Direct methods for studying dynamics of large-scale electric power systems—A survey

Synchronization in complex networks and its application – A survey of recent advances and challenges

“…Synchronization of power grids has been a classic topic in engineering since more than three decades ago (Ribbens-Pavella & Evans, 1985) and is long-standing and still on-going research efforts nowadays (Chiang et al, 1995;Machowski et al, 2008), which is an imperative factor for the functioning of a power-grid network. Typically, the stability of power grids can be classified into two categories: transient stability and steady-state (small signal) stability.…”

“…A review is presented in 1985 for large-scale electric power systems for transient stability analysis with two distinct methodologies (Ribbens-Pavella & Evans, 1985). The first approach investigates application of the direct Lyapunov method to the conventional transient stability analysis.…”

Constructing Analytical Energy Functions for Network-Preserving Power System Models

“…The construction of analytical energy functions is the central problem in direct stability analysis of electric power systems [1], [5], [8], [9], [16], [17], [21], [22], [23], [24], [30]. Traditionally, direct methods have been developed for networkreduction models, where all the load are expressed in constant impedances and the entire network representation is reduced to the generator internal buses [22], [24], [30].…”

Transient stability analysis by reachable set computation

“…In order to improve the online analysis during a faulton situation, direct methods based on the Lyapunov stability theory have been developed [1], [12], [23]. The main advantage of Lyapunov techniques is that one can guarantee that the transient response is stable when the post-fault state is within a previously computed domain of attraction.…”