The Role of Resonance in Elementary Hydraulic Switching Control

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Abstract

Elementary hydraulic switching control aiming at energy efficiency can be done by connecting a hydraulic cylinder alternately with a high pressure and a tank line in a pulse width controlled mode. The switching frequency is crucial for the energetic efficiency as well as for the speed fluctuation of the generated motion. This paper clarifies why and in which way the efficiency optimal switching frequency is related to some resonance condition. A simple nonlinear, nondimensional, second order differential equation is derived which represents the dynamic behavior of the drive system. It is investigated by asymptotic expansion methods. If valves with a relatively small nominal flow rate are used the optimal frequency is close to the natural frequency of the load oscillating in the hydraulic cylinder's compressible hydraulic fluid. Larger valves enable higher efficiency and weaken the role of resonance. The optimal frequency becomes smaller.
Original languageEnglish
Pages (from-to)469-480
Number of pages12
JournalProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Eng.
Volume217
Issue number6
DOIs
Publication statusPublished - 2003

Fields of science

  • 203 Mechanical Engineering
  • 203015 Mechatronics

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