The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various loading frequencies and amplitudes are performed to study the stress-strain rate hysteresis. The hysteresis loop areas exhibit a maximum at a characteristic freq...

A model for blackouts in electric power transmission systems is implemented and studied in simple networks with a regular structure. The model describes load demand and network improvements evolving on a slow timescale as well as the fast dynamics of cascading overloads and outages. The model dynamics are demonstrated on the simple power system networks. The dynamics depend weakly on the networ...

Increasingly, the investigation of the smallsignal stability of power systems is considered an important task, complementary to the usual transient stability investigations. To study the small-signal stability of a power system, eigenvalue analysis is used. In the power systems area, studying eigenvalues does not have a history as long as that of transient stability analysis and the results are...

Power system transient stability analysis requires an appropriate integration time step to avoid numerical instability as well as to reduce computational demands. For fast system dynamics, which vary more rapidly than what the time step covers, a fraction of the time step, called a subinterval, is used. However, the optimal value of this subinterval is not easily determined because the analysis...

In this paper, with the aim of estimating internal dynamics matrix of a gimbaled Inertial Navigation system (as a discrete Linear system), the discretetime Hamilton-Jacobi-Bellman (HJB) equation for optimal control has been extracted. Heuristic Dynamic Programming algorithm (HDP) for solving equation has been presented and then a neural network approximation for cost function and control input ...

The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...

Power System Markets represented by dynamic equations provide insights into the market behaviour which are not available from static models. A combination of aggressive energy imbalance regulation and fast response of the market can lead to unstable market conditions. The dynamic properties of the market (as characterized by the eigenvalues of the market dynamic equations) are first determined ...

This paper is concerned with modeling and analysis of an interconnected electric power system for frequency ranges in which phasor dynamics of transmission lines and loads may be important to include. In most studies, only phasor dynamics of generators are taken into account. Dynamics of all other system components (transmission lines, loads, and generator stator windings) are assumed stable an...