Synchronization of distributed hydropower units is necessary for ensuring the quality of the electric power produced by renewable sources. In this article, a nonlinear optimal control approach is proposed for stabilization and synchronization of distributed hydropower generators. The dynamic model of the interacting hydropower generation units undergoes approximate linearization with the use of first-order Taylor series expansion and the computation of the associated Jacobian matrices. The linearization point is updated at each time-step of the control method. For the approximately linearized model of the distributed hydropower system an H-infinity feedback controller is designed. This controller achieves solution of the related optimal control problem under model uncertainty and external perturbations. For the computation of the controller’s feedback gains an algebraic Riccati equation is repetitively solved at each iteration of the control algorithm. The global asymptotic stability properties of the control method are proven through Lyapunov analysis. Finally, to achieve state estimation-based control for the system of the distributed hydropower generators the H-infinity Kalman Filter is used as a robust state estimator.

中文翻译：

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分布式水电机组同步非线性优化控制

分布式水电机组同步是确保可再生能源发电质量的必要条件。在本文中，提出了一种用于分布式水电机组稳定和同步的非线性最优控制方法。相互作用的水力发电机组的动态模型通过使用一阶泰勒级数展开和相关雅可比矩阵的计算进行近似线性化。线性化点在控制方法的每个时间步长处更新。针对分布式水电系统的近似线性化模型，设计了H-无穷大反馈控制器。该控制器实现了模型不确定性和外部扰动下相关最优控制问题的求解。为了计算控制器的反馈增益，在控制算法的每次迭代中重复求解代数 Riccati 方程。通过李雅普诺夫分析证明了该控制方法的全局渐近稳定性。最后，为了实现分布式水力发电机系统的基于状态估计的控制，H-无穷大卡尔曼滤波器被用作鲁棒状态估计器。