OPTIMIZATION OF A TRUNCATED CONICAL SHELL WIND TURBINE TOWER

A technique is proposed for the optimization of supports in the form of truncated conical shells with a stepwise change in the wall thickness. The potential energy of deformation, the maximum displacement of the structure and the first frequency of natural vibrations were selected as optimization criteria. The solution is performed using nonlinear optimization methods in combination with the finite element method in the Matlab environment.

Calibration of a Nonlinear DC Motor under Uncertainty Using Nonlinear Optimization Techniques

The use of DC motors is increasingly high and it has more parameters which should be normalized. Now the calibration of each parameters is important for each motor, because it affects in its performance and accuracy. A lot of researches are investigated in this area. In this paper demonstrated how to estimate the parameters of a Nonlinear DC Motor using different Nonlinear Optimization techniques of fitting parameters to model, that called model calibration. First, three methods for calibration of a DC motor are defined, then unknown parameters of the mathematical model with the nonlinear optimization techniques for the fitting routines and model calibration process, are identified. In addition, three optimization techniques such as Levenberg-Marquardt, Constrained Nonlinear Optimization and Gauss-Newton, are compared. The goal of this paper is to estimate nonlinear parameters of a DC motor under uncertainty with nonlinear optimization methods by using LabVIEW software as an industrial software and compare the nonlinear optimization methods based on position, velocity and current. Finally, results are illustrated and comparison between these methods based on the results are made.

Estimation of Beta-Pareto Distribution Based on Several Optimization Methods

This paper is concerned with the maximum likelihood estimators of the Beta-Pareto distribution introduced in Akinsete et al. (2008), which comes from the mixing of two probability distributions, Beta and Pareto. Since these estimators cannot be obtained explicitly, we use nonlinear optimization methods that numerically provide these estimators. The methods we investigate are the method of Newton-Raphson, the gradient method and the conjugate gradient method. Note that for the conjugate gradient method we use the model of Fletcher-Reeves. The corresponding algorithms are developed and the performances of the methods used are confirmed by an important simulation study. In order to compare between several concurrent models, namely generalized Beta-Pareto, Beta, Pareto, Gamma and Beta-Pareto, model criteria selection are used. We firstly consider completely observed data and, secondly, the observations are assumed to be right censored and we derive the same type of results.

Optimization of the cross-sectional shape of the belts of trihedral lattice supports

The article considers the problem of optimizing the geometric parameters of the cross section of the belts of a trihedral lattice support in the shape of a pentagon. The axial moment of inertia is taken as the objective function. Relations are found between the dimensions of the pentagonal cross section at which the objective function takes the maximum value. We introduce restrictions on the constancy of the consumption of material, as well as the condition of equal stability. The solution is performed using nonlinear optimization methods in the Matlab environment.

Optimization of the Effective Heat Supply Radius for the District Heating Systems

The problem of determining the effective (optimal) heat supply radius is considered. Heat supply radius is transportation distance of heat energy in the district heating systems (DHS), under which the highest indices of economic efficiency of district heating to consumers are respected. To solve this difficult and multifactorial problem, a bi-level approach has been proposed. This approach allows finding the optimal frameworks of territorial areas of district heating while fulfilling the necessary requirements for thermal-hydraulic modes in heat networks and for reliability of heating to consumers. Methodology for solving the formulated problem is based on bi-level programming methods, models of Theory of hydraulic circuits, nonlinear optimization methods, nodal reliability indices (availability factor, failure-free operation probability), Markov random processes models and other methods and models. A case study has been conducted using the developed methodological apparatus for the actual DHS scheme of the Irkutsk city (Russia, Siberia).