基于数值求解优化非线性桨距角偏差

Optimization of Nonlinear Measurement of Hydraulic Pitch Angle Based on Numerical Solution

风电机组液压变桨的桨距角度测量通常由测量液压缸行程的线性位移传感器变换获得。考虑液压缸行程与桨距角的非线性关系,结合大型风电机组实际应用的液压变桨结构,脱离已有工程软件(如ADAMS)的约束,基于数值求解,通过建立非线性超越方程组,使用牛顿-辛普森方法,从理论上分析了桨距角测量偏差存在的范围,提出线性拟合的偏差较大,不应采用线性拟合,并给出了控制缸行程与桨距角度的多项式拟合函数。计算结果确定了液压缸行程与桨距角度的精确对应关系曲线,为后续液压变桨系统控制设计和载荷计算打下基础。

The hydraulic pitch angle of wind turbine is usually measured by linear displacement sensor installed in hydraulic cylinder.Considering the nonlinear relationship between cylinder stroke and pitch angle,using the practical hydraulic structure of large wind turbine,separating from the constraints of existing engineering software(ADAMS),the problem was solved based on numerical method.through the establishment of nonlinear equations,using Newton-Simpson′s iterative method,the range of pitch angle deviation was analyzed theoretically,and it was proposed that the deviation of the linear fitting is is large and linear fitting should not be used,and the polynomial fitting function between the control cylinder stroke and the pitch angle was given.Calculation results determine the corresponding relationship between the control cylinder stroke and pitch angle accurately,lay the foundations for the hydraulic pitch system controller design and load calculation.