A Non-linear Decentralized Secondary Frequency Control of islanded Microgrid via Adaptive L₂ Gain Disturbance Attenuation

This paper proposes a non-linear decentralized secondary control with adaptive L2 disturbance attenuation, for the purpose to past the limits that the traditional quadratic nonlinear control based on linearization method in practical application for controlling the motion trajectory which is near the setting point. The proposed Kuramoto coupled phase oscillator microgrid model uses nonlinear phase coupling in place of linear droop mechanism to depict the relationship between power of DGs and frequency of microgrid. From the physical law of coupling oscillator motion and dissipation coordination, the proposed control method can rapidly restore frequency of islanded microgrid and simultaneously guarantee proportional active power sharing Via local measurements, the decentralized framework accordingly obviates the need of any communication links for information broadcast or exchange. Meanwhile, the robustness of the system is enhanced by the adaptive methodology under any parameter perturbation and either linear or non-linear disturbance. Extensive simulation studies validate the scalability of microgrid under plug-and-play operation.