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Entropy 2015, 17(12), 7888-7899; doi:10.3390/e17127848

Identify the Rotating Stall in Centrifugal Compressors by Fractal Dimension in Reconstructed Phase Space

School of Energy and Power Engineering, Xi’an Jiaotong University, 710049 Xi’an, China
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Author to whom correspondence should be addressed.
Academic Editors: J. A. Tenreiro Machado and António M. Lopes
Received: 28 August 2015 / Revised: 26 October 2015 / Accepted: 16 November 2015 / Published: 30 November 2015
(This article belongs to the Special Issue Complex and Fractional Dynamics)
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Abstract

Based on phase space reconstruction and fractal dynamics in nonlinear dynamics, a method is proposed to extract and analyze the dynamics of the rotating stall in the impeller of centrifugal compressor, and some numerical examples are given to verify the results as well. First, the rotating stall of an existing low speed centrifugal compressor (LSCC) is numerically simulated, and the time series of pressure in the rotating stall is obtained at various locations near the impeller outlet. Then, the phase space reconstruction is applied to these pressure time series, and a low-dimensional dynamical system, which the dynamics properties are included in, is reconstructed. In phase space reconstruction, C–C method is used to obtain the key parameters, such as time delay and the embedding dimension of the reconstructed phase space. Further, the fractal characteristics of the rotating stall are analyzed in detail, and the fractal dimensions are given for some examples to measure the complexity of the flow in the post-rotating stall. The results show that the fractal structures could reveal the intrinsic dynamics of the rotating stall flow and could be considered as a characteristic to identify the rotating stall. View Full-Text
Keywords: centrifugal compressor; the rotating stall; phase space reconstruction; fractal dynamics centrifugal compressor; the rotating stall; phase space reconstruction; fractal dynamics
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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. (CC BY 4.0).

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Wang, L.; Zhang, J.; Zhang, W. Identify the Rotating Stall in Centrifugal Compressors by Fractal Dimension in Reconstructed Phase Space. Entropy 2015, 17, 7888-7899.

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