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Mathematical Problems in Engineering
Volume 2015, Article ID 532684, 11 pages
Research Article

Spatial Information Entropy and Its Application in the Degradation State Identification of Hydraulic Pump

Shijiazhuang Mechanical Engineering College, No. 97, Heping West Road, Shijiazhuang 050003, China

Received 18 April 2015; Accepted 25 May 2015

Academic Editor: Michael Small

Copyright © 2015 Yu-kui Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The degradation state identification is a key step of the condition based maintenance of hydraulic pump. In this paper, spatial information entropy (SIE) as a novel degradation feature of pump is proposed based on the study of permutation entropy (PE) algorithm. The fundamental principle of SIE is introduced and contrasted with PE. Different parameters used in the calculation of SIE are discussed and meaningful conclusion is gained. The results of simulation analysis not only checked the rationality of SIE but also demonstrated the availability and superiority of adopting SIE as the degradation feature. Based on simulation analysis, SIE and PE are united and used as degradation feature vector of pump. FCM algorithm is employed to diagnose the degradation state of pump. The analysis results of practical signal testified the rationality and availability of the proposed method.