The objective of this work is to develop some tools for local instability analysis of multiple critical points, which can be computationally carried out. The Morse index can be used to measure local instability of a nondegenerate saddle point. However, it is very expensive to compute numerically and is ineffective for degenerate critical points. A local (weak) linking index can also be defined ...

At present, the evaluation of voltage stability assessment experiences sizeable anxiety in the safe operation of power systems. This is due to the complications of a strain power system. With the snowballing of power demand by the consumers and also the restricted amount of power sources, therefore, the system has to perform at its maximum proficiency. Consequently, the noteworthy to discover t...

This thesis discusses important aspects related to voltage stability indices and their uses in electric power system analysis and operation. Some indices previously studied in the literature are reviewed and implemented in a reduced local network such as Line Stability Index (Lmn), Voltage Collapse Prediction Index (VCPI), and Power Transfer Stability Index (PTSI). In this thesis, a new index, ...

Many technological advancements in the modern era have made actual use of electrical power and constrained operating systems within stability limits. Some expeditious load variations rising demands initiate complications voltage can put stress on performance, leading to instability. Voltage Stability Indices be used perform assessment. This review evaluates various VSIs based mathematical deriv...

The ground-based microwave radiometer provides a unique opportunity to continuously derive instability indices of the troposphere based on the temperature and humidity profiles. In the present study, three different kinds of instability indices are considered: (a) based on the temperature and dew point values at selected levels only, e.g. K index, (b) based on the energy available for convectiv...

thunderstorms are regarded not only as a significant weather event but also as a key element in water and electricity cycles of the atmosphere. generally, researchers consider the intense weather instability as a result of convection in lower levels of the atmosphere with high levels enough of humidity. usually statistic instability, the humidity of lower levels of the atmosphere and lifting me...

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“So, the whole reason the French people can’t really dance, is because they haven’t got the beat in their blood. And why don’t they live and feel the beat? It’s because their language has no tonic accent [. . . ] This is something about the energy you can find in music. I mean specifically African music. As I understand, it’s dynamic and bouncy because it’s driven by the beat. And it’s syncopat...