TY - GEN
T1 - Power system transient stability design using reachability based stability-region computation
AU - Licheng, Jin
AU - Haifeng, Liu
AU - Kumar, Ratnesh
AU - McCalley, James D.
AU - Elia, Nicola
AU - Ajjarapu, Venkataramana
PY - 2005
Y1 - 2005
N2 - This paper presents a reachability based method to compute the stability region of a stable equilibrium point and uses it to design controls for transient stability of power systems. First, a Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) is obtained for the propagation of the backward reachability set of a nonlinear system. This computation when used to obtain the backward reachable set of a stable equilibrium point yields its stability region. Using the stability regions of various discrete controls (also called modes) transient stability design is performed. For example the effectiveness of a control can be verified by checking whether a post-fault initial state is in the stability region of the system with that control switched on. We illustrate our method by applying it to a single-machine infinite-bus system equipped with series and shunt capacitive compensation.
AB - This paper presents a reachability based method to compute the stability region of a stable equilibrium point and uses it to design controls for transient stability of power systems. First, a Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) is obtained for the propagation of the backward reachability set of a nonlinear system. This computation when used to obtain the backward reachable set of a stable equilibrium point yields its stability region. Using the stability regions of various discrete controls (also called modes) transient stability design is performed. For example the effectiveness of a control can be verified by checking whether a post-fault initial state is in the stability region of the system with that control switched on. We illustrate our method by applying it to a single-machine infinite-bus system equipped with series and shunt capacitive compensation.
KW - Backward reachable set
KW - Level set method
KW - Stability region
KW - Transient stability design
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U2 - 10.1109/NAPS.2005.1560550
DO - 10.1109/NAPS.2005.1560550
M3 - Conference contribution
AN - SCOPUS:33845318865
SN - 0780392558
SN - 9780780392557
T3 - Proceedings of the 37th Annual North American Power Symposium, 2005
SP - 338
EP - 343
BT - Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006
T2 - 37th Annual North American Power Symposium, 2005
Y2 - 23 October 2005 through 25 October 2005
ER -