Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

doi:10.1016/j.cjche.2016.01.015

Chinese Journal of Chemical Engineering ›› 2016, Vol. 24 ›› Issue (6): 737-748.DOI: 10.1016/j.cjche.2016.01.015

• 第25届中国过程控制会议专栏 • 上一篇下一篇

Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

Hongwei Li, Junpeng Liu, Yunlong Zhou, Bin Sun

School of Energy and Power Engineering, Northeast Dianli University, Jilin 132012, China

收稿日期:2015-06-15 修回日期:2015-09-02 出版日期:2016-06-28 发布日期:2016-07-12
通讯作者: Hongwei Li
基金资助:
Supported by the National Natural Science Foundation of China (51406031), Jilin City Science and Technology Plan Project (201464055) and Jilin Province Education Department Science Research Project (2015-243).

Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

Hongwei Li, Junpeng Liu, Yunlong Zhou, Bin Sun

School of Energy and Power Engineering, Northeast Dianli University, Jilin 132012, China

Received:2015-06-15 Revised:2015-09-02 Online:2016-06-28 Published:2016-07-12
Contact: Hongwei Li
Supported by:
Supported by the National Natural Science Foundation of China (51406031), Jilin City Science and Technology Plan Project (201464055) and Jilin Province Education Department Science Research Project (2015-243).

摘要/Abstract

摘要： Gas-liquid two-phase flow is complex and has uncertainty in phase interfaces, which make the two-phase flow look very complicated. Even though the flow behavior (e.g. coalescence, crushing and separation) of single bubble or bubble groups in the liquid phase looks random, combining some established characteristics and methodologies can find regularities among the randomness. In order to excavate the nonlinear dynamic characteristics of gas-liquid two-phase flow, the authors developed an improved matrix pencil (IMP) method to analyze the pressure difference signals of the two-phase flow. This paper elucidates the influence of signal length on MP calculation results and the anti-noise-interference ability of the MP method. An IMP algorithm was applied to the fluctuation signals of gas-liquid two-phase flow to extract themode frequency and damping ratio,which were combined with the component energy index (CEI) entropy to identify the different flow patterns. It is also found that frequency, damping ratio, CEI entropy and stability diagram together not only identify flow patterns, but also provide a new way to examine and understand the evolution mechanism of physical dynamics embedded in flow patterns. Combining these characteristics and methods, the evolution of the nonlinear dynamic physical behavior of gas bubbles is revealed.

关键词: Matrix pencil (MP) method, Component energy index (CEI), Stability diagram, Flow pattern identification, Flow dynamics

Abstract: Gas-liquid two-phase flow is complex and has uncertainty in phase interfaces, which make the two-phase flow look very complicated. Even though the flow behavior (e.g. coalescence, crushing and separation) of single bubble or bubble groups in the liquid phase looks random, combining some established characteristics and methodologies can find regularities among the randomness. In order to excavate the nonlinear dynamic characteristics of gas-liquid two-phase flow, the authors developed an improved matrix pencil (IMP) method to analyze the pressure difference signals of the two-phase flow. This paper elucidates the influence of signal length on MP calculation results and the anti-noise-interference ability of the MP method. An IMP algorithm was applied to the fluctuation signals of gas-liquid two-phase flow to extract themode frequency and damping ratio,which were combined with the component energy index (CEI) entropy to identify the different flow patterns. It is also found that frequency, damping ratio, CEI entropy and stability diagram together not only identify flow patterns, but also provide a new way to examine and understand the evolution mechanism of physical dynamics embedded in flow patterns. Combining these characteristics and methods, the evolution of the nonlinear dynamic physical behavior of gas bubbles is revealed.

Key words: Matrix pencil (MP) method, Component energy index (CEI), Stability diagram, Flow pattern identification, Flow dynamics

Hongwei Li, Junpeng Liu, Yunlong Zhou, Bin Sun. Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method[J]. Chinese Journal of Chemical Engineering, 2016, 24(6): 737-748.

Hongwei Li, Junpeng Liu, Yunlong Zhou, Bin Sun. Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method[J]. Chin.J.Chem.Eng., 2016, 24(6): 737-748.

参考文献

[1] L. Yang, G.L. Ding, D.P. Huang, C.L. Zhang, Review of flow and heat transfer of supercritical carbon dioxide, J. Refrig. 2(2003) 51-56(in Chinese).

[2] G.W. Chen, Q. Yuan, Micro-chemical technology, J. Chem. Ind. Eng. (China) 54(4) (2003) 427-433(in Chinese).

[3] N.D. Jin, X.B. Nie, Y.Y. Ren, X.B. Liu, Characterization of oil water two phase flow patterns based on nonlinear time series analysis, Flow Meas. Instrum. 14(4-5) (2003) 169-175.

[4] N.D. Jin, X.B. Nie, J. Wang, Y.Y. Ren, Flow pattern identification of oil-water two phase flow based on kinematic wave theory, Flow Meas. Instrum. 14(4-5) (2003) 177-182.

[5] T.T. Zhou, N.D. Jin, Z.K. Gao, Y.B. Luo, Limited penetrable visibility graph for establishing complex network from time series, Acta Phys. Sin. 61(3) (2012) 030506(in Chinese).

