The mechanical power of the wind turbine has a cubic relationship with wind speed. Therefore, during high wind speed, the output power of wind turbine driven permanent magnet synchronous generator (PMSG) needs to be maintained at rated value effectively. This can be achieved by the pitch angle control of the wind turbine. In this paper, a new application of the fractional‐order nonlinear proportional‐integral‐derivative (FONPID) controller is proposed to control the pitch angle of the wind turbine. The FONPID controller is derived from the fundamental structure of the proportional‐integral‐derivative (PID) controller, wherein the fractional operators are implemented to integral and derivative gains; also the integrator value is changed with respect to the magnitude of the error over the simulation period. Moreover, the gains of the proposed FONPID pitch angle controller are well‐optimized using parameter‐less teaching‐learning based optimization (TLBO) algorithm. The effectiveness of the proposed FONPID pitch angle controller is evaluated with regard to minimization of percentage overshoot, rise time, settling time, and also oscillation around the average output power. Furthermore, the performance of the TLBO tuned FONPID pitch angle controller is compared with the performance of TLBO tuned gain‐scheduled PID (GSPID), fractional‐order PID (FOPID), and nonlinear PID (NPID) based pitch angle controllers.

中文翻译：

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基于PMSG的风能系统的一种新颖的基于分数阶非线性PID的桨距角控制策略

风力涡轮机的机械功率与风速具有立方关系。因此，在高风速时，需要有效地将风力发电机驱动的永磁同步发电机（PMSG）的输出功率保持在额定值。这可以通过风力涡轮机的俯仰角控制来实现。本文提出了分数阶非线性比例积分微分（FONPID）控制器的新应用，以控制风力发电机的俯仰角。FONPID控制器是从比例积分微分（PID）控制器的基本结构派生而来的，其中分数运算符可实现积分和微分增益。积分值也随模拟周期内的误差大小而变化。此外，提出的FONPID俯仰角控制器的增益可以使用无参数的基于学习的优化算法（TLBO）进行优化。就最小化超调百分比，上升时间，稳定时间以及平均输出功率附近的振荡的最小化，评估了所提出的FONPID俯仰角控制器的有效性。此外，将TLBO调谐的FONPID俯仰角控制器的性能与TLBO调谐的增益预定PID（GSPID），分数阶PID（FOPID）和基于非线性PID（NPID）的俯仰角控制器的性能进行了比较。稳定时间，以及平均输出功率附近的振荡。此外，将TLBO调谐的FONPID俯仰角控制器的性能与TLBO调谐的增益预定PID（GSPID），分数阶PID（FOPID）和基于非线性PID（NPID）的俯仰角控制器的性能进行了比较。稳定时间，以及平均输出功率附近的振荡。此外，将TLBO调谐的FONPID俯仰角控制器的性能与TLBO调谐的增益预定PID（GSPID），分数阶PID（FOPID）和基于非线性PID（NPID）的俯仰角控制器的性能进行了比较。