Dielectric Behavior of Compact Design Three Phase Coated Gas Insulated Busduct with Metallic Particle Contamination
The use of a gaseous medium with higher dielectric strength like sulphur hexafluoride (SF6) instead of air helps in manifold reduction in the size of the sub-station component. Compact GIS systems are essentially three-phase common systems with more than one functional element in one enclosure. Metallic particles can be either free to move in the GIS or they may be tuck either to an energized electrode or to an insulator surface. If a metallic particle crosses the gap and comes into contact with the inner electrode or if a metallic particle adheres to the inner conductor, the particle will act as a protrusion on the surface of the electrode, and the voltage required for breakdown of the GIS will also cause a significant reduction of the breakdown voltage. One method of conducting particle control and deactivation is by coating the inner surface of the outer enclosure. To determine the particle trajectories in a three-phase common enclosure gas insulated busduct (GIB) an outer enclosure of diameter 500 mm and inner conductors of diameters 64 mm spaced equilaterally are considered. Aluminum, copper and silver particles were considered to be present on enclosure surface. Simulation of particle movement with reduced phase conductor is also carried out with a view to obtain optimum size of conductor for reliable operation by reducing the original diameter of the conductor from 64 mm to 54 mm in steps of 5 mm.
Motion of free conducting particles in a single phase compressed gas insulated bus duct with electromagnetic field effect
Metallic particle contamination is one of the areas of insulation design that are considered critical. The management and control of particle contamination are crucial considerations as the industry moves forward to higher voltage GIS and long GITL designs using SF6 in some components. Free conducting particles may lower the corona onset and breakdown voltage of a GIS/GITL system considerably. Under an applied electric field a conducting particle acquires a charge and lifts off from its resting position on the conductor when the electromagnetic force from the field becomes equal to the gravity force. Metallic particles move randomly in a horizontally mounted GIS/GITL system due to the electrode surface roughness and particle irregularities. Under 50 Hz AC voltage, the particle can cross the gap at a sufficiently high voltage level. Monte Carlo simulation is carried out on a single phase GIS for determining the motion of free conducting particles in the presence of electromagnetic field. The results have been presented and analyzed.
LYAPUNOV-BASED TRANSFER BETWEEN ELLIPTIC KEPLERIAN ORBITS
We present a study of the transfer of satellites between elliptic Keplerian orbits using Lyapunov stability theory specific to this problem. The construction of Lyapunov functions is based on the fact that a non-degenerate Keplerian orbit is uniquely described by its angular momentum and Laplace (- Runge-Lenz) vectors. We suggest a Lyapunov function, which gives a feedback controller such that the target elliptic orbit becomes a locally asymptotically stable periodic orbit in the closed-loop dynamics. We show how to perform a global transfer between two arbitrary elliptic orbits based on the local transfer result. Finally, a second Lyapunov function is presented that works only for circular target orbits.