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We present an analysis of extended, FDTD-like methods which is based on the eigenvalues of the iteration matrix. For a stable update scheme these eigenvalues must lie within the unit circle, and this kind of analysis is applied to systems with radiation losses. For small models, it is possible to compute the eigenvalues numerically and to compare them to the spectrum of the corresponding time-continuous...
The findings of this paper prove that the direct implementation of fourth-order operators in the alternating-direction-implicit finite-difference time-domain algorithm is not the most consistent way to improve its accuracy. Instead of applying the standard expressions, a methodology that exploits the scheme’s dispersion relation is introduced, so that space-time errors are balanced as equally as possible...
A new method for making an explicit time-domain finite-element method unconditionally stable is developed for general electromagnetic analysis, where the dielectrics and conductors can be inhomogeneous, lossless, and lossy. In this method, for a given time step, we find the unstable modes that are the root cause of instability, and deduct them directly from the system matrix resulting from a time-domain...
A new method for making an explicit time-domain finite-element method (TDFEM) unconditionally stable is developed for general electromagnetic analysis. In this method, for a given time step, no matter how large it is, we upfront adapt the TDFEM numerical system to exclude the source of instability. As a result, an explicit TDFEM simulation is made stable for an arbitrarily large time step irrespective...
The objective of the work reported in this paper is to select the optimal location and setting parameters of Thyristor Controlled Series Compensator (TCSC) using Particle Swarm Optimization (PSO) to mitigate small-signal oscillations in a multimachine power system. Nowadays Power System Stabilizers (PSS) being a mandatory controller associated with commercial generators, its performance still gets...
The state-space model and implementation results of a power conditioning system are presented in this paper. Eigenvalues with different controller gains and load conditions for grid-tie mode and standalone mode are utilized to analyze the system stability. For standalone mode, higher controller gain and higher load resistance tend to make system more unstable. In grid-tie mode, higher controller gain...
Numerical integration, or time domain simulation, is an important tool to study dynamical systems. Many dynamical systems are stiff, for instance, electric power systems consist of a variety of components with greatly different time scales. Although explicit integration methods are computationally efficient, they are not commonly used for studying stiff systems, because these methods may have numerical...
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