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 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.

scholarly journals On the iterative methods for solving fractional initial value problems: new perspective

2021 ◽  
Vol 2 (1) ◽  
pp. 76-81
Author(s):  
Qasem M. Al-Mdallal ◽  
Mohamed Ali Hajji ◽  
Thabet Abdeljawad
Keyword(s):  
Approximate Solution ◽  
Numerical Solution ◽  
Iterative Methods ◽  
Initial Value Problems ◽  
Short Communication ◽  
Initial Value ◽  
New Perspective

In this short communication, we introduce a new perspective for a numerical solution of fractional initial value problems (FIVPs). Basically, we split the considered FIVP into FIVPs on subdomains which can be solved iteratively to obtain the approximate solution for the whole domain.

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 Re-Evaluation Solution Methods for Kepler's Equation of an Elliptical Orbit

2019 ◽  
pp. 2269-2279
Author(s):  
Rasha H. Ibrahim ◽  
Abdul-Rahman H. Saleh
Keyword(s):  
Orbital Period ◽  
Circular Orbit ◽  
Line Element ◽  
Elliptical Orbit ◽  
Orbital Elements ◽  
Initial Value ◽  
Matlab Program ◽  
Solution Methods ◽  
Newton Raphson ◽  
Good Agreement

An evaluation was achieved by designing a matlab program to solve Kepler’s equation of an elliptical orbit for methods (Newton-Raphson, Danby, Halley and Mikkola). This involves calculating the Eccentric anomaly (E) from mean anomaly (M=0°-360°) for each step and for different values of eccentricities (e=0.1, 0.3, 0.5, 0.7 and 0.9). The results of E were demonstrated that Newton’s- Raphson Danby’s, Halley’s can be used for e between (0-1). Mikkola’s method can be used for e between (0-0.6).The term  that added to Danby’s method to obtain the solution of Kepler’s equation is not influence too much on the value of E. The most appropriate initial Gauss value was also determined to be (En=M), this initial value gave a good result for (E) for these methods regardless the value of e to increasing the accuracy of E. After that the orbital elements converting into state vectors within one orbital period within time 50 second, the results demonstrated that all these four methods can be used in semi-circular orbit, but in case of elliptical orbit Danby’s and Halley’s method use only for e ≤ 0.7, Mikkola’s method for e ≤ 0.01 while Newton-Raphson uses for e < 1, which considers more applicable than others to use in semi-circular and elliptical orbit. The results gave a good agreement as compared with the state vectors of Cartosat-2B satellite that available on Two Line Element (TLE).

scholarly journals Modifications to Accelerate the Iterative Algorithm for the Single Diode Model of PV Model

2020 ◽  
Vol 18 (47) ◽  
pp. 33-43
Author(s):  
Mohammed RASHEED ◽  
Suha SHIHAB
Keyword(s):  
Solar Cell ◽  
Nonlinear Equation ◽  
Ambient Temperature ◽  
Equivalent Circuit ◽  
Iterative Algorithm ◽  
Load Resistance ◽  
New Method ◽  
Initial Value ◽  
The Absolute ◽  
Resistance Equation

This paper discussed the solution of an equivalent circuit of solar cell, where a single diode model is presented. The nonlinear equation of this model has suggested and analyzed an iterative algorithm, which work well for this equation with a suitable initial value for the iterative. The convergence of the proposed method is discussed. It is established that the algorithm has convergence of order six. The proposed algorithm is achieved with a various values of load resistance. Equation by means of equivalent circuit of a solar cell so all the determinations is achieved using Matlab in ambient temperature. The obtained results of this new method are given and the absolute errors is demonstrated.

Axisymmetric flow near the critical point on the moving boundary

2010 ◽  
Vol 7 ◽  
pp. 182-190
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Axial Velocity ◽  
Moving Boundary ◽  
Axisymmetric Flow ◽  
Boundary Motion ◽  
Newton Raphson ◽  
Raphson Method

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.

scholarly journals Fractional Newton–Raphson Method Accelerated with Aitken’s Method

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 47
Author(s):  
A. Torres-Hernandez ◽  
F. Brambila-Paz ◽  
U. Iturrarán-Viveros ◽  
R. Caballero-Cruz
Keyword(s):  
Fractional Derivative ◽  
Iterative Methods ◽  
Fractional Integral ◽  
Order Of Convergence ◽  
Fractional Operators ◽  
Speed Of Convergence ◽  
Newton Raphson ◽  
Raphson Method

In the following paper, we present a way to accelerate the speed of convergence of the fractional Newton–Raphson (F N–R) method, which seems to have an order of convergence at least linearly for the case in which the order α of the derivative is different from one. A simplified way of constructing the Riemann–Liouville (R–L) fractional operators, fractional integral and fractional derivative is presented along with examples of its application on different functions. Furthermore, an introduction to Aitken’s method is made and it is explained why it has the ability to accelerate the convergence of the iterative methods, in order to finally present the results that were obtained when implementing Aitken’s method in the F N–R method, where it is shown that F N–R with Aitken’s method converges faster than the simple F N–R.

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