Power System Dynamics and Stability
Citations
1,021 citations
Cites background from "Power System Dynamics and Stability..."
...…(AC) circuits are naturally modeled by equations similar to (1), some electric applications are found in structure-preserving (Bergen & Hill, 1981; Sauer & Pai, 1998) and network-reduced power system models (Chiang, Chu, & Cauley, 1995; Dörfler & Bullo, 2012b), and droop-controlled inverters in…...
[...]
...(8)–(10); see Chiang et al. (1995), Dörfler and Bullo (2013a), Sastry and Varaiya (1980) and Sauer and Pai (1998)....
[...]
...The technical analysis is slightly more subtle since the function V (θ(t)) is continuous but not necessarily differentiable when the maximum geodesic distance is attained by more than one pair of oscillators....
[...]
...…1991; Ha, Jeong et al., 2010;Ha et al., 2011;Hoppensteadt & Izhikevich, 2000; Kapitaniak et al., 2012; Pantaleone, 2002; Righetti & Ijspeert, 2006; Sauer & Pai, 1998; Shim et al., 2007; Strogatz et al., 2005; Wiesenfeld et al., 1998; Zhang et al., 2012) the coupled oscillator dynamics are not…...
[...]
...Another natural Lyapunov function is simply the length of the shortest arc containing all oscillators....
[...]
922 citations
890 citations
Cites background or methods from "Power System Dynamics and Stability..."
...PSAT also computes participation factors using right and left eigenvector matrices [15]....
[...]
...where and are the power flows in transmission lines as commonly defined in the literature [15], is the set of network buses, and are the set and the power injections of components connected at bus , respectively....
[...]
...This method is numerically more stable than the partitioned-explicit method, which solves differential and algebraic equations separately [15]....
[...]
...PSAT included the standard NR method [15], the fast decoupled power flow (XB and BX variations [16]), and a power flow with a distributed slack bus model [17]....
[...]
800 citations
751 citations
Cites background from "Power System Dynamics and Stability..."
...In fact, the following ideas for extending the work in [19] can be explored: ■ proposing algorithms, based on auction theory or matching games, that can lead to optimal and stable associations between microgrids that act as sellers (i.e., have excesses of energy) and microgrids that act as buyers…...
[...]
References
1,939 citations
1,002 citations
940 citations
854 citations
851 citations