CAJ | 학술논문

对不同风速下水平轴风力发电机旋转叶片的非线性动力学问题进行了研究,将水平轴风力发电机的旋转叶片简化为做定轴转动的柔性旋转悬臂梁,同时考虑叶片的气动力、弹性力和惯性力,建立了脉动风速作用下水平轴风力发电机旋转叶片的非线性动力学模型,利用牛顿定律建立了转动坐标系下叶片的动力学方程,并利用Galerkin离散方法将系统的运动偏微分方程离散为常微分方程.针对1/2亚谐共振-1:3内共振情形,考虑到方程中存在二次非线性项,采用渐进摄动法对该方程进行摄动分析,将其转化为直角坐标下的平均方程.通过数值模拟,得到这种共振情况下的二维相图、三维相图、波形图和频谱图,分析了风速的变化对旋转叶片振动的影响.数值结果表明,随着风速的增大,系统会重复呈现周期运动 -混沌运动 -周期运动.
대불동풍속하수평축풍력발전궤선전협편적비선성동역학문제진행료연구,장수평축풍력발전궤적선전협편간화위주정축전동적유성선전현비량,동시고필협편적기동력、탄성력화관성력,건립료맥동풍속작용하수평축풍력발전궤선전협편적비선성동역학모형,이용우돈정률건립료전동좌표계하협편적동역학방정,병이용Galerkin리산방법장계통적운동편미분방정리산위상미분방정.침대1/2아해공진-1:3내공진정형,고필도방정중존재이차비선성항,채용점진섭동법대해방정진행섭동분석,장기전화위직각좌표하적평균방정.통과수치모의,득도저충공진정황하적이유상도、삼유상도、파형도화빈보도,분석료풍속적변화대선전협편진동적영향.수치결과표명,수착풍속적증대,계통회중복정현주기운동 -혼돈운동 -주기운동.
The nonlinear dynamics of the rotating blade of the Horizontal Axis Wind Turbine(HAWT)under the forces caused by the pulse wind is investigated in this paper.The blade is modeled as a rotating cantilever beam under the actions of aerodynamic forces,elastic forces and inertia forces.The nonlinear governing equation of motion for the rotating cantilevered blade under harmonic wind forces is obtained based on the Newton's law of motion.The Galerkin approach is used to transform the nonlinear partial differential governing equations of motion to a two-degree-of-freedom nonlinear ordinary equations.Due to the quadratic terms,the method of asymptotic perturbation is employed to transform the ordinary equation to the averaged equations in the case of 1/2 subharmonic resonance and 1:3 internal resonance.The planar phase portrait,the three-dimensional phase portrait,the waveform and the frequency spectrum of the averaged equations are obtained by numerical simulations.The influence of the mean wind speed and the stochastic wind speed on the system is studied.The results indicate that the motion of the blade of HAWT follows the following process:from periodic motion to chaotic motion and then to periodic motion.