This paper proposes a novel approach for coherent generators online clustering in a large power system following a wide area disturbance. An interconnected power system may become unstable due to severe contingency when it is operated close to the stability boundaries. Hence, the bulk power system controlled islanding is the last resort to prevent catastrophic cascading outages and wide area bl...

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Abstract: Lüders’ theorem states that two observables commute if measuring one of them does not disturb the measurement outcomes of the other. We study measurements which are described by continuous positive operatorvalued measurements (or POVMs) associated with coherent states on a Lie group. In general, operators turn out to be invariant under the Lüders map if their P and Q-symbols coincide....

Eigenstates of the linear combinations a 2 + βa †2 and ab + βa † b † of two boson creation and annihilation operators are presented. The algebraic procedure given here is based on the work of Shanta et al. 1994] for constructing eigenstates of generalized annihilation operators. Expressions for the overlaps of these states with the number states, the coherent states and the squeezed states are ...

In this paper, a new combination of Minimum Description Length (MDL) or Eigenvalue Gradient Method (EGM), Joint Approximate Diagonalization of Eigenmatrices (JADE) and Modified Forward-Backward Linear Prediction (MFBLP) algorithms is proposed which determines the number of non-coherent source groups and estimates the Direction Of Arrivals (DOAs) of coherent signals in each group. First, the MDL...

let $f: arightarrow b$ be a ring homomorphism and let $j$ be an ideal of $b$. in this paper, we investigate the transfer of the property of coherence to the amalgamation $abowtie^{f}j$. we provide necessary and sufficient conditions for $abowtie^{f}j$ to be a coherent ring.

We develop a finite-domain finite-time Lyapunov exponent (FDFTLE) method to allow Lagrangian Coherent Structure (LCS) extraction from velocity data within limited domains. This removes spurious ridges as seen when trajectories are stopped at the domain boundaries. We find this extension useful in practical applications when LCS are extracted from LIDAR measurements at Hong Kong International Ai...