TY - JOUR
T1 - Local input to state stability based stability criterion with applications to isolated power systems
AU - Qin, Boyu
AU - Zhang, Xuemin
AU - Ma, Jin
AU - Mei, Shengwei
AU - Hill, David J.
N1 - Funding Information:
Manuscript received September 20, 2015; revised December 11, 2015 and January 13, 2016; accepted January 15, 2016. Date of publication February 08, 2016; date of current version October 18, 2016. This work was supported in part by State Key Development Program of Basic Research of China (2013CB228201), National Natural Science Foundation of China (51377091), National Natural Science Foundation of China (51321005), the State Scholarship Fund of China, and funding from the Faculty of Engineering & Information Technologies, The University of Sydney, under the Faculty Research Cluster Program. Paper no. TPWRS-01333-2015. (Corresponding author: Shengwei Mei.) B. Qin, X. Zhang, and S. Mei are with the Department of Electrical Engineering, Tsinghua University, Beijing 100084, China (e-mail: qinboyu11@126. com; [email protected]; [email protected]. cn).
Publisher Copyright:
© 1969-2012 IEEE.
PY - 2016/11
Y1 - 2016/11
N2 - Compared with a wide-area grid, an isolated power system (IPS) is usually operated under persistent disturbances and is vulnerable to external disturbances. The reliability of an IPS is often achieved through reconfiguration and emergency controls, which lead to variable topologies of an IPS. A fast and efficient stability criterion is required to ensure the stability of an IPS with changing structures. This paper proposes a stability criterion for dynamic systems based on local input-to-state stability (LISS) and local input-to-output stability (LIOS) properties of subsystems. The proposed stability criterion decomposes the stability analysis of the whole system into analyzing its subsystems' stability and connections. Since the LISS/LIOS properties of subsystems are completely decoupled and can be analyzed offline, the proposed stability criterion has the potential for online stability analysis through checking several algebraic inequalities. This method has good adaptability for topology changes and switching operations of subsystems. Algorithms for estimating subsystems' LISS/LIOS properties are also presented. Case studies on a typical isolated power system verify the proposed stability criterion.
AB - Compared with a wide-area grid, an isolated power system (IPS) is usually operated under persistent disturbances and is vulnerable to external disturbances. The reliability of an IPS is often achieved through reconfiguration and emergency controls, which lead to variable topologies of an IPS. A fast and efficient stability criterion is required to ensure the stability of an IPS with changing structures. This paper proposes a stability criterion for dynamic systems based on local input-to-state stability (LISS) and local input-to-output stability (LIOS) properties of subsystems. The proposed stability criterion decomposes the stability analysis of the whole system into analyzing its subsystems' stability and connections. Since the LISS/LIOS properties of subsystems are completely decoupled and can be analyzed offline, the proposed stability criterion has the potential for online stability analysis through checking several algebraic inequalities. This method has good adaptability for topology changes and switching operations of subsystems. Algorithms for estimating subsystems' LISS/LIOS properties are also presented. Case studies on a typical isolated power system verify the proposed stability criterion.
KW - asymptotic gain
KW - local input-to-output stability
KW - Local input-to-state stability
KW - small gain condition
UR - https://www.scopus.com/pages/publications/84958595458
U2 - 10.1109/TPWRS.2016.2519535
DO - 10.1109/TPWRS.2016.2519535
M3 - Article
AN - SCOPUS:84958595458
SN - 0885-8950
VL - 31
SP - 5094
EP - 5105
JO - IEEE Transactions on Power Systems
JF - IEEE Transactions on Power Systems
IS - 6
ER -