Numerical simulation of hydraulic transients in pumped storage power station with unsteady friction
By taking unsteady friction into account,the second-order finite volume method(FVM)Godunov scheme was utilized to undertake numerical simulation in order to investigate the hydraulic transient problem in the pipelines of pumped storage power plants.Firstly,the governing equations of the mathematical model were discretized according to the finite volume method,and the flux was calcu-lated using the Riemann solver.The whole characteristic curves of the unit were transformed by using the improved Suter approach,and the Brunone and TVB unsteady friction models were respectively considered in the calculation.The calculated results of the proposed scheme were compared with that of the steady friction scheme and the measured data,and the corresponding parameter sensitivity analysis was also performed.The results show that the unsteady friction only increases the attenuation of subse-quent fluctuations in the pipeline,but has little effect on the initial fluctuations in the pumped storage station pipe network model.In a single pipe,the influence of unsteady friction increases with the shor-tening of valve closing time.Due to the large Reynolds number in pumped storage power station sys-tems,the unsteady friction model has poor applicability and is insensitive to changes in the related physical parameters.This shows that in water transmission projects with large pipe diameters and high flow rates,the impact of dynamic friction can be ignored,but for projects with small pipe diameters and low flow rates,the consideration of dynamic friction is still necessary.
pumped storage power stationfinite volume methodGodunov schemeunsteady frictionhydraulic transients
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