2 research outputs found
Distributed transient frequency control in power networks
Modern power networks face increasing challenges in controlling their
transient frequency behavior at acceptable levels due to low inertia and
highly-dynamic units. This paper presents a distributed control strategy
regulated on a subset of buses in a power network to maintain their transient
frequencies in safe regions while preserving asymptotic stability of the
overall system. Building on Lyapunov stability and set invariance theory, we
formulate the transient frequency requirement and the asymptotic stability
requirement as two separate constraints for the control input. Hereby, for each
bus of interest, we synthesize a controller satisfying both constraints
simultaneously. The controller is distributed and Lipschitz, guaranteeing the
existence and uniqueness of the trajectories of the closed-loop system.
Simulations on the IEEE 39-bus power network illustrate the results.Comment: arXiv admin note: substantial text overlap with arXiv:1809.0564
Distributed Transient Frequency Control for Power Networks with Stability and Performance Guarantees
This paper proposes a distributed strategy regulated on a subset of
individual buses in a power network described by the swing equations to achieve
transient frequency control while preserving asymptotic stability. Transient
frequency control refers to the ability to maintain the transient frequency of
each bus of interest in a given safe region, provided it is initially in it,
and ii) if it is initially not, then drive the frequency to converge to this
region within a finite time, with a guaranteed convergence rate. Building on
Lyapunov stability and set invariance theory, we formulate the stability and
the transient frequency requirements as two separate constraints for the
control input. Our design synthesizes a controller that satisfies both
constraints simultaneously. The controller is distributed and Lipschitz,
guaranteeing the existence and uniqueness of the trajectories of the
closed-loop system. We further bound its magnitude and demonstrate its
robustness against measurement inaccuracies. Simulations on the IEEE 39-bus
power network illustrate our results