Forced vibration analysis model for pumped storage power station based on the 1D–3D coupling and pipe walls vibration

Abstract

Hydraulic vibration is a common phenomenon in pumped storage power stations (PSPS) and hydropower plants. Evaluating the performance of the PSPS and water conveyance system under the hydraulic vibration condition is significant for the safety of the electric power and the PSPS system. In this study, the one‐dimensional (1D) and three‐dimensional (3D) coupling model for the entire PSPS system is established based on the open‐source software OpenFOAM and in‐house C++ codes. The coupling data exchange is realized by writing and reading files. The coupling model is validated by comparing the results with the pure 1D method under small load disturbance conditions. The forced vibration source is modeled by the pipe walls vibration method in the 3D region, and the 1D method takes charge of other parts in the PSPS system. The combination of the pipe walls vibration and 1D–3D coupling could fully consider the incident and reflected characteristics of the pressure waves. The established model could evaluate the overall performance of the PSPS system under forced vibration. Sensitive analysis of the vibration magnitude is carried out, and the results are consistent with the theoretical analysis, demonstrating that the established model is applicable for the forced vibration analysis.

Study of the inhibitory effect of a soft cushion on the propagation of pressure pulsation in pumped storage power stations

“…The flow-rate values and pressure vibration values at different locations along the underground buried pipe system were solved programmatically, and the calculated pressure pulsation values were used as the loads acting on the inner wall of the steel pipe for the ground vibration simulation. 47,48 The relationship between the oscillating complex head and complex flow rate for the first and last sections of the pipeline may be expressed using the transfer matrix method as follows 49 : The oscillating complex head and the complex flow rate of the first and last sections of each pipe in the system form a vector of unknowns X. In the study of hydraulic vibration, the mathematical model of all boundary conditions is simplified to a known impedance form.…”

“…For complex water pipeline systems, an overall matrix was established for the numerical simulation. The flow‐rate values and pressure vibration values at different locations along the underground buried pipe system were solved programmatically, and the calculated pressure pulsation values were used as the loads acting on the inner wall of the steel pipe for the ground vibration simulation 47,48 …”