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| Nonlinear dynamic characteristics analysis of the flow pressure of a centrifugal compressor based on the largest Lyapunov exponent |
| LIU Yan1,GAO Kuan1,HE Hao1,HUANG Yan1,XIAO Jun2 |
1.School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China;
2. State Key Laboratory of Compressor Technology, Hefei General Machinery Research Institute Co., Ltd., Hefei 230031, China |
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Abstract Based on the nonlinear dynamics theory, the characteristics of the largest Lyapunov exponent of the flow pressure at the outlet of a 800 kW centrifugal compressor is studied, which will be used for the surge identification of the centrifugal compressor. First, centrifugal compressor will enter surge state from stable state through transition process gradually by controlling two anti-surge valves. After analyzing the waveform and frequency spectrum of the flow pressure, the relationship between compressor working state and change rule of flow pressure is studied. Then, the largest Lyapunov exponent characteristics of flow pressure under different working conditions are aplied to identify the surge characteristics of centrifugal compressor. Finally, in order to verify the effectiveness and anti-interference of the proposed methods, random noise is added to the orignal flow pressure and then the largest Lyapunov exponent is analysed. The results show that when the centrifugal compressor works in a stable state, the fluctuation amplitude of the flow pressure of the centrifugal compressor is small, and the waveform is random. In this stage, the corresponding largest Lyapunov exponent is large and fluctuates violently, indicating that the system has certain chaotic characteristics. When the system enters the surge state, the fluctuation amplitude of the flow pressure increases and reaches the stability, showing a certain periodic characteristic.In surge state, the largest Lyapunov exponent is very small and close to zero, indicating that the periodicity of the system becomes strong. Further, after the introduction of interference signals, it is found that the largest Lyapunov exponent of dynamic pressure has strong anti-interference ability. Our resarch may will bring new ideas for realizing surge state identification and prediction and anti-surge control of centrifugal compressor.
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Received: 23 July 2020
Published: 28 December 2021
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