TY - JOUR
T1 - Transient stabilization of multimachine power systems with nontrivial transfer conductances
AU - Ortega, Romeo
AU - Galaz, Martha
AU - Astolfi, Alessandro
AU - Sun, Yuanzhang
AU - Shen, Tielong
N1 - Funding Information:
Manuscript received February 3, 2004; revised September 13, 2004. Recommended by Associate Editor M. Reyhanoglu. This work was supported in part by the GEOPLEX program of the European Commission with reference code IST-2001-34166, http://www.geoplex.cc, and by the joint Sino-French Laboratory in Informatics, Automation and Applied Mathematics (LIAMA), http://liama.ia.ac.cn/. Part of this work was carried out while R. Ortega and M. Galaz were visiting Tsinghua University. The warm hospitality of this institution is gratefully acknowledged. The work of Martha Galaz was supported in part by the CONACyT of Mexico.
PY - 2005/1
Y1 - 2005/1
N2 - In this paper, 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.
AB - In this paper, 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.
KW - Nonlinear systems
KW - Passivity-based control
KW - Power systems
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=12944260457&partnerID=8YFLogxK
U2 - 10.1109/TAC.2004.840477
DO - 10.1109/TAC.2004.840477
M3 - Artículo
AN - SCOPUS:12944260457
SN - 0018-9286
VL - 50
SP - 60
EP - 75
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 1
ER -