Title: Transient frequency control with regional cooperation for power networks,
Abstract: This paper proposes a centralized and a distributed sub-optimal control
strategy to maintain in safe regions the real-time transient frequencies of a
given collection of buses, and simultaneously preserve asymptotic stability of
the entire network. In a receding horizon fashion, the centralized control
input is obtained by iteratively solving an open-loop optimization aiming to
minimize the aggregate control effort over controllers regulated on individual
buses with transient frequency and stability constraints. Due to the
non-convexity of the optimization, we propose a convexification technique by
identifying a reference control input trajectory. We then extend the
centralized control to a distributed scheme, where each subcontroller can only
access the state information within a local region. Simulations on a IEEE-39
network illustrate our results.