TY - GEN
T1 - Improving transient stability of multi-machine power systems
T2 - Synchronization via immersion of a pendular system
AU - Dib, Wissam
AU - Ortega, Romeo
AU - Astolfi, Alessandro
AU - Hill, David
PY - 2011
Y1 - 2011
N2 - In this paper the problem of designing excitation controllers to improve the transient stability of multimachine power systems is addressed adopting two new perspectives. First, instead of the standard formulation of stabilization of an equilibrium point, we aim here at the more realistic objective of keeping the difference between the generators rotor angles bounded and their speeds equal - which is called synchronization in the power literature - and translates into a problem of stabilization of a set. Second, we adopt the classical viewpoint of power systems as a set of coupled nonlinear pendula, and express our control objective as ensuring that some suitable defined pendula dynamics are (asymptotically) immersed into the power system dynamics. Our main contribution is the explicit computation of a control law for the 2-machine system that achieves global synchronization. The same procedure is applicable to the n-machine case, for which the existence of a locally stabilizing solution is established.
AB - In this paper the problem of designing excitation controllers to improve the transient stability of multimachine power systems is addressed adopting two new perspectives. First, instead of the standard formulation of stabilization of an equilibrium point, we aim here at the more realistic objective of keeping the difference between the generators rotor angles bounded and their speeds equal - which is called synchronization in the power literature - and translates into a problem of stabilization of a set. Second, we adopt the classical viewpoint of power systems as a set of coupled nonlinear pendula, and express our control objective as ensuring that some suitable defined pendula dynamics are (asymptotically) immersed into the power system dynamics. Our main contribution is the explicit computation of a control law for the 2-machine system that achieves global synchronization. The same procedure is applicable to the n-machine case, for which the existence of a locally stabilizing solution is established.
UR - http://www.scopus.com/inward/record.url?scp=80053143597&partnerID=8YFLogxK
U2 - 10.1109/acc.2011.5991044
DO - 10.1109/acc.2011.5991044
M3 - Conference contribution
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 1408
EP - 1413
BT - Proceedings of the 2011 American Control Conference, ACC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
ER -