Abstract
In this work the voltage restoration problem in Smart Distribution Network (SDN) is addressed and solved via a fully-distributed delayed controller, where switching communication topologies among different Virtual Microgrids (VMs), obtained via Seagull Optimization Algorithm (SOA), have been enforced to reduce communication burden. The constructive time-delay approach to periodic averaging along with Lyapunov-Krasovskii method are combined to analytically prove the ISS of the entire SDN. Stability criteria, expressed in terms of Linear Matrix Inequalities (LMIs), allows quantifying the upper bounds of parameters ϵ, standing for speed variation of the communication topologies, and input delay. A detailed numerical simulation, carried-out on the IEEE 14-bus distribution network, confirms the effectiveness of the proposed approach in guaranteeing voltage regulation, while counteracting unavoidable input delays.
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