基于Duffing方程的波浪能发电系统动力学分析

发布时间：2019-02-15 07:43

【摘要】：波浪能以其其分布广泛、储存量大以及捕获装置多样化等优点,受到国内外研究学者与相关政府的青睐,成为最具潜力的可再生新能源之一。本文结合了振荡浮子式和振动能量捕获装置,引入非线性系统,提出了一种基于非线性Duffing方程的波浪能发电装置,,采用非线研究方法对系统动力学模型进行研究分析,探讨在不同参数下的系统动力学特性。首先,提出了新型的机-电-磁耦合波浪能发电装置的结构,对其工作原理进行了说明,并对系统作出了假设,建立该系统的动力学方程,同时对波浪能进行了研究分析,推导出波浪能能量的表达式。其次,对机-电-磁耦合系统中的振荡浮子系统进行了分析。分别对该非线性浮子系统进行定性分析与数值模拟,其中定性分析主要包括势函数分析、恢复力分析、平衡点分析以及Hamilton函数分析等;运用Matlab进行数值模拟分析,研究了不同参数下,振荡浮子的运动特征。再次,对机-电-磁耦合系统进行了分析。利用平均法对非线性动力学方程组进行了求解,并且绘制其幅频曲线,通过该曲线分析系统参数与稳态解、非稳态解之间的关系以及参数与频率带宽之间的关系,得出当参数在某一范围时,系统处于大幅度的周期运动,并且频带变宽,从而实现高效平稳的发电。此外,对耦合系统进行了数值模拟,研究了不同参数下的发电量变化规律。最后,利用液压系统作为中间转换装置,提出了一种机-液-电耦合波浪能发电装置,对该装置的结构及工作原理进行了阐述说明,同时对系统进行了动力学建模,得到了七自由度微分方程组,并且进行了参数选取。运用Simulink模块搭建,进行了仿真分析,研究了不同非线性参数下的系统动力学特征以及输出角速度的变化规律。
[Abstract]:Wave energy is one of the most potential renewable energy sources due to its advantages such as wide distribution, large storage and diversified capture devices, and so on, which is favored by domestic and foreign researchers and relevant governments. In this paper, a wave energy generator based on nonlinear Duffing equation is proposed, which combines the oscillating float type and the vibration energy capture device. The dynamic model of the system is studied and analyzed by using the non-linear research method. The dynamic characteristics of the system under different parameters are discussed. Firstly, the structure of a new type of mechanical-electric-magnetic coupling wave energy generator is proposed, its working principle is explained, the system is hypothesized, the dynamic equation of the system is established, and the wave energy is studied and analyzed. The expression of wave energy is derived. Secondly, the oscillating float system in the mechanical-electric-magnetic coupling system is analyzed. The qualitative analysis and numerical simulation of the nonlinear float system are carried out respectively. The qualitative analysis mainly includes potential function analysis, restoring force analysis, equilibrium point analysis and Hamilton function analysis. The motion characteristics of oscillating float under different parameters are studied by using Matlab numerical simulation. Thirdly, the mechanical-electro-magnetic coupling system is analyzed. The nonlinear dynamic equations are solved by the averaging method, and the amplitude-frequency curves are plotted. The relationship between the system parameters and the steady-state solutions, the unsteady solutions and the relationship between the parameters and the frequency bandwidth is analyzed. It is concluded that when the parameters are in a certain range, the system is in a large amplitude of periodic motion, and the frequency band is widened, so as to achieve efficient and stable power generation. In addition, the coupling system is numerically simulated, and the variation law of electricity generation under different parameters is studied. Finally, using hydraulic system as intermediate conversion device, a kind of mechanical-liquid-electric coupling wave energy generating device is proposed. The structure and working principle of the device are explained, and the dynamic modeling of the system is also carried out. The differential equations of seven degrees of freedom are obtained and the parameters are selected. The dynamic characteristics of the system and the variation law of the output angular velocity under different nonlinear parameters are studied by using the Simulink module and the simulation analysis.
【学位授予单位】：西安理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM612

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