Abstract
Guide vane cascade of a low speed number Francis turbine is developed for the experimental investigations. The test setup is able to produce similar velocity distributions at the runner inlet as that of a reference prototype turbine. Standard analytical methods are used to design the reference turbine. Periodic walls of flow channel between guide vanes are identified as the starting profile for the boundary of the cascade. Two alternative designs with three guide vanes and two guide vanes, without runner, are studied. A new approach, for the hydraulic design and optimization of the cascade test setup layout, is proposed and investigated in details. CFD based optimization methods are used to define the final layout of the test setup. The optimum design is developed as a test setup and experimental validation is done with PIV methods. The optimized design of cascade with one guide vane between two flow channels is found to produce similar flow conditions to that in the runner inlet of a low speed number Francis turbine.
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DARMAWI, SIPAHUTAR R. and BERNAS S. M. et al. Renewable energy and hydropower utilization tendency worldwide[J]. Renewable and Sustainable Energy Reviews, 2013, 17: 213–215.
STERNBERG R. Hydropower’s future, the environment, and global electricity systems[J]. Renewable and Sustainable Energy Reviews, 2010, 14(2): 713–723.
FLORES E., BORNARD L. and TOMAS L. et al. Design of large Francis turbine using optimal methods[J]. IOP Conference Series: Earth and Environmental Science, 2012, 15(2): 022023.
BREKKE H. Hydraulic design strategy for Francis turbines[J]. International Journal on Hydropower and Dams, 1996, 3(3): 38–42.
XIAO Y., WANG Z. and YAN Z. et al. Experimental and numerical analysis of pressure pulses characteristics in a Francis turbine with partial load[J]. IOP Conference Series: Earth and Environmental Science, 2010, 12(1): 012023.
MAGNOLI M. V., SCHILLING R. Numerical simulation of pressure pulsationsin Francis turbines (GOURBESVILLE P., CUNGE J. and CAIGNAERT G. Advances in hydroihformations[M]. Singapore: Springer, 2014, 389–403.
THAPA B. S., DAHLHAUG O. G. and THAPA B. Sediment erosion in hydro turbines and its effect on the flow around guide vanes of Francis turbine[J]. Renewable and Sustainable Energy Reviews, 2015, 49: 1100–1113.
RUCHONNET N., NICOLET C. and AVELLAN F. Onedimensional modeling of rotor stator interaction in Francis pump-turbine[C]. Proceedings of the 23rd IAHR Symposium on Hydraulic Machinery and Systems. Yokohama, Japan, 2006.
LARSSON C. Experimental and theoretical analysis of inlet flow of a Francis turbine runner[D]. Doctoral Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 2003.
QIAN R. Flow field measurements in a stator of a hydraulic turbine[D]. Doctoral Thesis, Quebec, Canada: Laval University, 2008.
KOBRO E. GAMBOA A. and BLOCH R. et al. Onboard pressure measurement in high head Francis prototype runners[C]. 3rd IAHR International Meeting of the Work Group on Cavitation and Dynamic Problems in Hydraulic Machinery and Systems. Brno, Czech Republic, 2009, 14–16.
XIAO Ye-xiang, WANG Zhong-wei and ZHANG Jin et al. Numerical predictions of pressure pulses in a Francis pump turbine with misaligned guide vanes[J]. Journal of Hydrodynamics, 2014, 26(2): 250–256.
BARIO F., BERAL C. Boundary layer measurements on the pressure and suction sides of a turbine inlet guide vane[J]. Experimental Thermal and Fluid Science, 1998, 17(1–2): 1–9.
SCHABOWSKI Z., HODSON H. The Reduction of over tip leakage loss in unshrouded axial turbines using winglets and squealers[J]. Journal of Turbomachinery, 2007, 136(4): 663–675.
ZOBEIRI A., AUSONI P. and AVELLAN F. et al. How oblique trailing edge of a hydrofoil reduces the vortexinduced vibration[J]. Journal of Fluids and Structures, 2012, 32(3): 78–89.
FINSTAD P. H. E., KJELDSEN M. and ARNDT R. E. Characterizing Rotor-Stator interaction-RSI in hydrofoil wake using CFD and experimentally obtained wake flow fields[C]. 14th International Symposium on Transport Phenomena and Dynamics of Rotating. Trondheim, Norway, 2012.
BREKKE H. Hydraulic turbines: Design, erection and operation[M]. Trondheim, Norway: Norwegian University of Science and Technology (NTNU) publications, 2001.
PRADHAN P. M. S., DAHLHAUG O. G. and JOSHI P. N. et al. Sediment and efficiency measurements at Jhimruk Hydropower Plant-Monsoon 2003[R]. Report from Hydro Lab, Nepal, 2004.
GJOSATER K. Hydraulic design of Francis turbine exposed to sediment erosion[D]. Master Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 2011.
THAPA B. S. Hydraulic design of Francis turbine to minimize sediment erosion[D]. Master Thesis, Dhulikhel, Nepal: Kathmandu University, 2012.
ELTVIK M. Sediment erosion in Francis turbines[D]. Doctoral Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 2013.
THAPA B. S., ELTVIK M. and GJØSÆTER K. et al. Design optimization of Francis runners for sediment handling[C]. Fourth International Conference on Water Resources and Renewable Energy Development in Asia. Chiang Mai, Thailand, 2012.
THAPA B. S., GJOSATER K. and ELTVIK M. et al. Effects of turbine design parameters on sediment erosion of Francis runner[C]. 2nd International Conference on Developments in Renewable Energy Technology. Dhaka, Bangladesh, 2012, 167.
THAPA B. S., THAPA B. and ELTVIK M. et al. Optimizing runner blade profile of Francis turbine to minimize sediment erosion[J]. IOP Conference Series: Earth and Environmental Science, 2012, 15(3): 032052.
CHITRAKAR S., CERVANTES M. and THAPA B. S. Fully coupled FSI analysis of Francis turbines exposed to sediment erosion[J]. International Journal of Fluid Machinery and Systems, 2014, 7(3): 101–109.
RAJKARNIKAR B., NEOPANE H. P. and THAPA B. S. Development of rotating disc apparatus for test of sediment-induced erosion in francis runner blades[J]. Wear, 2013, 306(1–2): 119–125.
CHEN X. Theoretical and experimental study of flow through the double cascade of a Francis turbine[D]. Doctoral Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 1992.
WEI Z., FINSTAD P. H. and OLIMSTAD G. E. et al. High pressure hydraulic machinery[R]. Trondheim, Norway: Norwegian Institute of Science and Technology, 2009.
ANSYS, Ansys 16.0 release documentation. Theory and modelling guide[M]. Canonsburg, PA, USA: ANSYS Inc., Southpointe, 2600. ANSYS Drive, 2015.
TRIVEDI C., CERVANTES M. J. and DAHLHAUG O. G. et al. Experimental investigation of a high head Francis turbine during spin-no-load operation[J]. Journal of Fluids Engineering, 2015, 137(6): 061106.
FERZIGER J. H., PERIC M. Computational methods for fluid dynamics[M]. Berlin, Germany: Springer, 2002.
ANTONSEN Ø. Unsteady flow in wicket gate and runner with focus on static and dynamic load on runner[D]. Doctoral Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 2007.
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Biography: Biraj Singh THAPA (1979-), Male, Ph. D. Candidate
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Thapa, B., Trivedi, C. & Dahlhaug, O. Design and development of guide vane cascade for a low speed number Francis turbine. J Hydrodyn 28, 676–689 (2016). https://doi.org/10.1016/S1001-6058(16)60648-0
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DOI: https://doi.org/10.1016/S1001-6058(16)60648-0