This article investigates the problem of fault detection and reconstruction in direct current microgrids (dc MGs) with nonlinear loads. First, a state-space representation of the dc MG with nonlinear constant power loads (CPLs) is obtained. The faults in components, actuators, and sensors in a dc MG system are modeled by using additive terms in the state-space and measurement equations. A novel robust nonlinear detector is then proposed to estimate and reconstruct the faults. The proposed detector deploys a sliding mode technique and a polytopic linear parameter varying (LPV) approach. The proposed approach utilizes the robustness and simplicity offered by the sliding mode and polytopic LPV approaches to provide a simple, but effective, detector. By employing the Lyapunov stability theory, sufficient detector design conditions are derived in terms of linear matrix inequalities (LMIs) which are numerically solved by convex optimization techniques. The proposed approach is experimentally tested on a practical dc MG benchmark connected to a CPL. Furthermore, the results are compared with other state-of-the-art methods.

中文翻译：

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孤岛非线性直流微电网的故障重建：一种基于 LPV 的滑模观测器方法

本文研究了具有非线性负载的直流微电网 (dc MG) 中的故障检测和重建问题。首先，获得具有非线性恒定功率负载 (CPL) 的直流 MG 的状态空间表示。直流 MG 系统中的组件、执行器和传感器中的故障通过使用状态空间和测量方程中的附加项进行建模。然后提出了一种新颖的鲁棒非线性检测器来估计和重建故障。所提出的检测器采用滑模技术和多面线性参数变化 (LPV) 方法。所提出的方法利用滑动模式和多​​面体 LPV 方法提供的鲁棒性和简单性来提供简单但有效的检测器。利用李雅普诺夫稳定性理论，根据线性矩阵不等式 (LMI) 推导出足够的探测器设计条件，这些线性矩阵不等式通过凸优化技术进行数值求解。所提出的方法在连接到 CPL 的实际直流 MG 基准上进行了实验测试。此外，将结果与其他最先进的方法进行了比较。