波浪能装置设计模型及其解析求解

Design Model of Wave Energy Device and its Analytical Solution

本文通过对波浪能装置设计模型进行简化,得出一种快速且准确地提升波浪能转化效率的解决方案.首先,从分析波浪能装置在海水中的垂荡运动出发,将该装置简化为多自由度线性系统,通过分别对浮子和振子进行受力分析、建立微分方程,利用数值模拟的方式求解,给出浮子和振子从静止到进行垂荡运动各时刻的运动状态;然后,通过调节阻尼器阻尼系数的形式及其数值,计算出使得PTO系统平均输出功率最大的阻尼系数;最后,通过对弹簧刚度的稳定性检验说明该模型可拓展至其他不同的情况,具有普适性.本文模型对于提高波浪能装置的能量转换效率具有指导意义.

Starting from the analysis of the vertical motion of the wave energy device in seawater,regardless of the influence of the seawater pitching excitation force,it can be considered that the device is a multi-degree-of-freedom linear system,and the motion state of the float and oscillator at each moment from rest to vertical motion is derived by analyzing the force of the float and oscillator respectively,establishing differential equations,and using the ode45 functional function in MATLAB to solve.Then,by adjusting the relevant parameters of the damping coefficient of the linear damper and the rotary damper,the damping coefficient and other related parameters that make the PTO system output the maximum power are calculated,and the energy conversion efficiency of the wave energy device is theoretically maximized.Finally,we can get the damping coefficient with the largest average output power of the PTO system by using the motion frequency of the float and oscillator in the steady state to be equal to that of the wave.