Transient chaos and crisis phenomena in butterfly valves driven by solenoid actuators

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• 作者：Peiman Naseradinmousavi¹ ; ^{pnaser01@villanova.edu} ; C. Nataraj ; ^{nataraj@villanova.edu}
• 关键词：Chaos ; Crisis ; Nonlinear modeling ; Nonlinear dynamics ; Butterfly valve ; Solenoid actuator ; Smart valves
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：November, 2012
• 卷：17
• 期：11
• 页码：4336-4345
• 文件大小：741 K

摘要

Chilled water systems used in the industry and on board ships are critical for safe and reliable operation. It is hence important to understand the fundamental physics of these systems. This paper focuses in particular on a critical part of the automation system, namely, actuators and valves that are used in so-called 鈥渟mart valve鈥?systems. The system is strongly nonlinear, and necessitates a nonlinear dynamic analysis to be able to predict all critical phenomena that affect effective operation and efficient design. The derived mathematical model includes electromagnetics, fluid mechanics, and mechanical dynamics. Nondimensionalization has been carried out in order to reduce the large number of parameters to a few critical independent sets to help carry out a broad parametric analysis. The system stability analysis is then carried out with the aid of the tools from nonlinear dynamic analysis. This reveals that the system is unstable in a certain region of the parameter space. The system is also shown to exhibit crisis and transient chaotic responses; this is characterized using Lyapunov exponents and power spectra. Knowledge and avoidance of these dangerous regimes is necessary for successful and safe operation.