Coupled plate-string vibrations in the presence of a finite bridge: Effect on natural frequencies and harmonicity.

Harmonicity of natural frequencies is investigated for a string vibrating against a finite bridge mounted on a flexible plate. This coupled system is akin to the vibration of strings in musical instruments like the sitar, where the top plate is approximated as a clamped circular plate. The bridge is assumed to be parabolic and rigidly attached to the plate at one point.

A simulation based case study for control of DSTATCOM.

This paper presents a distribution static compensator (DSTATCOM) for power quality improvements in terms of harmonics and power factor correction in a three-phase four-wire distribution system. The DSTATCOM is implemented with PWM current controlled six-leg voltage source converter (VSC) and the switching patterns are generated through a novel synchronous reference frame controller (SRFC). The insulated gate bipolar transistor (IGBT) based VSC is supported by a capacitor and is controlled for the required compensation of the load current.

Fractional Calculus of the Generalized Mittag-Leffler Type Function.

We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al.