Phase Transitions for Optimality Gaps in Optimal Power Flows
05 Jul, 2018 (Thu)
3:00 pm
Room 603, Chow Yei Ching Building

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Dr. Terrence W.K. Mak
Department of Industrial and Operations Engineering
University of Michigan


The Grid Research for Good (GRG) project, funded by ARPA-E, aims at producing test cases for optimal power flow problems with unprecedented fidelity. Our goal is to generate test cases that capture the complexity of actual networks, including a rich set of components that includes HVDC lines and circuit breakers for bus splitting, preventive and corrective actions, and aspects of the underlying control system. Our test cases will be based on the French transmission system, obtained through our partner RTE. The project will also contribute software tools as well as research analysis and methodology.

This talk covers parts of the work performed for the project. We investigate phase transitions on the optimality gaps in Optimal Power Flow (OPF) problem on real-world power transmission systems operated in France. The experimental results study optimal power flow solutions for more than 10,000 scenarios on French networks with various load profiles, voltage feasibility regions, and generation capabilities. The results show that bifurcations between primal solutions and the QC, SOCP, and SDP relaxation techniques frequently occur when approaching congestion points. Moreover, the results demonstrate the existence of multiple bifurcations for certain scenarios when load demands are increased uniformly. We also apply our analysis technique on other benchmarks to validate the generality of our results.


Biography of the speaker:

Terrence W.K. Mak is currently a Research Associate in the Department of Industrial and Operations Engineering, University of Michigan. He works primarily in the Grid Research for Good project funded by ARPA-E, an agency of the Department of Energy. He had recently finished his PhD study in the Research School of Computer Science, The Australian National University (ANU). His PhD work was mostly funded and performed in NICTA, which later merged with Commonwealth Scientific and Industrial Research Organisation (CSIRO) to become Data61. His PhD and post-doc supervisor is Prof. Pascal Van Hentenryck, the Seth Bonder Collegiate Professor at the University of Michigan. He obtained his B.Sc and M.Phil degree from the Dept. of Computer Science and Engineering, Chinese University of Hong Kong.


All are welcome.


Prof. D.J. Hill

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