We present an overview of the applications of graph theory in power system modeling, dynamics, coherency, and control. We first study synchronization of generator dynamics using both nonlinear and small-signal representations of classical structure-preserving models of power systems in light of their network structure and the weights associated with the nodes and edges of the network graph. We ...

The problem of active control of the transient dynamic response of large space structures. modeled as equivalent continua. is investigated here. The effects of initial stresses. in the form of inplane stress resultants in an equivalent plate model. on the controllability of transverse dynamic response. are studied. A singular solution approach is used to derive a fully coupled set of nodal equa...

Herein, a novel wind power grid-connection system based on inductive filtering is proposed to improve compatibility, and implemented in 50-MW real system. First, the topology wiring configuration of are discussed. Thereafter, an equivalent circuit mathematical model established reveal characteristics resonance damping mechanism Finally, farm-based experimental study, which conducted validate ef...

We study mixed finite element methods for the linearized rotating shallow water equations with linear drag and forcing terms. By means of a strong energy estimate for an equivalent second-order formulation for the linearized momentum, we prove long-time stability of the system without energy accumulation-the geotryptic state. A priori error estimates for the linearized momentum and free surface...

We present a stability theory for kink propagation in chains of coupled oscillators and a different algorithm for the numerical study of kink dynamics. The numerical solutions are computed using an equivalent integral equation instead of a system of differential equations. This avoids uncertainty about the impact of artificial boundary conditions and discretization in time. Stability results al...

Power oscillations are a growing concern among power system operators worldwide. Traditionally, the main countermeasure against dangerous power oscillations has been the installation of power system stabilizers (PSS). Essentially, the potential for inter-area power oscillations depends on the strength of the tie lines between different areas and the load on the ties. From a European perspective...

We consider the symmetry in the interaction of photons and electrons, which has led to a common description of electron and photon accelerations; effects such as photon Landau damping arise naturally from such a treatment. Intense electromagnetic waves can act as a photon mirror to charged particles. The subsequent acceleration is equivalent to the photon pulse accelerating electrons. During th...

We have investigated the optical response of superradiant atoms, which undergoes three different damping mechanisms: radiative dissipation (γr), dephasing (γd), and nonradiative dissipation (γn). Whereas the roles of γd and γn are equivalent in the linear susceptibility χ , the third-order nonlinear susceptibility χ drastically depends on the ratio of γd and γn: When γd ≪ γn, χ (3) is essential...