https://doi.org/10.1140/epjst/e2014-02212-1
Review
Stability of power grids: An overview
1 Macedonian Academy of Sciences and Arts, Skopje, Macedonia
2 Faculty of Electrical Engineering and Information Technologies, Skopje, Macedonia
3 Macedonian Academy of Sciences and Arts, Skopje, Macedonia, Faculty of Computer Science and Engineering, Skopje, Macedonia, and Bio Circuit Institute, University of California, San Diego, USA
a e-mail: agajduk@manu.edu.mk
b e-mail: mirko@feit.ukim.edu.mk
c e-mail: lkocarev@ucsd.edu
Received: 12 January 2014
Revised: 29 April 2014
Published online: 24 June 2014
Transient stability and steady-state (small signal) stability in power girds are reviewed. Transient stability concepts are illustrated with simple examples; in particular, we consider three methods for computing region of attraction: time-simulations, extended Lyapunov function, and sum of squares optimization method. We discuss steady state stability in power systems, and present an example of a feedback control via a communication network for the 10 Unit 39 Bus New England Test system.
© EDP Sciences, Springer-Verlag, 2014
