Equivalent circuit modelling of large hydropower plants with complex tailrace system for ultra-low frequency oscillation analysis

• Published in: Applied Mathematical Modelling Vol. 103; pp. 176 - 194
• Main Authors: Zheng, Yang, Chen, Qijuan, Yan, Donglin, Zhang, Haiku
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.03.2022; Elsevier BV
• Subjects: Equivalent circuit model; Equivalent circuits; Extremely low frequencies; Feasibility; Frequency analysis; Hydraulic equipment; Hydraulic oscillation damping; Hydraulic transients; Hydraulics; Hydroelectric plants; Hydroelectric power; Hydropower plant; Mathematical analysis; Mathematical models; Open channel; Open channels; Tailrace; Topology; Ultra-low frequency oscillation; Hydropower plant; Ultra-low frequency oscillation; Hydraulic oscillation damping; Equivalent circuit model; Open channel
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2021.10.017

•Mechanism of the hydraulic factor-induced ultra-low frequency oscillation is investigated.•Mathematical expressions of RLC parameters in the ECM of open channels are introduced in detail.•High-order ECM of the tailrace system containing pressurized and free surface flows is established.•The relative merits of two oscillation suppression schemes are discussed and compared. Focused on the hydraulic factor-induced ultra-low frequency oscillation phenomenon occurring in a large hydropower plant, this paper investigates the precise modelling of hydraulic transient characteristics in its complex tailrace system and reveals the feasible oscillation suppression schemes from the source side. Combining the telegraphist's equations with the Saint-Venant equations, the mathematical expression of equivalent circuit model (ECM) for open channels is deduced, thus to expand the utilization of ECM to hydraulic transients description in pressurized pipe and open channel combination systems and to establish the high-order equivalent circuit topology of the overall tailrace system in a real hydropower plant. Based on the mathematical model, the feasibility and effectiveness of two different oscillation suppression approaches involving increasing the hydraulic losses on the branch tailrace channels or the main tailrace channel, respectively, are discussed in detail via numerical simulation. Furthermore, the superiority of the oscillation suppression scheme involving increasing hydraulic losses in branch channels in reducing the extra power generation loss is demonstrated. The application of equivalent circuit theory in complex hydraulic systems can contribute to the mechanism-related research on ultra-low frequency oscillations in hydro-dominant power systems.