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21 articles for “system of nonlinear equations”
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Research ArticleOpen accessIn the abstractVoltage Stability of Long Transmission Line Equipped with a Thyristor Controlled Series CapacitorPrechanon KumkratugProblem statement: Power-Voltage curve provides very important information for voltage stability analysis. The exact long transmission line model consists of the resistance and the reactance. The resistance causes in the active line loss. It is not easy task to achieve the power-voltage curve characteristics of power system with the exact long line model equipeed with a Thyristor Controlled Series Capacitor … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 6 Aug 2012 · 6,971 accessesView PDFCite
Research ArticleOpen accessIn the abstractPower-Voltage Characteristics of Power System with the Short Transmission LinePrechanon KumkratugProblem statement: Power-Voltage curve provides very important information for voltage stability analysis. The exact short transmission line model consists of the resistance and reactance. The resistance causes in the active line loss. It is not easy task to achieve the power-voltage curve characteristics of power system with the exact short line model. Approach: This study applied the concept of the … …American Journal of Applied Sciences, Vol. 9, Issue 6 · 20 Mar 2012 · 7,454 accessesView PDFCite
Research ArticleOpen accessIn the abstractPower-Voltage Characteristics of Power System with the Medium Transmission LinePrechanon KumkratugProblem statement: Power-Voltage curve provides very important information for voltage stability analysis. The exact medium transmission line model consists of the resistance and the reactance. The resistance causes in the active line loss. It is not easy task to achieve the power-voltage curve characteristics of power system with the exact medium line model. Approach: This study applies the concept of … …American Journal of Applied Sciences, Vol. 9, Issue 6 · 19 Mar 2012 · 8,256 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Perturbative Approach in Nonlinear Singularity AnalysisTat-Leung YeeProblem statement: The study is devoted to the “mirror” method which enables one to study the integrability of nonlinear differential equations. Approach: A perturbative extension of the mirror method is introduced. Results: The mirror system and its first perturbation are then utilized to gain insights into certain nonlinear equations possessing negative Fuchs indices, which were poorly understood in the literatures. … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 29 Jul 2011 · 7,331 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Family of Exact Soliton Solutions for the Nonlinear Three-Wave Interaction EquationsSahar M. Alqaraleh, Adeeb G. TalafhaProblem statement: To obtain new exact traveling wave soliton solutions for the threewave interaction equation in a dispersive medium and a non zero phase mismatch. Approach: The tanh method is usually used to find a traveling wave analytic soliton solutions for one nonlinear wave and evolution partial differential equation. Here, we generalize this method to solve a system of nonlinear … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 31 Jan 2011 · 7,426 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Multiderivative Collocation Method for 5th Order Ordinary Differential EquationsS. J. Kayode, D. O. AwoyemiProblem statement: The conventional methods of solving higher order differential equations have been by reducing them to systems of first order equations. This approach is cumbersome and increases computational time. Approach: To address this problem, a numerical algorithm for direct solution of 5th order initial value problems in ordinary differential equations (odes), using power series as basis function, is proposed … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 8,928 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Model of Double Pass Photovoltaic Thermal Air Collector with FinsEbrahim M. Ali Alfegi, Kamaruzzaman Sopian, Mohd Yusof Hj Othman, Baharudin Bin YatimProblem statement: The efficiency of photovoltaic cells is generally temperature dependent (efficiency decrease when the temperature of the photovoltaic cells increase). This problem can be solved by cooling the solar cells during operation and operated at low temperature. Approach: This study presented a numerical model of double pass Photovoltaic Thermal (PV/T) solar air collector with fins attached to the back … …American Journal of Environmental Sciences, Vol. 5, Issue 5 · 31 Oct 2009 · 8,006 accessesView PDFCite
Research ArticleOpen accessIn the abstractArtificial Neural Networks Based Modeling and Control of Continuous Stirred Tank ReactorR. Suja Mani Malar, T. ThyagarajanContinuous Stirred Tank Reactor (CSTR) is one of the common reactors in chemical plant. Problem statement: Developing a model incorporating the nonlinear dynamics of the system warrants lot of computation. An efficient control of the product concentration can be achieved only through accurate model. Approach: In this study, attempts were made to alleviate the above mentioned problem using &#34Artificial Intelligence&#34 … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Mar 2009 · 8,209 accessesView PDFCite
Research ArticleOpen accessIn the abstractChaos Control in Nonlinear Systems Using the Generalized Backstopping MethodA.R. Sahab, M. Haddad ZarifOne of the most important nonlinear systems for checking the abilities of control methods is chaos. In this study chaos in Lorenz system was used for checking abilities of new control method. This new method to control nonlinear systems was called Generalized Backstepping method because of its similarity to Backstepping but its abilities to control more systems than Backstepping. This … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Mar 2008 · 7,064 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordBi-Stable Vibration Power Generation System Using Electromagnetic Motor and Efficiency Improvement by Stochastic ResonanceWei Zhao, Yoshiro Fujiwara, Jingchao Guan et al.Research on vibration energy harvesting using stochastic resonance has become an important research topic. A vibration energy harvesting system was developed using electromagnetic motors based on an obliquely supported bistable motion model consisting of a spring mass. After formulating the motion-governing equations of the proposed vibrating system and analyzing its potential energy performance, it was demonstrated that the system exhibits … …American Journal of Engineering and Applied Sciences, Vol. 16, Issue 3 · 2 Aug 2023 · 5,734 accessesView PDFCite