This paper is concerned with the robust load frequency control (LFC) of power systems with two time delays in the presence of load disturbance. Firstly, the original power systems with the proportional-integral (PI)-type LFC are converted into an output feedback control system with two time delays. Secondly, an improved reciprocally convex inequality is proposed, and a less conservative robust criterion is derived, which can be used to design the PI-type LFC with robust performance. Then, based on the robust criterion, an algorithm is provided to obtain the PI-type LFC gain and the time delay margin, which effectively convert the coupled nonlinear terms into linear items without solving the inverse of the matrix with row full rank. Finally, simulations are shown to verify the superiority of the presented method.

中文翻译：

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具有两个时滞的电力系统鲁棒负载频率控制

本文涉及在存在负载扰动的情况下具有两个时间延迟的电力系统的鲁棒负载频率控制 (LFC)。首先，将具有比例积分（PI）型 LFC 的原始电力系统转换为具有两个时间延迟的输出反馈控制系统。其次，提出了一种改进的互反凸不等式，并推导出了一个不太保守的鲁棒准则，可用于设计具有鲁棒性能的PI型LFC 。然后，基于鲁棒性准则，提供了一种算法来获得PI型LFC增益和时延裕度，有效地将耦合非线性项转换为线性项，而无需求解行满秩矩阵的逆。最后，通过仿真来验证所提出方法的优越性。