Singular Perturbation Theory-Based Qualitative Dynamics Investigation of Flywheel Energy Storage System in Discharge Mode
Joint Authors
Li, Yongli
Chang, Xiaoyong
Wang, Nan
Zhang, Weiya
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
An investigation on qualitative dynamics in a voltage-current dual-loop controlled flywheel energy storage system (FESS) operating in discharge mode is presented in this paper, providing novel insights into the effect of two-timescale characteristics on the safety and stability of energy transmission of FESS.
Based on singular perturbation theory, a two-timescale approach is proposed to separate the FESS into the fast and slow subsystems.
Stability analysis of the transient fixed points confirms the effects of systemic parameters on FESS’s dynamics and indicates that the FESS shifts from the spiking state to the quiescent state when the slow variable crosses the bifurcation point of the fast subsystem.
Mechanism analysis reveals that the root cause of the qualitative dynamics is the voltage instability of the FESS.
Moreover, the feasibility boundaries of key parameters are derived, and application requirements of the proposed approach are also discussed, guiding the extension of the approach to engineering applications and solving the dynamics analysis problem to some extent at a theoretical analysis level.
Constant voltage discharge experiment is performed based on the FESS test bench built in Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, which validates the theoretical results.
American Psychological Association (APA)
Zhang, Weiya& Li, Yongli& Chang, Xiaoyong& Wang, Nan. 2014. Singular Perturbation Theory-Based Qualitative Dynamics Investigation of Flywheel Energy Storage System in Discharge Mode. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-475599
Modern Language Association (MLA)
Zhang, Weiya…[et al.]. Singular Perturbation Theory-Based Qualitative Dynamics Investigation of Flywheel Energy Storage System in Discharge Mode. Journal of Applied Mathematics No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-475599
American Medical Association (AMA)
Zhang, Weiya& Li, Yongli& Chang, Xiaoyong& Wang, Nan. Singular Perturbation Theory-Based Qualitative Dynamics Investigation of Flywheel Energy Storage System in Discharge Mode. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-475599
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475599