Abstract This paper proposes a simple direct control with fast convergence rates under constraints for tracking optimal power of permanent magnet synchronous generator (PMSG) based wind energy conversion system (WECS). The simplicity features are on neglecting the following: predicted control performances, measurement of aerodynamic torque/wind speed and stator currents. The superior features are on very fast and accurate tracking performances with asymptotic convergence and well-regulated stator currents. First, a nonlinear observer is designed to observe both aerodynamic torque and stator currents. The wind speed is then inferred from the estimated aerodynamic torque and consequently, the optimal speed reference is identified. Next, the conditions of asymptotic stability for the closed-loop dynamics are formulated. Finally, a simple direct control is proposed to maximize the convergence rates in transient states and reduce switching frequency in steady states. Comparative studies with finite set model predictive control are presented to validate the advantageous features of the proposed method. The comparative results show that the superiority of the proposed method is proved by better controlled outputs with lower ripples, smaller steady-state tracking errors, faster response in transient-states, good tracking performance even for fast-varying aerodynamic torque, and lower average switching-frequency.

中文翻译：

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基于 PMSG 的风能转换系统的最优功率跟踪通过具有快速收敛速度的约束直接控制

摘要 本文提出了一种在约束下具有快速收敛速度的简单直接控制，用于跟踪基于永磁同步发电机 (PMSG) 的风能转换系统 (WECS) 的最佳功率。简单的特征是忽略以下内容：预测的控制性能、气动扭矩/风速和定子电流的测量。卓越的特性是具有渐近收敛和良好调节的定子电流的非常快速和准确的跟踪性能。首先，设计了一个非线性观测器来观测气动扭矩和定子电流。然后从估计的空气动力扭矩推断风速，从而确定最佳速度参考。接下来，制定了闭环动力学的渐近稳定性条件。最后，提出了一种简单的直接控制来最大化瞬态收敛速度并降低稳态开关频率。提出了与有限集模型预测控制的比较研究，以验证所提出方法的优点。比较结果表明，所提出方法的优越性体现在更好的控制输出、更低的纹波、更小的稳态跟踪误差、更快的瞬态响应、即使对于快速变化的气动扭矩也具有良好的跟踪性能以及更低的平均开关-频率。