scholarly journals Analytical Modeling of Solar Cells

2019 ◽  
Vol 1 (2) ◽  
Author(s):  
Mohammed Rasheed ◽  
Suha SHIHAB
Keyword(s):  
Analytical Modeling ◽  
Load Resistance ◽  
The Other ◽  
Extrapolation Method ◽  
Initial Value ◽  
Real Roots ◽  
Modified Method ◽  
Newton Raphson ◽  
The Given ◽  
Raphson Method

<p>In the present work, a modified method is utilized to find the real roots of nonlinear equations of a single-diode PV cell by combining the modified Aitken's extrapolation method (MAEM), Aitken's extrapolation method (AEM) and the Newton-Raphson method (NRM), describing, and comparing them. The extrapolation method (MAEM) and (AEM) in the form of Aitken –acceleration is applied for improvement the convergence of the iterative method (Newton-Raphson) technique. Using a new improve to Aitken technique on (NRM) enables one to obtain efficiently the numerical solution of the single-diode solar cell nonlinear equation. The speed of the proposed method is compared with two other methods by means of various values of load resistance (R) in the range between R ∈ [1, 5] and with the given voltage of the cell  as an initial value in ambient temperature. The results showed that the proposed method (MAEM) is faster than the other methods (AEM and NRM).</p>

scholarly journals Modelling and Parameter Extraction of PV Cell Using Single-Diode Model

2020 ◽  
pp. 96-104
Author(s):  
Mohammed Siham Rasheed ◽  
Suha Shihab
Keyword(s):  
Solar Cell ◽  
Nonlinear Equation ◽  
Mathematical Models ◽  
Load Resistance ◽  
Parameter Extraction ◽  
Cell Parameters ◽  
Real Roots ◽  
Pv Cell ◽  
Newton Raphson ◽  
Raphson Method

In this work, numerical solution of nonlinear equations using Newton Raphson method (NRM) and a modified Newton-Raphson Method (MNRM) are utilized to solve and find the real roots of a nonlinear equation based on a single-diode PV cell. The proposed methods to solve nonlinear examples and obtain results with various values of a load resistance have been examined. The purpose of this paper is to obtain the results of solar cell parameters using two mathematical models with the comparison between them. The obtained results showed the proposed method (MNRM) is a powerful tool, sufficient way to solve this model with a least iterations.

Research on Genetic Algorithm-Based Solution Method for Variable Cycle Engine Model

2014 ◽  
Vol 668-669 ◽  
pp. 633-636
Author(s):  
Zheng Jia Wu ◽  
Rong Hua Meng ◽  
Ji Li
Keyword(s):  
Complex System ◽  
Genetic Algorithm ◽  
Solution Method ◽  
Initial Value ◽  
Engine Model ◽  
Computation Efficiency ◽  
Implicit Equations ◽  
Newton Raphson ◽  
The Mathematical Model ◽  
Raphson Method

Variable cycle engine is a complex system, which is usually mathematically modeled as a series of multi-dimensional nonlinear implicit equations. Processes for solution of these equations are often complicated; therefore, a genetic algorithm-based method was presented in this paper for the solution of the mathematical model. The method was also evaluated by such parameters as initial value sensitivity, computation efficiency, convergence and stability; and compared with Newton-Raphson method. It shows that genetic algorithm-based method is less sensitive to initial values, more capable in convergent and computing stability than Newton-Raphson method, however more time consuming.

scholarly journals Numerical Solution of Nonlinear Equations in Maple

2021 ◽  
Vol 8 (4) ◽  
Author(s):  
Qani Yalda
Keyword(s):  
Numerical Methods ◽  
Numerical Solution ◽  
Numerical Method ◽  
Nonlinear Equations ◽  
Secant Method ◽  
Bisection Method ◽  
Real Roots ◽  
Newton Raphson ◽  
Root Analysis ◽  
Raphson Method

The main purpose of this paper is to obtain the real roots of an expression using the Numerical method, bisection method, Newton's method and secant method. Root analysis is calculated using specific, precise starting points and numerical methods and is represented by Maple. In this research, we used Maple software to analyze the roots of nonlinear equations by special methods, and by showing geometric diagrams, we examined the relevant examples. In this process, the Newton-Raphson method, the algorithm for root access, is fully illustrated by Maple. Also, the secant method and the bisection method were demonstrated by Maple by solving examples and drawing graphs related to each method.

The Research on the Quick Method for 6-DOF Parallel Robot Forward Kinematics

2012 ◽  
Vol 466-467 ◽  
pp. 849-853
Author(s):  
Zhao Yin Zhang
Keyword(s):  
Genetic Algorithm ◽  
Parallel Robot ◽  
High Accuracy ◽  
Point Of View ◽  
Forward Kinematics ◽  
Initial Value ◽  
Quick Method ◽  
Concurrent Control ◽  
Newton Raphson ◽  
Raphson Method

6-DOF parallel robot forward kinematics can be achieved by Newton-Raphson method with more accurancy, but the result depends on the offer of initial value. It can definitely calculate the result by genetic algorithm, however, more evolved algebra is needed to make it more accurate, and sometimes it hardly meets the requirement by concurrent control. This article points to use the result of genetic as the initial value of algorithm, and ultimately make use of iteration to complete the forward kinematics. High accuracy and speed are the main features of this calculation, and another one is interpreting from the implementation point of view, which is very practical and meet the concurrent control through experiment.

