. An and B. R. Shin, Numerical investigation of suction vortices behavior in centrifugal pump, JMST, 25 (3) (2011) 767–772.
W. Wan and W. Huang, Investigation on complete characteristics and hydraulic transient of centrifugal pump, JMST, 25 (10) (2011) 2583–2590.
S. Y. Lee, Acoustic diagnosis of a pump by using neural network, JMST, 20 (12) (2006) 2079–2086.
H. M. Chae and C. N. Kim, A numerical study with FSI mode on the characteristics of pressure fluctuation and discharge valve motion in rotary compressors with single and dual muffler, International J. of Precision Engineering and Manufacturing, 11 (4) (2010) 589–596.
W. N. Yoon, M. S. Kang, N. K. Jung, J. S. Kim and B. H. Choi, Failure analysis of the defect-induced blade damage of a compressor in the gas turbine of a cogeneration plant, International J. of Precision Engineering and Manufacturing, 13 (5) (2012) 717–722.
Y. Arai, A. Inada, J. Yang and W. Gao, A high speed and compact system for profile measurement of scroll compressors, International J. of Precision Engineering and Manufacturing, 10 (5) (2010) 27–32.
T. Khan and P. Ramuhalli, A recursive Bayesian estimation method for solving electromagnetic nondestructive evaluation inverse problems, IEEE Transactions on Magnetics, 44 (7) (2008) 1845–1855.
J. J. Shu, C. R. Burrow and K. A. Edge, Pressure pulsations in reciprocating pump piping systems-Part 1: modeling, Proc. of the Institution of Mechanical Engineers, Part 1: J. of Systems and Control Engineering, 211 (3) (1997) 229–235.
D. Jarell, D. Sisk and L. Bond, Prognostics and condition based maintenance (CBM)-A scientific crystal ball, Pacific Northwest and National Laboratory, Richland, WA, International Congress on Advanced Nuclear Power Plants, 194 (2002) 194–1-7.
D. N. Johnston, Numerical modelling of reciprocating pumps with self-acting valves, Proceedings of the Institution of Mechanical Engineers, Part I: J. of Systems and Control Engineering, 205 (2) (1991) 87–96.
P. J. Singh and N. K. Madavan, Complete analysis and simulation of reciprocating pumps including system piping, Proceedings of the Fourth International Pump Symposium (1987) 55–73.
T. Henshaw, Power pump valve dynamics-a study of the velocity and pressure distribution in outward-flow bevelface and flat-face power pump valves, Proceedings of 25th International Conference Pump Users Symposium (2009) 23–32.
S. D. Able, Reciprocating pump acceleration head, Proceedings of ASME FEDSM01–2001 ASME Fluids Engineering Division Summer Meeting, New Orleans (2001) 1–7.
V. E. Shcherba, E. A. Pavlyuchenko and A. K. Kuzhbanov, Parametric analysis of operation of pumping section of reciprocating pump compressor with gas damper, Chemical and Petroleum Engineering, 50 (1–2) (2014) 33–37.
J. J. Rudolf, T. R. Heidrick, B. A. Fleck and V. S. V. Rajan, Optimum design parameters for reciprocating pumps used in natural gas wells, J. of Energy Resources Technology, 127 (4) (2005) 285–292.
F. M. White, Fluid Mechanics, McGraw-Hill, New York, USA (1994).
A. G. Erdman and G. N. Sandor, Mechanism Design, Prentice Hall, New Jersey, USA (1991).
Y. Cengel and J. Cimbala, Fluid Mechanics: Fundamentals and Applications, McGraw-Hill, New York, USA (2013).
D. McCloy and H. R. Martin, Control of Fluid Power: Analysis and Design, Ellis Horwood Ltd., New York, USA (1980).
D. An and J. H. Choi, Improved MCMC method for parameter estimation based on marginal probability density function, JMST, 27 (6) (2013) 1771–1779.
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Jong Kyeom Lee received the B.S. in the Division of Mechanical Engineering from Ajou University in South Korea in 2014. He is currently a combined master's and doctoral program candidate at the Multiscale Noise and Vibration Lab. at Ajou University. His research interests are machine diagno-stics and optimal design by using statistical methods.
Jun Ki Jung received his B.S. in the Division of Mechanical Engineering from Ajou University in South Korea in 2013. He is currently a Master's student at Ajou University. His research interest is machine diagnostics.
Jangbom Chai is a Professor in the Department of Mechanical Engineering at Ajou University. He has the B.S. and the M.S. in Mechanical Engineering from Seoul National University in Korea in 1984 and 1986, respectively. He obtained the Ph.D. in Mechanical Engineering from MIT in 1993. He received the O. Hugo Schuck Best Paper Award from American Automatic Control Council and the awards from Korean Nuclear Society and Korean Society of Pressure Vessel and Piping.
Jin Woo Lee is an Associate Professor of Mechanical Engineering at Ajou University. His research interests are in the area of vibrations, acoustics, topology optimization based design and fluidstructure interactions of microcantielvers for RF-MEMS and AFM. He received the Ph.D. in School of Mechanical and Aerospace Engineering from Seoul National University in South Korea in 2003.
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Lee, J.K., Jung, J.K., Chai, JB. et al. Mathematical modeling of reciprocating pump. J Mech Sci Technol 29, 3141–3151 (2015). https://doi.org/10.1007/s12206-015-0713-x
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DOI: https://doi.org/10.1007/s12206-015-0713-x