scholarly journals Numerical Analysis of Electrohydrodynamic Flow in a Circular Cylindrical Conduit by Using Neuro Evolutionary Technique

Energies ◽  
2021 ◽  
Vol 14 (22) ◽  
pp. 7774
Author(s):  
Naveed Ahmad Khan ◽  
Muhammad Sulaiman ◽  
Carlos Andrés Tavera Romero ◽  
Fawaz Khaled Alarfaj
Keyword(s):  
Numerical Solutions ◽  
Fitness Function ◽  
Least Square Method ◽  
Approximate Solutions ◽  
Least Square ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Evolutionary Technique ◽  
Generalized Normal Distribution ◽  
The Mathematical Model

This paper analyzes the mathematical model of electrohydrodynamic (EHD) fluid flow in a circular cylindrical conduit with an ion drag configuration. The phenomenon was modelled as a nonlinear differential equation. Furthermore, an application of artificial neural networks (ANNs) with a generalized normal distribution optimization algorithm (GNDO) and sequential quadratic programming (SQP) were utilized to suggest approximate solutions for the velocity, displacements, and acceleration profiles of the fluid by varying the Hartmann electric number (Ha2) and the strength of nonlinearity (α). ANNs were used to model the fitness function for the governing equation in terms of mean square error (MSE), which was further optimized initially by GNDO to exploit the global search. Then SQP was implemented to complement its local convergence. Numerical solutions obtained by the design scheme were compared with RK-4, the least square method (LSM), and the orthonormal Bernstein collocation method (OBCM). Stability, convergence, and robustness of the proposed algorithm were endorsed by the statistics and analysis on results of absolute errors, mean absolute deviation (MAD), Theil’s inequality coefficient (TIC), and error in Nash Sutcliffe efficiency (ENSE).

Research on Generator Excitation Parameter Identification - PSS Low-Pass Link Parameter Identification

2013 ◽  
Vol 805-806 ◽  
pp. 716-720
Author(s):  
Tao Xu ◽  
Tian Long Shao ◽  
Dong Fang Zhang
Keyword(s):  
Mathematical Model ◽  
Parameter Identification ◽  
Least Squares Method ◽  
Least Square Method ◽  
Least Square ◽  
National Standards ◽  
Matlab Software ◽  
Low Pass ◽  
Newton Iterations ◽  
The Mathematical Model

Combined with the contents of the study-PSS low-pass link parameter identification. Least-squares method is selected. Using least-square method for PSS low-pass link mathematical model are also deduced. For the results, because of the mathematical model is solving nonlinear equations, cannot used by the Newton method directly. So we choose to use Newton iterations, with this feature, choose to use MATLAB software to solve the equation. Identification of the use of MATLAB software lags after the PSS parameters obtained recognition results compared with national standards, identifying and verifying the practicability.

Parameter sensitivity analysis and optimum model of the magnetorheological damper’s Bouc–Wen model

2020 ◽  
pp. 107754632095929
Author(s):  
Min Jiang ◽  
Xiaoting Rui ◽  
Wei Zhu ◽  
Fufeng Yang ◽  
Hongtao Zhu ◽  
...  
Keyword(s):  
Parameter Identification ◽  
Fitness Function ◽  
Least Square Method ◽  
Least Square ◽  
Identification Process ◽  
Long Time ◽  
Method Optimization ◽  
Optimum Model ◽  
The One ◽  
Sensitive Parameters

To overcome the shortcomings of the Bouc–Wen model, such as too many parameters, complex identification process, and long time consuming, the sensitivity of parameters was analyzed. A Bouc–Wen optimum model with sensitive parameters to guarantee calculating accuracy was established. First, according to the results of the magnetorheological damper’s mechanical property test, the sensitivity of Bouc–Wen model’s parameters was analyzed by the one-at-a-time method. Optimization of the Bouc–Wen model was completed. Second, the parameters of the Bouc–Wen optimum model were identified under three harmonic excitations. Compared with the original Bouc–Wen model, the differences of calculation accuracy were 0.0055, 0.0007, and 0.0070 respectively. And the convergence rate of the fitness function for parameter identification increased by 67.89%, 49.94%, and 67.24%, respectively. And the iteration time of 1000 iterations was shortened by 36.52%, 25.95%, and 64.11%, respectively. It indicates that the Bouc–Wen optimum model had higher efficiency and certain accuracy in parameter identification process. Then, the calculation accuracy of Bouc–Wen optimum model with independent and coupled mean parameters were analyzed respectively. Finally, the parameters of the Bouc–Wen optimum model and current were fitted by the least square method. The results showed that the Bouc–Wen optimum model can accurately and efficiently simulate the dynamic characteristics of magnetorheological dampers.

