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Lyapunov Function Family method for Transient Stability Assessment

Transient stability assessment is one of the most challenging computational problems in power systems. Large size of power systems and immense variety of possible contingency scenarios make the brute-force simulation approaches overly prohibitive for practical purposes. Alternative approaches known as direct energy methods in power systems community often suffer from conservativeness and poor scalability. In this talk we will present a novel approach to stability certification based on the construction of nonlinear Lyapunov functions that decay in some neighborhood of operating point. These Lyapunov function form a convex set defines by linear matrix inequalities which allows adaptation of the certificate to the most common contingencies. Moreover, the construction of the certificate can be accomplished in polynomial time and is tractable even for large scale systems. We will discuss the key elements of the Lyapunov function construction and explain how it can be extended to a number of practically relevant security assessment settings. In the end of the talk a number of the other approaches will be discussed that address the problems of uncertainty in load modeling and nonlinear sensitivities of operating point.

Type of Seminar:
IfA Seminar
Prof. Kostya Turitsyn
Mechanical Engineering Department, MIT
Nov 10, 2014   11:15

Contact Person:

Florian Dörfler
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Biographical Sketch:
Konstantin Turitsyn received his M.Sc. degree in Physics and Applied Math from Moscow Institute of Physics and Technology in 2004 and his Ph.D. degree in Physics from Landau Institute for Theoretical Physics, Moscow, in 2007. He currently holds an Esther and Harold Edgerton Assistant Professorship at the Mechanical Engineering Department at MIT. Before joining MIT he was an Oppenheimer fellow at the Los Alamos National Laboratory, working with the Smart Grid research group.