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Research Papers

Spectral Analysis of Electrohydraulic System

[+] Author and Article Information
Yongsoon Yoon

Advanced Dynamic Systems and Controls,
Cummins Inc.,
Columbus, IN 47201
e-mail: yongsoon.yoon@cummins.com

Zongxuan Sun

Department of Mechanical Engineering,
University of Minnesota,
Minneapolis, MN 55455
e-mail: zsun@umn.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 10, 2015; final manuscript received August 29, 2016; published online November 10, 2016. Assoc. Editor: Evangelos Papadopoulos.

J. Dyn. Sys., Meas., Control 139(2), 021005 (Nov 10, 2016) (9 pages) Paper No: DS-15-1313; doi: 10.1115/1.4034780 History: Received July 10, 2015; Revised August 29, 2016

This paper presents spectral analysis of an electrohydraulic system. For a linear system, spectral analysis using a frequency response function (FRF) offers great insight into system dynamics and controls. The objective of this paper is to extend such benefits to the nonlinear electrohydraulic system. To achieve the objective, generalized frequency response functions (GFRFs) and output spectra of the electrohydraulic system are analyzed in frequency domain. In this paper, two different approaches are proposed to derive the GFRFs. In the first approach, the analytic GFRFs are derived from physical dynamics of the electrohydraulic system. Thus, the dynamic features of the electrohydraulic system can be explored with respect to the physical parameters explicitly in frequency domain. In the second approach, the experimental GFRFs are identified from frequency response data. Although the explicit relationship with the physical parameters is not available, they can predict the output spectrum without a priori knowledge of the electrohydraulic system. The proposed approaches are applied to derive the GFRFs analytically and experimentally for spectral analysis of an electrohydraulic system. Spectral analysis reveals the critical dynamic features of the electrohydraulic system in frequency domain, and it turns out to be crucial for system design, identification, and controls of the electrohydraulic system.

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References

Figures

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Fig. 1

Schematics of the electrohydraulic system for camless engine valve actuation

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Fig. 2

Stabilized electrohydraulic system

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Fig. 3

Block-oriented nonlinear models: (a) Wiener model and (b) Hammerstein model

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Fig. 4

Magnitude of analytic GFRFs: (a) first‐order, (b) second‐order, and (c) third‐order

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Fig. 5

Output spectrum: solid—simulation and dashed—estimation

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Fig. 6

Normalized output spectrum by input amplitude at fundamental frequency: left—simulation and right—estimation

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Fig. 7

Orifice flow rate function depending on spool position and cylinder pressure: spool valve efficiency decreases as the working range increases

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Fig. 8

Electrohydraulic system for camless engine valve actuation

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Fig. 10

Magnitude of experimental GFRFs of the Wiener model: (a) first‐order, (b) second‐order, and (c) third‐order

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Fig. 11

Magnitude of experimental GFRFs of the Hammerstein model: (a) first‐order, (b) second‐order, and (c) third‐order

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Fig. 9

Linear block identification

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Fig. 12

Output spectrum: solid—measurement, dashed—Wiener model, and dashed dotted—Hammerstein model

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