Maximum Basin Stability Principle for Synchronization Stability Control of Smart Grid

Abstract

Stability control is a central issue in power grid as diverse as runtime monitoring, contingency response and regulation. A typical stability problem of non-linear networks such as smart grid, is that noise on one vertex has influence on other vertex, possibly driving the whole system to exhibit unexpected behavior or even fail. In order to attack this noise-induced stability problem and maintain the frequency coherence, this paper presents the maximum basin stability principle for practical systems to strength the synchronization stability of the power grid. As a concrete method to realize the maximum basin stability principle, the optimal least action control algorithm is employed to obtain optimal parameters, which can bring the system to an expected target state even when this state is not accessible directly because of bounds that limit the allowed interventions. Experimental results show that this framework allows re-steering a network to an expected state, as well as saving networks from the edge of synchronization corruption.

Keywords:

• state transition
• non-linear systems
• basin stability
• least Freidlin–Wentzell action
• synchronization control
• phase transition
• optimal parameters
• robustness

BIOGRAPHIES

Xifeng Li received the B.S., M.S., and Ph.D degrees from the School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China, in 2005, 2008 and 2014, respectively. He is currently a Lecturer with the School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China, where he specializes in robust signal processing and dynamics of complex networks. His research is focused on dynamics of time-delayed power systems and power optimization.

Yongle Xie received the Ph.D. degree in 2004 from the school of Automation Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China. Presently, he is a professor at UESTC. He is a Member of the IEEE. His fields of interest are power system simulation and fault-tolerant control, the robust control of synchronous generator and applications of dynamics to power systems.

Additional information

Funding

This research was supported by National Natural Science Foundation of China under grant 61601096.