A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance

The phenomenon of subsynchronous resonance (SSR) in multi-generator system is inherently complex and poses significant analytical challenges. This complexity arises primarily from the interactions among generators, particularly those sharing close torsional frequencies, which have not been sufficien...

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Main Authors: Xin Zhao, Haixiang Xie, Xi Wu, Shan Gao, Ruoying Yu
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:International Journal of Electrical Power & Energy Systems
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0142061525004624
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author Xin Zhao
Haixiang Xie
Xi Wu
Shan Gao
Ruoying Yu
author_facet Xin Zhao
Haixiang Xie
Xi Wu
Shan Gao
Ruoying Yu
author_sort Xin Zhao
collection DOAJ
description The phenomenon of subsynchronous resonance (SSR) in multi-generator system is inherently complex and poses significant analytical challenges. This complexity arises primarily from the interactions among generators, particularly those sharing close torsional frequencies, which have not been sufficiently addressed. Moreover, the impact of these interactions on SSR remains inadequately explained. As a result, current SSR risk assessment methods often struggle to balance computational efficiency with modelling accuracy. In this paper, a simplified complex torque coefficient method is proposed, and an analytic formula for the generator’s electrical damping is derived for multi-generator system. This formula, which incorporates terms related to shaft dynamics, elucidates how rotor angle interactions affect damping characteristics and contribute to SSR. Based on these interactions and their dominant influencing factors, a systematic procedure is developed to assess SSR risk in multi-generator systems. The effectiveness of this evaluation procedure is validated through eigenvalue analysis and time-domain simulations. Compared to existing methods, the proposed approach offers improved suitability for practical power system applications.
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institution DOAJ
issn 0142-0615
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publishDate 2025-09-01
publisher Elsevier
record_format Article
series International Journal of Electrical Power & Energy Systems
spelling doaj-art-c8474ddcb6534acfa1d63c7de01c117b2025-08-20T03:03:46ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-09-0117011091410.1016/j.ijepes.2025.110914A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonanceXin Zhao0Haixiang Xie1Xi Wu2Shan Gao3Ruoying Yu4School of Electrical Engineering, Southeast University, Nanjing 210096 Jiangsu, China; Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing 210096 Jiangsu, China; Corresponding author at: School of Electrical Engineering, Southeast University, Nanjing 210096, Jiangsu, China.School of Electrical Engineering, Southeast University, Nanjing 210096 Jiangsu, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096 Jiangsu, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096 Jiangsu, China; Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing 210096 Jiangsu, ChinaChina Electric Power Research Institute Nanjing Branch, Nanjing 210003 Jiangsu, ChinaThe phenomenon of subsynchronous resonance (SSR) in multi-generator system is inherently complex and poses significant analytical challenges. This complexity arises primarily from the interactions among generators, particularly those sharing close torsional frequencies, which have not been sufficiently addressed. Moreover, the impact of these interactions on SSR remains inadequately explained. As a result, current SSR risk assessment methods often struggle to balance computational efficiency with modelling accuracy. In this paper, a simplified complex torque coefficient method is proposed, and an analytic formula for the generator’s electrical damping is derived for multi-generator system. This formula, which incorporates terms related to shaft dynamics, elucidates how rotor angle interactions affect damping characteristics and contribute to SSR. Based on these interactions and their dominant influencing factors, a systematic procedure is developed to assess SSR risk in multi-generator systems. The effectiveness of this evaluation procedure is validated through eigenvalue analysis and time-domain simulations. Compared to existing methods, the proposed approach offers improved suitability for practical power system applications.http://www.sciencedirect.com/science/article/pii/S0142061525004624Subsynchronous resonance (SSR)Simplified complex torque coefficient methodMulti-generator systemClose torsional frequenciesStability estimation
spellingShingle Xin Zhao
Haixiang Xie
Xi Wu
Shan Gao
Ruoying Yu
A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
International Journal of Electrical Power & Energy Systems
Subsynchronous resonance (SSR)
Simplified complex torque coefficient method
Multi-generator system
Close torsional frequencies
Stability estimation
title A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
title_full A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
title_fullStr A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
title_full_unstemmed A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
title_short A simplified complex torque coefficient method for analyzing and estimating the risk of multi-generator system subsynchronous resonance
title_sort simplified complex torque coefficient method for analyzing and estimating the risk of multi generator system subsynchronous resonance
topic Subsynchronous resonance (SSR)
Simplified complex torque coefficient method
Multi-generator system
Close torsional frequencies
Stability estimation
url http://www.sciencedirect.com/science/article/pii/S0142061525004624
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