Open AccessSolution to the multi‐machine transient stability problem and simulated validation in realistic scenarios
Author(s) -
Casagrande Daniele,
Astolfi Alessandro,
Langarica Diego,
Ortega Romeo
Publication year - 2014
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2013.0373
Subject(s) - control theory (sociology) , transient (computer programming) , benchmark (surveying) , stability (learning theory) , electric power system , computer science , generator (circuit theory) , inertia , operating point , controller (irrigation) , lossy compression , maximum power transfer theorem , power (physics) , mathematical optimization , control (management) , mathematics , engineering , electronic engineering , artificial intelligence , agronomy , physics , geodesy , classical mechanics , quantum mechanics , machine learning , biology , geography , operating system
A solution to the problem of transient stabilisation for multi‐machine power systems, with transfer conductances different from zero, is given. The 3 n ‐dimensional (aggregated) model of the n ‐generator system, with lossy transmission lines, non‐linear loads and excitation control, is considered. A non‐linear dynamic state‐feedback control law that ensures, under some conditions on the physical parameters, global asymptotic stability of the operating point is constructed. To the best of the authors’ knowledge only existence results – with the restrictive assumption of uniform inertia generators – are available to date for this problem. Simulation results on the New England benchmark system illustrate the performance of the proposed controller.