Nowadays with increasing use of numerous nonlinear loads, voltage and current harmonics in power systems are one of the most important problems power engineers encounter. Many of these nonlinear loads, because of their dynamic natures, inject time-varying harmonics into power system. Common techniques applied for harmonics measurement and assessment such as FFT have significant errors in presen...

Convex solutions to the power-of-mean curvature flow, conformally invariant inequalities and regularity results in some applications of optimal transportation Shibing Chen Doctor of Philosophy Graduate Department of Mathematics University of Toronto 2012 In this thesis we study three different problems: convex ancient solutions to the power-ofmean curvature flow; Sharp inequalities; regularity ...

Personal computers draw non-sinusoidal current with odd harmonics more significantly. Power Quality of distribution networks is severely affected due to the flow of these generated harmonics during the operation of electronic loads. In this paper, mathematical modeling of odd harmonics in current like 3, 5, 7 and 9 influencing the power quality has been presented. Live signals have been capture...

Visualization of macro-vessels is difficult using existing contrast agent imaging methods without blooming or other artifacts. Early use of standard color flow equipment led to saturation and blooming, obscuring small vasculature. More recently, low Mechanical Index (MI<0.15) harmonic techniques have been devised to visualize nearly stationary microbubbles in the microcirculation in real time (...