[6] J.Y. Zhao, N.D. Jin, Dynamic characteristics of multivariate graph centrobaric trajectory phase space of two-phase flow, Acta Phys. Sin. 61(9) (2012) 094701(in Chinese).

[7] Z.K. Gao, N.D. Jin, Flow pattern identification and nonlinear dynamics of gas-liquid two-phase flow in complex networks, Phys. Rev. E 79(2009) 066303.

[8] B. Sun, E.P. Wang, Y. Ding, H.Z. Bai, Y.M. Huang, Time-frequency signal processing for gas-liquid two phase flow through a horizontal venturi based on adaptive optimal-kernel theory, Chin. J. Chem. Eng. 19(2) (2011) 243-252.

[9] M. Du, N.D. Jin, Z.K. Gao, Z.Y. Wang, L.S. Zhai, Flow pattern and water holdup measurements of vertical upward oil-water two-phase flow in small diameter pipes, Int. J. Multiphase Flow 41(2012) 91-105.

[10] G.Manfredo, Flow pattern identification in gas-liquid flows bymeans of phase density imaging, Int. J. Multiphase Flow 51(2013) 1-10.

[11] J.R. van Ommen, S. Sasic, J. van der Schaaf, Time-series analysis of pressure fluctuations in gas-solid fluidized beds-A review, Int. J. Multiphase Flow 37(5) (2011) 403-428.

[12] H.W. Li, Y.L. Zhou, Y.D. Hou, B. Sun, Flow pattern map and time-frequency spectrum characteristics of nitrogen-water two-phase flow in small vertical upward noncircular channels, Exp. Thermal Fluid Sci. 54(2014) 47-60.

[13] B. Sun, H.J. Zhang, Research on extract and filter of dynamic signal of two-phase flow based on HHT, Chin. J. Sensors Acurators 20(4) (2007) 862-865(in Chinese).

[14] H. Ding, Z.Y. Huang, H.Q. Li, Property of differential pressure fluctuation signal of gas-liquid two-phase flow based on Hilbert-Huang transform, J. Chem. Ind. Eng. (China) 56(12) (2005) 2294-2302(in Chinese).

[15] H.W. Li, Y.L. Zhou, X. Liu, B. Sun, Stochastic subspace parameter identification and stability diagram of gas-liquid two-phase flow patterns, Acta Phys. Sin. 61(3) (2012) 1-9(030508 in Chinese).

[16] J.J. Sanchez-Gasca, J.H. Chow, Performance comparison of three identification methods for the analysis of electromechanical oscillations, IEEE Trans. Power Syst. 14(3) (1999) 995-1002.

[17] Y. Hua, Parameter estimation of exponentially damped sinusoids using higher order statistics and matrix pencil, IEEE Trans. Signal Process. 39(7) (1991) 1691-1692.

[18] B. Tan, Y. Hou, H. Zheng, C.M. Pei, An improved matrix pencil algorithm for modal parameter identification, J. Northwest. Polytech. Univ. 32(3) (2014) 486-490(in Chinese).

[19] J. Chang, Q.W. Zhang, L.M. Sun, Application of stabilization diagram for modal parameter identification using stochastic subspace method, Eng. Mech. 24(2) (2007) 39-44(in Chinese).

[20] K. Li, X.Y. Li, R. Zhao, Detection of subsynchronous oscillation in HVDC transmission system based on improvedmatrix pencilmethod, Power Syst. Technol. 36(4) (2012) 128-132(in Chinese).

[21] N.D. Jin, G.B. Zheng, W.P. Chen, Chaotic recurrence characteristics analysis of conductance fluctuating signal of gas/liquid two-phase flow, J. Chem. Ind. Eng. (China) 58(5) (2007) 1172-1179(in Chinese).

[22] S.Y. Qu, N.S. Qu, Determining for dynamic instability domain of spatial frame structures, Chin. J. Appl. Mech. 16(2) (1999) 108-112(in Chinese).

[23] Y. Zhang, Z. Zhang, X. Xu, H. Hua, Modal parameter identification using response data only, J. Sound Vib. 282(1-2) (2005) 367-380.

[24] R.O. Duda, P.E. Hart, Pattern classification and scene analysis, John Wiley & Sons, New York, 1973.

[25] H.W. Li, Y.L. Zhou, B. Sun, Multi-scale chaotic analysis of the characteristics of gas-liquid two-phase flow patterns, Chin. J. Chem. Eng. 18(5) (2010) 880-888.

[26] H.W. Li, J.P. Liu, T. Li, Y.L. Zhou, B. Sun, Analysis of dynamic of two-phase flow in small channel based on phase space reconstruction combined with data reduction sub-frequency band wavelet, Chin. J. Chem. Eng. 23(2015) 1017-1026.

Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

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[2]	孙斌, 王二朋, 丁洋, 白宏震, 黄咏梅. Time-Frequency Signal Processing for Gas-Liquid Two Phase Flow Through a Horizontal Venturi Based on Adaptive Optimal-Kernel Theory[J]. , 2011, 19(2): 243-252.