Participation of open communication network may cause time delays in micro-grid load frequency control(LFC) system. This paper examines the stability problem of micro-grid LFC system with two additive time delays and load disturbance. A novel Lyapunov–Krasovskii functional(LKF) is proposed with the consideration of more augmented terms. With the help of the proposed LKF, a new stability condition is developed by using the auxiliary function-based integral inequality. The relationship is built among the admitted maximum values of two delays, the controller parameters and the bounds of the nonlinear load disturbances. The main results can guide the determination of time delay requirements for micro-grid LFC system with communication network. Finally, the validity of the presented approach is illustrated by simulation case studies based on Matlab.

开放式通信网络的参与可能会导致微电网负载频率控制（LFC）系统中的时间延迟。本文研究了具有两个附加时间延迟和负载扰动的微电网LFC系统的稳定性问题。考虑到更多扩展项，提出了一种新颖的Lyapunov–Krasovskii函数（LKF）。在拟议的LKF的帮助下，使用基于辅助函数的积分不等式开发了新的稳定性条件。该关系建立在两个延迟的允许最大值，控制器参数和非线性负载扰动范围之间。主要结果可指导确定具有通信网络的微电网LFC系统的时延要求。最后，通过基于Matlab的仿真案例研究说明了该方法的有效性。