Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units

The variable-speed operation mode of pumped storage units improves the regulation performance and endows the units with characteristics such as isolation from the power grid, thereby affecting the system stability. This study establishes a detailed mathematical model for the connection of doubly fed...

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Main Authors: Xiangyang Yu, Yujie Cui, Hao Qi, Chunyang Gao, Ziming He, Haipeng Nan
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/11/2796
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author Xiangyang Yu
Yujie Cui
Hao Qi
Chunyang Gao
Ziming He
Haipeng Nan
author_facet Xiangyang Yu
Yujie Cui
Hao Qi
Chunyang Gao
Ziming He
Haipeng Nan
author_sort Xiangyang Yu
collection DOAJ
description The variable-speed operation mode of pumped storage units improves the regulation performance and endows the units with characteristics such as isolation from the power grid, thereby affecting the system stability. This study establishes a detailed mathematical model for the connection of doubly fed induction generator-based variable-speed pumped storage (DFIG-VSPS) to a single-machine infinite bus system under power generation conditions in the synchronous rotation direct-quadrature-zero coordinate system. The introduction of the eigenvalue method to analyze the small-disturbance stability of doubly fed variable-speed pumped storage units and the use of participation factors to calculate the degree of influence of each state variable on the small-disturbance stability of the units are innovations of this study. The participation factor enhances flexibility, continuity, and efficiency in doubly fed variable-speed pumped storage by optimizing dynamic power paths and enabling multi-objective control coordination. While eigenvalue analysis is not new, this study is the first to apply it with participation factors to DFIG-VSPS, addressing gaps in prior simplified models. Furthermore, based on the changes in the characteristic root trajectories, the influence of changes in the speed control system parameters and converter controller parameters on the system stability was determined. Finally, the conclusions obtained were verified through simulation. The results indicate that increasing the time constant of water flow inertia poses a risk of system instability, and the increase in proportional parameters and decrease in integral parameters of the power outer loop controller significantly affect the system stability.
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spelling doaj-art-bad5ff1da45e42db9ca0601f5d4d7acf2025-08-20T02:33:08ZengMDPI AGEnergies1996-10732025-05-011811279610.3390/en18112796Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage UnitsXiangyang Yu0Yujie Cui1Hao Qi2Chunyang Gao3Ziming He4Haipeng Nan5School of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Water Resources and Hydroelectric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaThe variable-speed operation mode of pumped storage units improves the regulation performance and endows the units with characteristics such as isolation from the power grid, thereby affecting the system stability. This study establishes a detailed mathematical model for the connection of doubly fed induction generator-based variable-speed pumped storage (DFIG-VSPS) to a single-machine infinite bus system under power generation conditions in the synchronous rotation direct-quadrature-zero coordinate system. The introduction of the eigenvalue method to analyze the small-disturbance stability of doubly fed variable-speed pumped storage units and the use of participation factors to calculate the degree of influence of each state variable on the small-disturbance stability of the units are innovations of this study. The participation factor enhances flexibility, continuity, and efficiency in doubly fed variable-speed pumped storage by optimizing dynamic power paths and enabling multi-objective control coordination. While eigenvalue analysis is not new, this study is the first to apply it with participation factors to DFIG-VSPS, addressing gaps in prior simplified models. Furthermore, based on the changes in the characteristic root trajectories, the influence of changes in the speed control system parameters and converter controller parameters on the system stability was determined. Finally, the conclusions obtained were verified through simulation. The results indicate that increasing the time constant of water flow inertia poses a risk of system instability, and the increase in proportional parameters and decrease in integral parameters of the power outer loop controller significantly affect the system stability.https://www.mdpi.com/1996-1073/18/11/2796variable-speed pumped storagesmall-disturbance stabilityeigenvalueparticipation factor
spellingShingle Xiangyang Yu
Yujie Cui
Hao Qi
Chunyang Gao
Ziming He
Haipeng Nan
Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
Energies
variable-speed pumped storage
small-disturbance stability
eigenvalue
participation factor
title Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
title_full Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
title_fullStr Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
title_full_unstemmed Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
title_short Small-Disturbance Stability Analysis of Doubly Fed Variable-Speed Pumped Storage Units
title_sort small disturbance stability analysis of doubly fed variable speed pumped storage units
topic variable-speed pumped storage
small-disturbance stability
eigenvalue
participation factor
url https://www.mdpi.com/1996-1073/18/11/2796
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