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.

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.

scholarly journals Quality Enhancement of AC Chopper Using Genetic Algorithm

2015 ◽  
Vol 16 (1) ◽  
pp. 30
Author(s):  
S. Mahendran ◽  
Gnanambal I ◽  
Maheswari A
Keyword(s):  
Genetic Algorithm ◽  
Output Voltage ◽  
Fitness Function ◽  
Harmonic Distortion ◽  
Simulink Model ◽  
Harmonic Elimination ◽  
Global Optima ◽  
Genetic Algorithm Approach ◽  
Newton Raphson ◽  
Raphson Method

This paper mainly deals with the design of AC chopper using Genetic Algorithm based harmonic elimination technique. Genetic Algorithm is used to calculate optimum switching angles to eliminate lower order harmonics in the output voltage. Total Harmonic Distortion of output voltage is calculated from the obtained switching angles and also adopted in the proposed fitness function. Comparative analysis is made for the switching angles obtained by the Newton Raphson method and the proposed Genetic Algorithm. The analysis reveals that the proposed technique is on par with conventional method. Additionally, the Genetic Algorithm approach offers less computational burden, guaranteed global optima in most cases and faster convergence. The proposed method is simulated in Matlab/Simulink model and the results shows that the proposed method works with high effectiveness, accuracy and rapidity.

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>

Application of Genetic Algorithm in Numerical Solution of Analysis Model for Angular-Contact Ball Bearings

2011 ◽  
Vol 411 ◽  
pp. 11-15
Author(s):  
Hao Hao Shi ◽  
You Yun Zhang ◽  
Zhi Zhou ◽  
Peng Wang
Keyword(s):  
Genetic Algorithm ◽  
Ball Bearing ◽  
Contact Theory ◽  
Hertz Contact ◽  
Improved Genetic Algorithm ◽  
Analysis Model ◽  
Initial Value ◽  
Angular Contact Ball Bearing ◽  
Calculation Results ◽  
Raphson Method

In this paper, an angular contact ball bearing analysis model has been established based on Hertz contact theory. Solving nonlinear equations by improved genetic algorithm (IGA) and verified the effectiveness of the method through numerical experiment. The results proved that the adoption of IGA to solve the analysis model of angular contact ball bearing, can effectively resolve the problem of the Newton-Raphson method such as no convergence and need initial value, the calculation results is satisfied.

A Novel Multipurpose Excel Tool for Equilibrium Speciation Based on Newton-Raphson Method and on a Hybrid Genetic Algorithm

2006 ◽  
Vol 96 (1-2) ◽  
pp. 29-49 ◽  
Author(s):  
Silvia del Piero ◽  
Andrea Melchior ◽  
Pierluigi Polese ◽  
Roberto Portanova ◽  
Marilena Tolazzi
Keyword(s):  
Genetic Algorithm ◽  
Hybrid Genetic Algorithm ◽  
Equilibrium Speciation ◽  
Newton Raphson ◽  
Raphson Method

scholarly journals A Computer Model for the Hydraulic Analysis of Open Channel Cross Sections

1996 ◽  
Vol 1 ◽  
pp. 57
Author(s):  
W. H. Shayya ◽  
R. H. Mohtar ◽  
M. S Baasiri
Keyword(s):  
Computer Model ◽  
Cross Sections ◽  
Solution Process ◽  
Initial Guess ◽  
Hydraulic Design ◽  
Implicit Equations ◽  
Actual Solution ◽  
Newton Raphson ◽  
Geometric Elements ◽  
Raphson Method

Irrigation and hydraulic engineers are often faced with the difficulty of tedious trial solutions of the Manning equation to determine the various geometric elements of open channels. This paper addresses the development of a computer model for the design of the most commonly used channel-sections. The developed model is intended as an educational tool. It may be applied to the hydraulic design of trapezoidal , rectangular, triangular, parabolic, round-concered rectangular, and circular cross sections. Two procedures were utilized for the solution of the encountered implicit equations; the Newton-Raphson and the Regula-Falsi methods.  In order to initiate the solution process , these methods require one and two initial guesses, respectively. Tge result revealed that the Regula-Flasi method required more iterations to coverage to the solution compared to the Newton-Raphson method, irrespective of the nearness of the initial guess to the actual solution. The average number of iterations for the Regula-Falsi method was approximately three times that of the Newton-Raphson method.

Mathematical Models of Papermaking

2001 ◽  
Vol 6 (1) ◽  
pp. 9-19 ◽  
Author(s):  
A. Buikis ◽  
J. Cepitis ◽  
H. Kalis ◽  
A. Reinfelds ◽  
A. Ancitis ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Initial Value Problems ◽  
Moisture Transfer ◽  
Bound Water ◽  
Drying Process ◽  
Initial Value ◽  
First Order ◽  
Heat And Moisture ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations. 

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