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基于遗传算法的风机叶片的优化设计和建模
Based on Genetic Algorithm Optimized Design and Modeling of Wind Turbine Blades
【作者】 陈小强;
【导师】 司徒国强;
【作者基本信息】 兰州交通大学 , 计算数学, 2013, 硕士
【摘要】 近年来,“能源问题”已经成为人们普遍关注的问题,世界各地对可再生能源的发展非常的重视,我们知道风能是一种很重要的可再生能源,作为“绿色能源”的风能,由于它取之不尽,用之不竭,所以在近几年得到了非常迅猛的发展,世界上不少国家都把开发和利用风能作为一项重要的能源。作为消费大国的中国,近年来由于国家的大力投资和技术支持,风电产业也得到了快速发展。在这一背景下,本文主要对风力发电中风机叶片的外形做了研究和设计,并得到了波纹形仿生风机叶片优化模型。本文的第一章为绪论。在这一章首先介绍了世界各国风力发电的现状和目前中国风电产业的发展现状,其次介绍了本文选题的意义和本文的研究成果。本文的第二章为预备知识和基本原理与假设。重点介绍了最优化问题的一些基本概念和遗传算法的基本步骤和关键的编码技术,然后对本文所设计的波纹形放生风机叶片的减粘降阻原理做了详细的介绍。本文的第三章为仿生风机叶片表面的数学描述式和波纹形曲面的表面积的计算。首先,仿生类比蜣螂鞘翅建立波纹形曲面的数学描述式,然后求解该波纹形曲面的叶片与气流的接触面积。本文的第四章为非凸优化模型与遗传算法求解。在本章根据前一章的面积计算公式以及所研究问题的实际背景情况,建立了非凸优化模型,确定了参数,r的取值范围,然后借助遗传算法在解决复杂优化问题全局解中显现出来的优势,对非凸非光滑模型进行优化求解,最终设计出了在不同风模型下具有减粘功能的曲面仿生叶片。接着是为实算结果与分析总结:实算中首先给定仿生叶片的长和宽分别为a=100cm、 b=20cm,给定仿生风机叶片前端平面部分宽度为c=10cm,然后求得在三种气流类型下的承载力w、 θ、 r、n和气流与风机叶片的接触面积的关系,从而得到了波纹形曲面仿生风机叶片的最优化模型。
【Abstract】 In recent years, the "energy problem" has become a widespread concern,Around theworld is of great importance to the development of renewable energy,We know that windenergy is a very important renewable energy,wind energy as a "green energy",due to itsinexhaustible, inexhaustible, and so has been a very rapid development in recent years, manycountries in the worldregard the development and use of wind energy as an important sourceof energy.As the country of consumption in China in recent years,due to strong investmentand technical support,wind power industry has also been a rapid development.In this context,this paper is mainly on the shape of the fan blades in the wind power do t he research anddesign, and corrugated bionic fan blade optimization model.Chapter1is an introduction. In this chapter,irst introduced the world wind power statusand the status quo of China’s wind power industry development,followed by the researchtopics of significance in this article and this article.Chapter II of this article for the prior knowledge and the basic principles andassumptions. Focuses on the optimization problem of some of the basic concepts and thebasic steps of the genetic algorithm and key coding techniques,then released fan blade designcorrugated Less adhesion and resistance principle to do a detailed introduction.Chapter bionic mathematical description of the fan blade surface and corrugated surfacessurface area calculation.Firstly,biomimetic analogy scarabs Coleoptera create a mathematicaldescription of the formula of the corrugated surfaces,and then solve the blade airflow thecontact area of the corrugated surface.The fourth non-convex optimization model and genetic algorithm.In this chapter, thearea formula of the prev-ious chapter, and the actual background of the research questions,theestablishment of a non-convex optimiza-tion model to determine the range of theparameter,and then with the apparent advantage of genetic algorithm in the global solution tosolve complex optimization problems non-convex and nonsmooth model optimizationsolution,the final design of the the visbreaking function under different wind model surfacesbionic blades.Chapter real count results analyzed and summarized. Given first real count thebionic blade length and width, respectively, given the bionic fan blade part of the width of thefront plane,and then obtained three airflow type bearing capacity,and the relationship of thecontact area of the air flow and fan blades,resulting in the optimization model of the thecorrugated surfaces bionic fan blade.
【Key words】 Mathematical modeling; optimization; genetic algorithm; bionic;