# Distributed bilayered control for transient frequency safety and system stability in power grids

## TL;DR

This paper introduces a bilayered control approach for power grids that ensures transient frequency safety and system stability, utilizing model predictive control and real-time assistance with distributed implementation.

## Contribution

It presents a novel bilayered control strategy combining model predictive and real-time control for frequency safety and stability in power networks.

## Key findings

- Control signals are Lipschitz in the state, ensuring stability.
- Distributed implementation requires only 2-hop neighbor information.
- Simulations validate effectiveness on IEEE 39-bus network.

## Abstract

This paper considers power networks governed by swing nonlinear dynamics and subject to disturbances. We develop a bilayered control strategy for a subset of buses that simultaneously guarantees transient frequency safety of each individual bus and asymptotic stability of the entire network. The bottom layer is a model predictive controller that, based on periodically sampled system information, optimizes control resources to have transient frequency evolve close to a safe desired interval. The top layer is a real-time controller assisting the bottom-layer controller to guarantee transient frequency safety is actually achieved. We show that control signals at both layers are Lipschitz in the state and do not jeopardize stability of the network. Furthermore, we carefully characterize the information requirements at each bus necessary to implement the controller and employ saddle-point dynamics to introduce a distributed implementation that only requires information exchange with up to 2-hop neighbors in the power network. Simulations on the IEEE 39-bus power network illustrate our results.