Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of second order nonlinear differential equations with damping. Our theorems prove to be efficient in many cases where known results fail to apply.

This paper develops an optimization procedure for tuning of power systems stabilizer (PSS) and Thyristor controlled Series capacitor (TCSC) based the power oscillation damping controller (POD)n to enhance Power System stability. Bacterial foraging algorithm (BFA) tries to minimize an Eigen value based multi objective function in which some loading conditions are considered concurrently to ensur...

In a variety of biomedical engineering applications, cavitation occurs in soft tissue, a viscoelastic medium. The present objective is to understand the basic physics of bubble dynamics in soft tissue. To gain insights into this problem, theoretical and numerical models are developed to study the Rayleigh collapse and subsequent oscillations of a gas bubble in a viscoelastic material. To accoun...

Abstract The microgrid dominated by new energy has small inertia and weak damping, while a virtual synchronous generator (VSG) is an effective means to enhance damping improve the stability of microgrid. However, it also introduces power angle oscillation problems similar that machines. This paper based on current inner loop voltage outer control three-phase LCL inverter. It coefficient generat...

The increasing number of low-frequency oscillation events has posed significant challenges to power system stability. It is imperative accurately identify and properly control generators with poor or negative damping contribution for better damping. This paper proposes a hybrid energy mode decomposition-based method evaluating in multi-machine systems. derived that the aggregate electric torque...

We studied the dynamic effects of an electromagnetic(EM) wave with circular polarization on a two-level damped atom. The results demonstrate interesting ac Stark split of energy levels of damped atom. The split levels have different energies and lifetimes, both of which depend on the interaction and the damping rate of atom. When the frequency of the EM wave is tuned to satisfy the resonance co...

Fundamental sensor feedback limitations for improving rotor angle stability using local frequency or phase measurement are derived. Using a two-machine power system model, it is shown that improved damping of inter-area oscillations must come at the cost reduced transient margins, regardless control design method. The stem from excitation an mode by external disturbances cannot be estimated wit...

In this paper we establish some new oscillation criteria for a second order nonlinear delay differential equation of Emden–Fowler type with damping term. These results extend and improve some of the well-known results in the nondelay case. Our results in the delay case are new and can be applied to new classes of equations which are not covered by the known criteria for oscillation. Some select...

 In the present paper damped vibrations of non-homogeneous infinite rectangular plate of parabolically varying thickness resting on elastic foundation has been studied. Following Lévy approach, the equation of motion of plate of varying thickness in one direction is solved by quintic spline method. The effect of damping, elastic foundation and taperness is discussed with permissible range of pa...