https://doi.org/10.1140/epjst/e2014-02213-0
Regular Article
Basin stability of the Kuramoto-like model in small networks
1 Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany
2 Department of Physics, Humboldt University, 12489 Berlin, Germany
3 Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, UK
a e-mail: pengji@pik-potsdam.de
Received: 15 January 2014
Revised: 12 May 2014
Published online: 24 June 2014
Power system stability is quantified as the ability to regain an equilibrium state after being subjected to perturbations. We start by investigating the global basin stability of a single machine bus-bar system and then extend it to two and four oscillators. We calculate the basin stability of the stable fixed point over the whole parameter space, in which different parameter combinations give rise to a stable fixed point and/or a stable limit cycle depending crucially on initial conditions. A governing equation for the limit cycle of the one-machine infinite bus system is derived analytically and these results are found to be in good agreement with numerical simulations.
© EDP Sciences, Springer-Verlag, 2014
