Title
Transient stabilization of multimachine power systems with nontrivial transfer conductances
Abstract
In this paper, we provide a solution to the long-standing problem of transient stabilization of multima- chine power systems with nonnegligible transfer conductances. More specifically, we consider the full -dimensional model of the -generator system with lossy transmission lines and loads and prove the existence of a nonlinear static state feedback law for the generator excitation field that ensures asymptotic stability of the operating point with a well-defined estimate of the domain of attraction provided by a bona fide Lyapunov function. To design the control law we apply the recently introduced interconnection and damping assignment passivity-based control methodology that endows the closed-loop system with a port-controlled Hamil- tonian structure with desired total energy function. The latter consists of terms akin to kinetic and potential energies, thus has a clear physical interpretation. Our derivations underscore the deleterious effects of resistive elements which, as is well known, hamper the assignment of simple "gradient" energy functions and compel us to include nonstandard cross terms. A key step in the construction is the modification of the energy transfer between the electrical and the mechanical parts of the system which is obtained via the introduction of state-modulated interconnections that play the role of multipliers in classical passivity theory.
Year
DOI
Venue
2005
10.1109/TAC.2004.840477
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Power system transients,Power system modeling,Control systems,Power system stability,Propagation losses,Power transmission lines,Transmission line theory,State feedback,Asymptotic stability,State estimation
Passivity,Lyapunov function,Electric generator,Force field (chemistry),Nonlinear system,Operating point,Control theory,Electric power system,Exponential stability,Mathematics
Journal
Volume
Issue
ISSN
50
1
0018-9286
Citations 
PageRank 
References 
32
3.64
7
Authors
5
Name
Order
Citations
PageRank
Romeo Ortega12461368.80
Martha Galaz2404.87
Alessandro Astolfi31554169.77
Yuanzhang Sun4367.68
Tielong Shen524340.52