Title :
Estimating the stability region of singular perturbation power systems with saturation nonlinearities: an linear matrix inequalitybased method
Author :
Xin, Huanhai ; Gan, Deqiang ; Huang, Meng ; Wang, Kangping
Author_Institution :
Coll. of Electr. Eng., Zhejiang Univ., Hangzhou, China
fDate :
3/1/2010 12:00:00 AM
Abstract :
For power systems with detailed excitation and power system stabiliser (PSS) controller, the authors set up a singular perturbation dynamical model with saturation non-linearities for their small-signal stability analysis. To estimate the stability region of this kind of dynamical systems, they establish a set of conditions under which the stability region can be decomposed into the Cartesian product of a contractive high-dimensional ellipse and a sufficiently large set. A method is provided for estimating the stability region with least conservativeness by introducing an linear matrix inequality-based optimisation model. A simulation on a simple power system is described as well.
Keywords :
linear matrix inequalities; power system dynamic stability; singularly perturbed systems; Cartesian product; high-dimensional ellipse; linear matrix inequality-based method; power system stabiliser controller; saturation nonlinearities; singular perturbation dynamical model; small-signal stability analysis;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2008.0331