Study on Oil Film and Pressure Distribution of Micro-EHL

1992 ◽  
Vol 114 (1) ◽  
pp. 42-46 ◽  
Author(s):  
Huang Ping ◽  
Wen Shizhu
Keyword(s):  
Film Thickness ◽  
Smooth Surface ◽  
Contact Region ◽  
Critical Value ◽  
The Other ◽  
Line Contact ◽  
Roughness Amplitude ◽  
Newton Raphson ◽  
Raphson Method ◽  
Very High

Micro-EHL problems of line contact have been solved by Newton-Raphson method. The results are given from the zero roughness amplitude to the value higher than the film thickness in the smooth surface solution. With the increase of the roughness amplitude, cavitations may be found inside the contact region. This situation is predicted by a critical roughness amplitude. The solutions are also given after the roughness exceeds to the critical value. From the results it is found that the film thickness is still thick enough even if the roughness is very high. The other factors to influence on the pressure and film thickness, such as loads, roughness wavelengths and oil compressibility, are considered as well.

scholarly journals Two Step and Newton- Raphson Algorithms in the Extraction for the Parameters of Solar Cell

2021 ◽  
Vol 26 (1) ◽  
pp. 143-154
Author(s):  
Mohammed RASHEED ◽  
Suha SHIHAB ◽  
Taha RASHID
Keyword(s):  
Solar Cell ◽  
Numerical Solution ◽  
Iterative Methods ◽  
Load Resistance ◽  
Initial Value ◽  
Matlab Program ◽  
Pv Cell ◽  
Newton Raphson

The goal of this work is to find a numerical solution of nonlinear solar cell equation. This equation has been instructed using a single-diode model. The proposed method consists of solving the equation using two iterative methods with the initial value . Moreover, the Newton's and Two-step methods are used to determine the required the current, the voltage, and the power of the PV cell in the procedure of the present research. Different values of load resistance have introduced with these methods. The obtained results appeard that the proposed method is the most efficient compare with NRM and all the calculations are achieved using Matlab program.

scholarly journals PEMBUATAN APLIKASI PEMBELAJARAN PENCARIAN AKAR PERSAMAAN

2013 ◽  
Vol 9 (1) ◽  
Author(s):  
Amanda A. Diadema ◽  
Gunawan Santosa ◽  
Nugroho Agus Haryono
Keyword(s):  
Fixed Point ◽  
Numerical Methods ◽  
Undergraduate Students ◽  
The Other ◽  
Root Yield ◽  
Minimal Action ◽  
Newton Raphson ◽  
Learning Software ◽  
Raphson Method

In numerical methods, finding the root of an equation involves iterations to find an estimated root approximating the original root. Several methods that can be used to find the root are Fixed-Point Iteration Method, Newton-Raphson Method, Secant Method and the Muller Method. This learning software is developed to provide a learning media for students to learn how to find the root of an equation. It contains animated explanation of the study material, case study and exercises. The software then tested to users using Usability Test, namely compatibility, consistency, flexibility, learnability, perceptual limitation, and minimal action. Tests performed to undergraduate students who have learned how to find equation root yield these results: Compatibility 86.13%, Consistency 83.73%, Flexibility 84.23%, Learnability 81.87%, Minimal Action 84.80%, and Perceptual Limitation 85.07%. On the other hand, tests performed to undergraduate students who have never learned how to find equation root yield these results: Compatibility 85.33%, Consistency 86.67%, Flexibility 83.47%, Learnability 85.87%, Minimal Action 87.20%, and Perceptual Limitation 82.67%.

The acquisition of Hungarian recursive PPs

2018 ◽  
Vol 4 (1) ◽  
pp. 105-123
Author(s):  
Ágnes Langó-Tóth
Keyword(s):  
Language Acquisition ◽  
Functional Element ◽  
The Other ◽  
Functional Head ◽  
Experiment Subject ◽  
The Given

Abstract In this study an experiment is presented on how Hungarian children interpret two word orders of recursive PPs (subject-PP-verb and PP-subject-verb order). According to the research of Roeper (2011) and Hollebrandse and Roeper (2014), children tend to give conjunctive interpretation to multiple embedded sentences at the beginning of language acquisition. This interpretation later turns into an adult-like, recursive interpretation. Our aim is to discover (i) whether Hungarian children start with conjunction as well, and whether (ii) the apparently more salient functional head lévő appearing in Hungarian recursive PPs can help them to acquire the correct, recursive interpretation early. We also want to find out whether (iii) the word orders in recursive PPs have an influence on the acquisition of children. In this paper two experiments are presented conducted with 6 and 8-year-olds and adults, in which the participants were asked to choose between two pictures. One of the pictures depicted recursive and the other one depicted conjunctive interpretation of the given sentence. In the first experiment subject-PP-verb order was tested, but in the second one sentences were tested with PP-subject-verb order. We will claim that lévő, which is (arguably) a more salient Hungarian functional element than -i, does not help children to acquire the embedded reading of recursive sentences, because both of them are overt functional heads. However, the two types of word orders affect the acquisition of recursive PPs. PP-subject-verb order is easier to compute because the order of the elements in the sentences and the order of the elements in the pictures matches.

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