Minimum Zone Evaluation of Symmetry Error for Flatness to Flatness Based on the New Generation GPS

2013 ◽  
Vol 662 ◽  
pp. 887-891
Author(s):  
Qian Qian ◽  
Mei Fa Huang ◽  
Huan Yu Li
Keyword(s):  
Least Square Method ◽  
Mathematic Model ◽  
Least Square ◽  
Adaptive Genetic Algorithm ◽  
Machining Error ◽  
Minimum Zone ◽  
New Generation ◽  
Tolerance Method ◽  
The Mathematical Model ◽  
Better Than

Least square method (LSM) is the most popular method used to evaluate machining error nowadays. However, LSM is likely to overestimate the error value, therefore its solution is only approximate and rather than minimum. In order to obtain the minimum, we study the principle of the minimum zone tolerance method (MZT), analyze the characteristics of the new generation GPS, and give the minimum zone mathematic model of the symmetry error for flatness to flatness. For the purpose of optimizing the mathematical model, this paper describes the application of adaptive genetic algorithm to achieve the best estimation. Simultaneously, the process of optimization is realized by MALTAB. Finally, the experiment shows that the evaluation results of MZT is better than evaluation results of LSM.

Error Model and Calibration Analysis of the Flexible Coordinate Measuring Machine

2011 ◽  
Vol 121-126 ◽  
pp. 3273-3277 ◽  
Author(s):  
Fang Li ◽  
Shu Gui Liu ◽  
Lei Zhao
Keyword(s):  
Mathematical Model ◽  
Coordinate Measuring Machine ◽  
Least Square Method ◽  
Coefficient Matrix ◽  
Error Model ◽  
Least Square ◽  
Parameter Calibration ◽  
Measuring Machine ◽  
Improving Accuracy ◽  
The Mathematical Model

A new 5-DOF flexible coordinate measuring machine (CMM) is introduced in this paper, which uses REVO system produced by Renishaw. According to the D-H method, the mathematical model is built, and then the error model of the flexible CMM is derived. The parameter calibration based on the nonlinear least square method is analyzed theoretically. Due to the disadvantages of Gauss-Newton method, LM method is researched, which improved the singularity of the coefficient matrix. The calibration analysis is a basis for improving accuracy of the flexible CMM.

scholarly journals FORMULATION OF MATHEMATICAL MODEL FOR PRODUCTION TURNOVER OF BIODIESEL PLANT BASED ON DIMENSIONAL ANALYSIS AND MULTIPLE REGRESSION

2012 ◽  
pp. 268-276
Author(s):  
ASHWIN S. CHATPALLIWAR ◽  
DR. VISHWAS S. DESHPANDE ◽  
DR. JAYANT P. MODAK ◽  
DR. NILESHSINGH V. THAKUR
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Dimensional Analysis ◽  
Least Square Method ◽  
Least Square ◽  
Design Data ◽  
Dimensionless Equation ◽  
Set Up ◽  
The Mathematical Model ◽  
Data Design

This paper presents the approach for the mathematical modeling of production turnover for the set up of new Biodiesel plant based on the dimensional analysis and multiple regression. Presented production turnover mathematical model is derived based on the generated design data. Design data is generated from the estimated design data. Estimation of design data is carried out based on the assumed plant layouts of different capacities. Dimensional analysis is used to make the independent and dependent variables dimensionless and to get dimensionless equation. Later, multiple regression analysis is applied to this dimensionless equation to obtain the index values based on the least square method. The mathematical model of production turnover is formulated using these obtained index values. Finally, the formulated model is evaluated on the basis of correlation and root mean square error between the computed values by model and the estimated values.

scholarly journals SISTEM PENDUKUNG KEPUTUSAN PREDIKSI JUMLAH PENUMPANG UNTUK EVALUASI KAPASITAS HALTE BUS TRANS JOGJA DENGAN METODE EXPONENTIAL SMOOTHING DAN LEAST SQUARE

Compiler ◽  
2013 ◽  
Vol 2 (1) ◽  
Author(s):  
Dwi Prasetiyo ◽  
Anton Setiawan Honggowibowo ◽  
Yuliani Indrianingsih
Keyword(s):  
Time Series ◽  
Waiting Time ◽  
Exponential Smoothing ◽  
Small Error ◽  
Least Square ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Bus Stop ◽  
Trend Forecasting ◽  
Bus Stops

The increasing number o f passengers Trans Jogja bus stops can result in the existing capacity can not accommodate the number of passengers comfortably. Problems that often arise include delays resulting bus passenger waiting time is longer and there is a buildup of the number of passengers at stops. As a result of these problems, the capacity o f passenger stops can be full so that prospective passengers waiting outside the bus stop. Forecasting is one very important element in the decision. In this study using stationary and trend forecasting the data because the data are not significant changes between time and swell in certain periods and a normal in periods others. Time series methods for forecasting the number o f passengers on the Trans Jogja stop using exponential smoothing calculation and least square. From these calculations the value sought MAD (Mean Absolute Deviation) or least square error is exponential smoothing and forecasting results with small error. Forecasting will be better if it contains fewer possible errors.

