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92 articles for “infinite”
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Research ArticleOpen accessEvery word in the titleThe Effect of Thyristor Controlled Series Capacitor on Transient Stability of Single Machine Infinite Bus System with the Exact Short Transmission Line ModelPrechanon KumkratugProblem statement: It is becoming increasingly important to fully utilize the existing transmission system assets due to environmental legislation, rights-of-way issues, costs of construction and deregulation policies that were introduced in recent years. The Thyristor Controlled Series Capacitor (TCSC) has been proposed for better control power flow and dynamic performance. The exact short transmission line model consists of the resistance … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 2 Feb 2012 · 7,466 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Asymptotics of Lp Extremal Polynomials on a Complex Curve Plus an Infinite Number of PointsYamina Laskri, Rachid BenzineWe study, for all p>0 and under certain conditions the asymptotic behavior of Lp extremal polynomials with respect to the measure α=β+Y. Where, β denotes a positive Szegö measure on the closed rectifiable Jordan curve E in the complex plane and γ has an infinity of masses in the region exterior to the curve E. …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 5,986 accessesView PDFCite
Research ArticleOpen accessIn the keywordsConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMitigation Voltage Sag in Power System by Static Synchronous CompensatorPrechanon KumkratugProblem statement: The disturbance in power system is unavoidable situation. It cause in voltage sag in power system. Approach: This study applied the STATCOM to mitigate voltage of the system. The mathematical model of power system equipped with a STATCOM is systematically derived. The presented mathematical model is shown how it effects on voltage sag improvement. The simulation results are … …American Journal of Applied Sciences, Vol. 7, Issue 12 · 31 Dec 2010 · 7,681 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSTATIONARY CONNECTED CURVES IN HILBERT SPACESRaed Hatamleh, Ahmad Qazza, Hatim MigdadiIn this article the structure of non-stationary curves which are stationary connected in Hilbert space is studied using triangular models of non-self-adjoint operator. The concept of evolutionary representability plays here an important role. It is proved that if one of two curves in Hilbert space is evolutionary representable and the curves are stationary connected, then another curve is evolutionary representable … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 May 2014 · 6,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEstablishment of Readily Mathematical Formulation for the Evaluation of Slope Stability in Earth-Fill DamsSalah Saleh, Majda Ibobakr Almhdi AmerThe assessment of slope stability has been considered to be one of the most common issues to deal with by geotechnical engineers. This is due to the amount of destruction that can be brought up by the slope failure of soil masses to roads, railways, and earth dams, for example. Therefore, the stability of soil mass slopes must be carefully … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 13 Nov 2023 · 5,181 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInteraction Model in Statistical MechanicsFarida Kachapova, Ilias KachapovStatistical mechanics considers several models such as Ising model, Potts model, Heisenberg model etc. A rigorous mathematical approach based on the axiomatic foundation of probability would benefit the study and applications of these models. In this paper we use this approach to generalize some of these models into one construction named an interaction model. We introduce a mathematically rigorous definition … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 4 Nov 2017 · 7,054 accessesView PDFCite
Research ArticleOpen accessIn the keywordsVoltage Stability of Short Transmission Line Equipped with a Thyristor Controlled Series CapacitorPrechanon KumkratugIt is becoming increasingly important to fully utilize the existing transmission system assets due to environmental legislation, rights-of-way issues, costs of construction and deregulation policies that introduced in recent years. The Thyristor Controlled Series Capacitor (TCSC) has been proposed for the better control power flow and dynamic performance. The exact short transmission line model consists of the resistance and reactance. … …American Journal of Applied Sciences, Vol. 9, Issue 12 · 8 Nov 2012 · 6,696 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Mathematical Model of Power System with Static Var Compensator in Long Transmission LinePrechanon KumkratugProblem statement: It is becoming increasingly important to fully utilize the existing transmission system assets due to environmental legislation, rights-of-way issues and costs of construction and deregulation policies that introduced in recent years. The Static Var Compensator (SVC) has been proposed for the better control power flow and dynamic performance. The exact long transmission line model consists of the resistance … …American Journal of Applied Sciences, Vol. 9, Issue 6 · 15 Mar 2012 · 7,093 accessesView PDFCite
Research ArticleOpen accessIn the keywordsHardware Approach of a Multipurpose Finite Impulse Response Filter for Real-Time Filtering ApplicationsMd. Syedul Amin, Md. Mamun, Labonnah F. RahmanProblem statement: Finite Impulse Response (FIR) filters are widely used in various DSP applications. The design of digital FIR filters is a very basic problem in digital signal processing. A FIR filter with multiple operation capability is certainly very useful for any real-time filtering applications. This article presents a multipurpose FIR filter design modeled by the hardware description language VHDL … …American Journal of Applied Sciences, Vol. 8, Issue 12 · 11 Oct 2011 · 7,150 accessesView PDFCite