Theoretical model on transient performance of a centrifugal pump under start-up conditions in pumped-storage system

Ming Liu, Lei Tan, Xuechu Zhao, Can Ma and Jinlan Gou

Energy, 2024, vol. 299, issue C

Abstract: Startup and shutdown are quite common processes in the operation of fluid machinery. Therefore, it is of great significance to clarify the mechanism of pumps during start-up periods for their safe and stable operations. To this end, the transient performance of a centrifugal under start-up conditions is investigated experimentally and theoretically. A theoretical prediction model is established based on the pipeline balance between the transient pump head and pipeline resistance, combined with the corresponding time-stepping algorithm for solving the pipeline balance equation. The independence test of the transient time step for the prediction method is conducted to determine a proper value. The predicted results show that sufficient prediction accuracy can be achieved, with an average relative error of 11.13 % compared with experimental results. A thorough mathematical analysis is performed to demonstrate the convexity of the characteristics of the transient pump head according to its second derivative from the pipeline balance equation. Then, a unified hyperbolic sine function with a normalized transient pump head and normalized time is established, which works well for the same pump under start-up conditions with various acceleration time.

Keywords: Transient pump head; Centrifugal pump; Start-up; Theoretical model (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:energy:v:299:y:2024:i:c:s0360544224012258

DOI: 10.1016/j.energy.2024.131452

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