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This book presents the islanding detection of integrated Distributed Generation. In recent years, due to a scarcity of fossil fuels, everyone has been focusing on renewable distributed generation (RDG). This is being done to meet the worldwide need for energy. The downside of RDG systems is that they can break off from the power grid after being connected to it. If the RDG keeps feeding power to the associated load when grid disruptions occur, islanding will occur. IEEE 1547 specifies time limits for the completion of DG interconnection tasks, and one of these tasks is the detection of islanding, which must be completed within two seconds of the task's start. This research provides new and effective islanding detection algorithms for a hybrid distributed generating system connected to the grid. These methods rely on reactive power injection with positive feedback and the rate of frequency change (ROCOF). The frequency and power shift are inputs to a fuzzy rule-based system. The suggested technique is a hybrid of two different optimization algorithms: Random Forest (RF) and Moth Flame Optimisation (MFO). At the objective stage, this technique employs the ROCOF.