Dynamic Modeling and Combination Analysis of Plunger Valve Considering Both Flow and Actuator

Document Type : Regular Article


1 State Key Laboratory for Strength and Vibration of Mechanical Structures / Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, Xi’an Jiaotong University, Xi’an 710049, China

2 School of Science, Chang’an University, Xi’an 710064, China



The plunger valve has an important role in a large compressor system as its operating characteristics directly affect the aerodynamic boundary condition of the compressor equipment. In this study, dynamic modeling and analysis method of the plunger valve are proposed for an accurate control of the system. By considering the interaction between the dynamic flow in the valve and actuator action, a lumped parameter model for the fluid–structure interaction force and multibody dynamic model of the actuator are developed based on intrinsic correlation parameters. A combination analysis to simultaneously predict valve flow and actuator dynamic characteristics is proposed. The predicted results are in a good agreement with experimental data, which validates the proposed model and analysis method. The analysis results show that the coupling effect between the valve flow and actuator is significant and has an important role in valve control, particularly when the valve opening is smaller. Compared to the experimental data and computational fluid dynamics results, the presented methods are accurate for valve control and effective for prediction of flow rate. 


Main Subjects

Aboelela, M. A. S., Essa, M. E. S. M., & Hassan, M. A. M. (2018). Modeling and identification of hydraulic servo systems. International Journal of Modelling and Simulation, 38(3), 139–149. https://doi.org/10.1080/02286203.2017.1405713
Ferrari, A., Pizzo, P., & Rundo, M. (2018). Modelling and experimental studies on a proportional valve using an innovative dynamic flow-rate measurement in fluid power systems. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 232(13), 2404–2418. https://doi.org/10.1177/0954406217721259
Finnemore, E. J., & Franzini, J. B. (2002). Fluid mechanics with engineering applications. McGraw-Hill Education. https://www.accessengineeringlibrary.com/content/book/9780072432022
Gan, G., & Riffat, S. B. (1996). Measurement and computational fluid dynamics prediction of diffuser pressure-loss coefficient. 15. https://doi.org/10.1016/0306-2619(95)00078-X
Gupta, R. K., Kumar, L., & Mandal, N. P. (2019). Displacement control of an electro- hydraulic actuator using proportional solenoid valve. International Conference on Computing, Power and Communication Technologies (GUCON).  IEEE, 2019, 673-677. https://ieeexplore.ieee.org/abstract/document/8940360.
Jobson, D. A. (1955). On the Flow of a Compressible Fluid through Orifices. Proceedings of the Institution of Mechanical Engineers, 169(1), 767–776. https://doi.org/10.1243/PIME_PROC_1955_169_077_02
Karunanidhi, S., & Singaperumal, M. (2010). Design, analysis and simulation of magnetostrictive actuator and its application to high dynamic servo valve. Sensors and Actuators A: Physical, 157(2), 185–197. https://doi.org/10.1016/j.sna.2009.11.014
Kim, W., Won, D., Shin, D., & Chung, C. C. (2012). Output feedback nonlinear control for electro-hydraulic systems. Mechatronics, 22(6), 766–777. https://doi.org/10.1016/j.mechatronics.2012.03.008
Morimune, T., Hirayama, N., & Maeda, T. (1980). Study of compressible high speed gas flow in piping system: 1st report, piping systems with bends or elbows. Bulletin of JSME, 23(186), 1997–2004. https://doi.org/10.1299/jsme1958.23.1997
Naseradinmousavi, P., & Nataraj, C. (2011). Nonlinear mathematical modeling of butterfly valves driven by solenoid actuators. Applied Mathematical Modelling, 35(5), 2324–2335. https://doi.org/10.1016/j.apm.2010.11.036
Prasad, V., Gupta, M. V., & Chaurasiya, M. P. K. (2011). Numerical derivation of flow characteristics of plunger valve. FMFP 2014. https://www.researchgate.net/publication/318653729_NUMERICAL_DERIVATION_OF_FLOW_CHARACTERISTICS_OF_PLUNGER_VALVE
Saha, B. K., Chattopadhyay, H., Mandal, P. B., & Gangopadhyay, T. (2014). Dynamic simulation of a pressure regulating and shut-off valve. Computers & Fluids, 101, 233–240. https://doi.org/10.1016/j.compfluid.2014.06.011
Shao, J., Chen, L., & Sun, Z. (2005). The application of fuzzy control strategy in electro-hydraulic servo system. IEEE International Conference Mechatronics and Automation. https://doi.org/10.1109/ICMA.2005.1626871
Ulanicki, B., Picinali, L., & Janus, T. (2015). Measurements and analysis of cavitation in a pressure reducing valve during operation – a case study. Procedia Engineering, 119, 270–279. https://doi.org/10.1016/j.proeng.2015.08.886
Valiantzas, J. D. (2008). Explicit power formula for the darcy–weisbach pipe flow equation: application in optimal pipeline design. Journal of Irrigation and Drainage Engineering, 134(4), 454–461. https://doi.org/10.1061/(ASCE)0733-9437(2008)134:4(454)
Wang, G., Zhang, R., Wang, J., Wang, W., & Xie, M. (2016). Design and analysis of plunger valve based on ansys. Proceedings of the 2016 International Conference on Innovative Material Science and Technology (IMST 2016), Shenzhen, China. https://doi.org/10.2991/imst-16.2016.73
Wang, Y. C., Li, C., Jiang, J., Zhang, S. S., Li, Y. H., & Ying, R. (2018). Numerical simulation of plunger valve of colliding energy dissipation in the condition of low backpressure and high pressure difference. IOP Conference Series: Earth and Environmental Science, 163, 012096. https://doi.org/10.1088/1755-1315/163/1/012096
Xiong, S., Wilfong, G., & Lumkes, J. (2019). Development of a novel high-speed actuation mechanism using a magneto-rheological fluid clutch and its application to a fluid control valve. Journal of Intelligent Material Systems and Structures, 30(16), 2502–2516. https://doi.org/10.1177/1045389X19862368
Yao, B., Bu, F., & Chiu, G. T. C. (2001). Non-linear adaptive robust control of electro-hydraulic systems driven by double-rod actuators. International Journal of Control, 74(8), 761–775. https://doi.org/10.1080/002071700110037515
Yao, B., Bu, F., Reedy, J., & Chiu, G. T.-C. (2000). Adaptive robust motion control of single-rod hydraulic actuators: Theory and experiments. IEEE/ASME Transactions on Mechatronics, 5(1), 79–91. https://doi.org/10.1109/3516.828592
Yu, J., & Yu, S. (2015). Numerical and experimental research of flow and sound fields in an axial-flow check valve and its optimization. Advances in Mechanical Engineering, 7(11), 1687814015619827. https://doi.org/10.1177/1687814015619827
Zheng, S., Luo, M., Xu, K., Li, X., Bie, Q., Liu, Y., Yang, H., & Liu, Z. (2019). Case study: Erosion of an axial flow regulating valve in a solid-gas pipe flow. Wear, 434–435, 202952. https://doi.org/10.1016/j.wear.2019.202952