
A set‐theoretic model predictive control approach for transient stability in smart grid
Author(s) -
Bagherzadeh Maryam,
Lucia Walter
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0689
Subject(s) - model predictive control , control theory (sociology) , transient (computer programming) , computer science , perturbation (astronomy) , smart grid , convex optimization , computation , grid , controller (irrigation) , mathematical optimization , control engineering , regular polygon , engineering , mathematics , control (management) , algorithm , artificial intelligence , agronomy , physics , geometry , quantum mechanics , electrical engineering , biology , operating system
In this study, the authors deal with the transient stability control problem in smart grids. They consider an operative scenario where a physical fault or a cyber‐attack produces an impulsive perturbation in the state of the system, and a controller must be designed to robustly recover, in a finite‐time, transient stability despite initial perturbation and uncertainties. The authors propose a solution that is based on a low‐demanding model predictive control (MPC) idea that is known as set‐theoretic MPC. They show that such a controller can be used as an emergency controller to deal with the considered scenario. A peculiar capability of the proposed solution is that the worst‐case time to transient stability can be apriori established. Moreover, most of the required computations are moved into an off‐line phase leaving into the on‐line phase a simple and computationally affordable convex optimisation problem. Finally, the authors have conducted an extensive simulation campaign to testify the validity of the proposed solution experimentally and to investigate its performance when contrasted with a competitor scheme.