Topology Control for Multimicrogrid Stabilization

Multimicrogrid (MMG) systems are inherently prone to instabilities, while the topological flexibility of their interconnection networks has potential to stabilize the system, which has not been explored. This paper proposes a novel emergency control approach for MMGs, i.e., topology control, which switches between different topologies of the interconnection network after disturbances to stabilize the system. From the switched system perspective, the underlying core problem of the topology control is stated as a stabilization problem by topology switching, i.e., designing a state-dependent topology switching law and computing the stabilizable region. To address this problem, a multiple Lyapunov functions (MLFs) based stabilization theorem is derived, establishing the theoretical framework; then, the neural MLFs method is developed to find the related MLFs. Finally, numerical studies demonstrate the effectiveness of the topology control in MMG stabilization.