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Convex Energy Functions for Power Systems Analysis

It is well-known in the power systems literature that the behavior of the transmission power system (under certain simplifying assumptions) can be used to study the post-fault dynamics of a power system and provide principled estimates on dynamic stability margins. In this paper, we study a special feature of the energy function that has previously received little attention: convexity. We prove that the energy function for structure preserving models of power systems is convex under certain reasonable conditions on phases and voltages. Beyond stability analysis, these convexity results have a number of applications. We also outline potential applications to reformulating Optimum Power Flow (OPF), Model Predictive Control (MPC) and identifying the most probable failure (instanton) as convex optimization problems.

Type of Seminar:
IfA Internal Seminar
Dr. Dvijotham Krishnamurthy
Computer Science & Engineering, University of Washington
Oct 24, 2014   11:15

ETZ E7, Gloriastrasse 35
Contact Person:

Florian Dörfler
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Biographical Sketch:
Dvijotham Krishnamurthy is a CMI (Center for the Mathematics of Information, Caltech) postdoctoral fellow working with Prof. Steven Low on control and optimization for power grids. He recently graduated with a PhD from the Computer Science and Engineering Department at the University of Washington. His main research interests lie in developing efficient optimization based techniques for control problems.