Wednesdays@NICO Seminar Series, Prof. Todd Murphey

Todd Murphey
Wednesdays@NICO Seminar Series
Wed, May 22, 12:00
ITW Classroom, Ford

TITLE: Topology Scheduling for Power Network Stability

ABSTRACT: How should instabilities be addressed when control authority is limited to discrete changes in the network? Power networks with changes in their topologies are hybrid systems--they have a finite set of governing equations that depend on time and possibly the state of the network. Designing these discrete changes to either minimize or maximize some objective function is the purpose of hybrid optimal control. For instance, one may wish to design time-dependent changes in transmission lines to stabilize a multimachine power network that would otherwise go unstable. Solving the associated optimal control problem is challenging due to the integer constraints on the inputs found in the governing equations. In this talk I will discuss a method that does not require a priori discretization and does not relax the optimization, but does provide guarantees on both convergence and computational complexity. Moreover, at every iteration the algorithm returns a dynamically feasible solution. The method parallels classical gradient descent methods from finite dimensions, but in an infinite-dimensional and nondifferentiable setting, making implementation of the algorithms reasonably straightforward. I will illustrate the algorithmic technique on a standard IEEE power network test case.a

Wednesday, May 22, 2013 - 12:00pm to 1:00pm
ITW Classroom, Ford Design Center Evanston , IL
United States