This paper proposes a new islanding detection technique based on the superimposed angle of negative sequence impedance. The proposed technique is designed with the presence of different types of RES (renewable energy sources) in the system. The proposed technique discriminates the islanding events from non-islanding events even at 0% power mismatch. It detects the islanding events within a half-cycle even at the zero power mismatch and also restricts the undesirable tripping due to the several kinds of non-islanding events. The technique is also able to detect islanding under network reconfiguration. For the range of power mismatches, extensive cases of islanding and non-islanding events have been simulated. The technique has been illustrated on a 7-bus reconfigurable microgrid test system with different types of RES in the (RTDS/RSCAD) environment. In this work, islanding has been determined considering each type of RES as targeted DG. The technique has also been demonstrated on a modified IEEE-34 bus system. A comparison of the obtained results has also been performed.