The harmonic index of a graph G is defined as the sum of the weights 2 d.u/Cd.v/ of all edges uv of G, where d.u/ denotes the degree of a vertex u in G. In this paper, we present the minimum harmonic indices for unicyclic and bicyclic graphs with n vertices and matching number m (2 m bn2 c), respectively. The corresponding extremal graphs are also characterized. 2000 Mathematics Subject Classif...

Minimum Total Harmonic Distortion (THD) is one of the most important requirements from multilevel inverter concerning good Power Quality. This paper presents the optimization of THD in 13 level Cascaded Multilevel Inverter with unequal dc source using Genetic Algorithm (GA). THD minimization is taken as an optimization problem derived from Selective Harmonic Elimination Pulse width Modulation (...

In this paper ranking of harmonic distortion of each nonlinear load like economical, ministerial, residential and others include hotels, hospitals, universities and terminals in the HORMOZGAN Province Electrical power Distribution network is determined by using new power quality index which is directly related on harmonic distortion sources in the distribution power system. Then, the ranking of...

In this paper we demonstrate the influence of models non-linearities to harmonic balance simulation software, such as Agilents’ ADS. Furthermore, we show how the large signal behavior in terms of convergence speed, time and region can be improved significantly. All methods proposed can be used for any kind of non-linear model, either analytical equations based or even table interpolated ones. I...

A model for volume hologram formation in thick dichromated gelatin fih-ns is given. Using the model and a few basic film measurements, we can quantify the index modulation vs. exposure curve. The effects of saturation and dynamic absorption increase during exposure are considered in the generation of spatial harmonics. The effects of exposure with non-unity beam-ratio and multiple incoherent ex...

Social network analysis is a rapid expanding interdisciplinary field, growing from work of sociologists, physicists, historians, mathematicians, political scientists, etc. Some methods have been commonly accepted in spite of defects, perhaps because of the rareness of synthetic work like (Freeman, 1978; Faust & Wasserman, 1992). In this article, we propose an alternative index of closeness cent...

One of the important factors influencing outdoor insulators performance is pollution phenomenon. The pollution, especially during humidity condition, reduces superficial resistance of insulator and lead to a flow of Leakage Currents (LC) on the insulator surface, which may result in total flashover. The LC characteristics are affected by parameters such as nature and severity of pollution. Loca...

The emergence of second-harmonic generation (SHG) is a pivotal issue to the development of nano-optical devices and interfaces. Here, we perform a classical analysis of the SHG dynamics with the aim of determining critical values of the electric field. The signals of the SHG process are nonlinear, so it seems reasonable that chaos theory can be a suitable tool to analyze their dynamics. For thi...

drought stress is one of the most important dangers for increasing the yield and good production of crops in iran and the world. to evaluate the genetic diversity of rapeseed genotypes, identifying the drought resistance indices and drought tolerant genotypes, 16 genotypes were tested in a randomized complete block design (rcbd) with three replications and two different water regimes (irrigated...

The index theorem for a harmonic mapping of riemannian manifolds is given. Let /: M -> N be a holomorphic mapping of Kaehler manifolds. Then it is shown that the index of / is zero and that a Jacobi field along/is a holomorphic section of the bundle f*T(N) induced by/.