English

Gather-and-broadcast frequency control in power systems

Optimization and Control 2016-10-10 v2

Abstract

We propose a novel frequency control approach in between centralized and distributed architectures, that is a continuous-time feedback control version of the dual decomposition optimization method. Specifically, a convex combination of the frequency measurements is centrally aggregated, followed by an integral control and a broadcast signal, which is then optimally allocated at local generation units. We show that our gather-and-broadcast control architecture comprises many previously proposed strategies as special cases. We prove local asymptotic stability of the closed-loop equilibria of the considered power system model, which is a nonlinear differential-algebraic system that includes traditional generators, frequency-responsive devices, as well as passive loads, where the sources are already equipped with primary droop control. Our feedback control is designed such that the closed-loop equilibria of the power system solve the optimal economic dispatch problem.

Keywords

Cite

@article{arxiv.1605.09560,
  title  = {Gather-and-broadcast frequency control in power systems},
  author = {Florian Dörfler and Sergio Grammatico},
  journal= {arXiv preprint arXiv:1605.09560},
  year   = {2016}
}
R2 v1 2026-06-22T14:13:40.255Z