DocumentCode :
1210821
Title :
Transient stabilization of multimachine power systems with nontrivial transfer conductances
Author :
Ortega, R. ; Galaz, M. ; Astolfi, A. ; Yuanzhang Sun ; Shen, T.
Author_Institution :
Lab. des Signaux et Syst., Supelec, Gif-sur-Yvette, France
Volume :
50
Issue :
1
fYear :
2005
Firstpage :
60
Lastpage :
75
Abstract :
We provide a solution to the long-standing problem of transient stabilization of multimachine power systems with nonnegligible transfer conductances. More specifically, we consider the full 3n-dimensional model of the n-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 Hamiltonian 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.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; damping; electric generators; machine control; nonlinear control systems; power system control; state feedback; 3n-dimensional model; Lyapunov function; asymptotic stability; closed-loop system; damping assignment passivity-based control methodology; multimachine power systems; n-generator system; nonlinear static state feedback law; nontrivial transfer conductances; port-controlled Hamiltonian structure; state-modulated interconnections; transient stabilization; Asymptotic stability; Control systems; Power system modeling; Power system stability; Power system transients; Power transmission lines; Propagation losses; State estimation; State feedback; Transmission line theory; Nonlinear systems; passivity-based control; power systems; stability;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2004.840477
Filename :
1381648
Link To Document :
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