Study of Evaluation Method about the Presswork Quality of Digital Inkjet System

2014 ◽  
Vol 540 ◽  
pp. 512-517
Author(s):  
Chang Xian Cheng ◽  
Yan Mei Liang
Keyword(s):  
High Speed ◽  
Evaluation Method ◽  
Orthogonal Experiment ◽  
Least Square Method ◽  
Least Square ◽  
Affecting Factors ◽  
Print Head ◽  
Machine Communication ◽  
The Mathematical Model

At present, the productivity benefits of inkjet printing technology with high speed shows a rapid expanding trends, however, the precondition of which is its high quality presswork. Therefore, one of the top priorities now is to find better way to evaluate the presswork quality scientifically and effectively. A new parameter, ink dot fidelity, was introduced as an evaluation criterion to study the presswork quality in this paper. The four evident effect factors that fluctuated more during the printing process were chosen, such as the paper transmission speed, the print head (nozzle) voltage, the ink cartridge pressure and the distance between the print head and paper, to make the scientific orthogonal experiment design. The fluctuation rules of the ink dot fidelity corresponding to each effecting factors were obtained through intuitively analyzing of the orthogonal tables and the effect curves. Based on the experiment, the test data were fitted and optimized by using the mathematical analysis software of MATLAB and the least-square method. And then the mathematical model for ink dot fidelity and these affecting factors were created. Finally, the user interface (GUI) design platform was developed to improve the man-machine communication and the ink dot fidelity, or the presswork quality.

Profile Voltage on One Phase Cable Channel at Every Distance 17 Meters in All 102 Meter That was 1000 Watt with Least Square Method

2019 ◽  
Vol 16 (12) ◽  
pp. 5175-5179
Author(s):  
Sofiah ◽  
Abdul Majid ◽  
Cekmas Cekdin
Keyword(s):  
Mathematical Model ◽  
Measurement Data ◽  
Least Square Method ◽  
Equation Model ◽  
Least Square ◽  
Cable Channel ◽  
Percentage Difference ◽  
Measurement Results ◽  
The Mathematical Model

In this paper, it is discussed to determine a voltage modeling on a 102 meter one-phase cable channel which is loaded with a 1000 Watt lamp with the least square method. To obtain this method is by measuring the voltage at the points specified in the cable. After the measurement data is obtained then it is calculated to determine the mathematical model with the least square method. The least square method is a method for predicting a certain price. This method is also called the smallest quadratic method with the equation V = a + bX. With V is the measurement voltage (Volt) at distance X from the source, X distance from the source (meter), n ila a and b are calculated based on the measurement data. After the equation model is obtained, then we compare it with the measurement results. This comparison is useful to know what percentage difference between the results of the measurement and calculation.

A Research on the Trajectory Optimization Method of Automatic Feeding Ship

2014 ◽  
Vol 615 ◽  
pp. 153-157
Author(s):  
Zhi Ying Zheng ◽  
De An Zhao ◽  
Yue Ping Sun ◽  
Jian Qing Hong ◽  
Hui Gui Liu
Keyword(s):  
Trajectory Optimization ◽  
Autonomous Navigation ◽  
Optimal Trajectory ◽  
Golden Section ◽  
Least Square Method ◽  
Optimization Method ◽  
Minimum Variance ◽  
Least Square ◽  
Golden Section Method ◽  
The Mathematical Model

This paper introduces an automatic feeding ship that applied in breeding crabs. For realizing autonomous navigation and making feed uniform on the surface of the aquaculture ponds, the GPS and automatic feeding machine are used on the ship. Bait scatters movement was analyzed by the method of physics and geometry which based on the structure and parameters of automatic feeding machine. For getting the mathematical model of bait distribution, the least square method is adopted to fit the experimental data. On this basis, the minimum variance of the bait thickness was selected as the objective function. An optimal trajectory was generated by using golden section method.

scholarly journals The Reliability Evaluation of Antiskid Valve of CRH2 EMUs Based on Bayes Method

2018 ◽  
Vol 47 (4) ◽  
pp. 268-276
Author(s):  
Jianwei Yang ◽  
Xinghui Qiu ◽  
Zhan Chen
Keyword(s):  
Weibull Distribution ◽  
Theoretical Basis ◽  
Least Square Method ◽  
Least Square ◽  
The Other ◽  
Rail Transit ◽  
Bayes Method ◽  
Braking System ◽  
The Mathematical Model ◽  
Two Parameter

This paper takes the antiskid valve of braking system as the object of the research. Two parameter Weibull distribution is established through analyzing the operational principle of antiskid valve. According to the Bayesian Reliability, the cumulative failure probability of antiskid valve is calculated. Meanwhile, the posterior distribution is obtained through Markov Chain Monte Carlo. By contrast with these two methods that the reliability of antiskid valve is obtained. According to the least square method, the undetermined parameters of the two parameter Weibull distribution were solved. Then, through the sensitivity analysis, the mathematical model is proved more robust. This paper provides a certain theoretical basis for the assessment of antiskid valve’s reliability, and it provides the reference to the other valve in braking system of rail transit vehicle. At the end of the paper, the reliability of the whole antiskid system is calculated through GO method on the basis of the parts' reliability is obtained by Bayes method.

Sign in / Sign up

Export Citation Format

Share Document