Many advanced techniques are being developed for Power Systems Stability Assessment. We can use Eigen value techniques for the purpose of increasing the calculation performance of eigen-algorithms for Power System Small Signal Stability Analysis. Firstly, we introduce a bulge chasing algorithm called the BR algorithm which is a novel and efficient method to find all Eigen values of upper Hessen...

In this paper, a new parallel procedure is proposed to accelerate the solution of linear systems required by iterative Eigen analysis methods. Now days Eigen analysis of power systems is frequently used to study the effect and tune the response of existing controllers, to guide the design of new controllers. Recent developments in the area lead to the necessity of studying larger power system m...

The Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric function side and a combinatorial side. The combinatorial side q, t-enumerates parking functions in the n × n lattice. The symmetric function side may be simply expressed as∇en, where∇ is the Macdonald eigen-operator introduced by Bergeron and Garsia (1999) and en is the elementary symmetric function. The combinatorial si...

the present study utilizes an analytical method to formulate the three lowest modal frequencies of axially-loaded notched beam through both crack location and load level in a specific format that can be used in existing frequency-based crack-identification methods. the proposed formula provides a basis to shift into two states, one with axial loading and the other without any loading whatsoever...

We have developed a Scalable Linear Augmented Slater-Type Orbital (LASTO) method for electronic-structure calculations on free-standing atomic clusters. As with other linear methods we solve the Schrödinger equation using a mixed basis set consisting of numerical functions inside atom-centered spheres and matched onto tail functions outside. The tail functions are Slater-type orbitals, which ar...

In this paper, a face recognition system for personal identification and verification using Principal Component Analysis (PCA) with Modified Back Propagation Neural Networks (MBPNN) is proposed. The dimensionality of face image is reduced by the PCA and the recognition is done by the MBPNN. The system consists of a database of a set of facial patterns for each individual. The characteristic fea...

As an invited speaker at the Institute for Advanced Study in Princeton, Manfred Eigen once stood by as his host ran through an impressive list of accolades: his work as a young researcher measuring the rates of ultrafast chemical reactions, for which he shared the Nobel Prize in Chemistry in 1967; his directorship of the Max Planck Institute for Biological Chemistry in Göttingen; his contributi...