Colloquium (as part of NREL Day)

We examine the problem of real-time optimization of networked systems and develop online algorithms that steer the system towards the optimal system trajectory. Zero-order algorithms are considered, wherein the primal step that involves the gradient of the objective function (and hence requires networked systems model) is replaced by its zero-order approximation with two function evaluations using a deterministic perturbation signal. The evaluations are performed using the measurements of the system output, hence giving rise to a feedback interconnection, with the optimization algorithm serving as a feedback controller. We provide insights on the stability and tracking properties of this interconnection. Finally, we apply this methodology to a real-time optimal power flow problem in power systems, for reference power tracking and voltage regulation.

Hybrid:  Math, 501 and Zoom https://arizona.zoom.us/j/86997964863     Password:  Locute