Paper Info
Title
Singular Perturbation Theory-Based Qualitative Dynamics Investigation of Flywheel Energy Storage System in Discharge Mode.
Abstract
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.
Year
DOI
Venue
2014
10.1155/2014/487596
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Christian ministry,Mathematical optimization,Smart grid,Test bench,Control theory,Bifurcation theory,Electric power transmission,Flywheel energy storage system,Singular perturbation,Fixed point,Mathematics
Journal
2014
ISSN
Citations 
PageRank 
1110-757X
0
0.34
References 
Authors
4
4
Name
Order
Citations
PageRank
Weiya Zhang100.34
Yongli Li2162.83
Xiaoyong Chang300.34
Nan Wang400.34