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Open AccessArticle

Numerical Study on the Dynamic Behavior of a Francis Turbine Runner Model with a Crack

Center for Industrial Diagnostics and Fluid Dynamics (CDIF), Polytechnic University of Catalonia (UPC), Av. Diagonal, 647, ETSEIB, CO 08028 Barcelona, Spain
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Energies 2018, 11(7), 1630; https://doi.org/10.3390/en11071630
Received: 30 April 2018 / Revised: 14 June 2018 / Accepted: 20 June 2018 / Published: 22 June 2018
Crack appearance in the blade is the most common type of fatigue damage in Francis turbines. However, it is sometimes difficult to detect cracks in time using the current monitoring system, even when they are very large. To better monitor cracks, it is imperative to research the effect of a crack on the dynamic behavior of a Francis turbine. In this paper, the dynamic behavior of a Francis turbine runner model with a crack has been researched numerically. The intact numerical model was first validated by the experimental data available. Then, a crack was created at the intersection line between one blade and the crown. The change in dynamic behavior with increasing crack length has been investigated. Crack-induced vibration localization theory has been used to explain the dynamic behavior changes due to the crack. Modal analysis showed that the adopted theory could basically explain the modal behavior change due to the crack. The FFT results of the modal shapes and the localization factors (LF) has been used to explain the forced response changes due to the crack. Based on the above analysis, the challenge of crack monitoring has been analyzed. This research provides some references for more advanced monitoring technologies. View Full-Text
Keywords: Francis turbine; crack; dynamic behavior; vibration localization; lumped parameter mode; localization factor; forced response Francis turbine; crack; dynamic behavior; vibration localization; lumped parameter mode; localization factor; forced response
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Zhang, M.; Valentin, D.; Valero, C.; Egusquiza, M.; Zhao, W. Numerical Study on the Dynamic Behavior of a Francis Turbine Runner Model with a Crack. Energies 2018, 11, 1630.

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