# Distributed Barrier Certificates for Safe Operation of Inverter-Based Microgrids

arXiv: https://arxiv.org/abs/1903.09743 · HTML: https://mlsanity.com/paper/1903.09743/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Mar 2019.

## Built on by (most cited first, 1 of 1)

- [A Barrier Certificate-based Simplex Architecture for Systems with Approximate and Hybrid Dynamics](https://mlsanity.com/paper/2202.09710/) (2022)

## Abstract (arXiv)

Inverter-interfaced microgrids differ from the traditional power systems due to their lack of inertia. Vanishing timescale separation between voltage and frequency dynamics makes it critical that faster-timescale stabilizing control laws also guarantee by-construction the satisfaction of voltage limits during transients. In this article, we apply a barrier functions method to compute distributed active and reactive power setpoint control laws that certify satisfaction of voltage limits during transients. Using sum-of-squares optimization tools, we propose an algorithmic construction of these control laws. Numerical simulations are provided to illustrate the proposed method.