Indian Institute of Technology Kharagpur

About: Indian Institute of Technology Kharagpur is a education organization based out in Kharagpur, India. It is known for research contribution in the topics: Computer science & Dielectric. The organization has 16887 authors who have published 38658 publications receiving 714526 citations.

Border-collision bifurcations in the buck converter

Abstract: Interesting bifurcation phenomena are observed for the current feedback-controlled buck converter. We demonstrate that most of these bifurcations can be categorized as "border-collision bifurcations." A method of predicting the local bifurcation structure through the construction of a normal form is applied. This method applies to many power electronic circuits as well as other piecewise smooth systems.

Closed-form expressions for distribution of sum of exponential random variables

Abstract: In many systems which are composed of components with exponentially distributed lifetimes, the system failure time can be expressed as a sum of exponentially distributed random variables. A previous paper mentions that there seems to be no convenient closed-form expression for all cases of this problem. This is because in one case the expression involves high-order derivatives of products of multiple functions. The authors prove a simple intuitive multi-function generalization of the Leibnitz rule for high-order derivatives of products of two functions and use this to simplify this expression, thus giving a closed form solution for this problem. They similarly simplify the state-occupancy probabilities in general Markov models.

Size Regime Dependent Catalysis by Gold Nanoparticles for the Reduction of Eosin

Abstract: In this work we have addressed the gold particle catalyzed eosin reduction in the presence of NaBH4. The catalytic activity of the gold nanoparticles is different for different size regimes (size domain dependent) of the particles. It has been shown that the kinetics of the catalytic rate has a bearing with the particle size (viz., surface area, mass, etc.). The kinetics of catalytic reduction revealed that for the same surface area of different particles, the catalytic rate does not increase proportionately with the decrease in size over the whole range of average diameter from 10 to 46 nm. The rate decreases first with the increase in particle size, and above 15 nm, it increases. Moreover, if the mass effect is also taken into account, that is, catalytic rate is determined in terms of per unit mass per unit surface area, then the resulting catalytic rate falls with the rise in particle size over the whole range of size studied. However, the rate was different for the two regimes. Photochemically prepare...