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Optimal Power Flow with Stochastic Reserves

Presented by: 
Johanna Mathieu University of Michigan
Date: 
Tuesday 30th April 2019 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
My research seeks to improve the sustainability of electric power systems by developing methods to support the integration of renewable energy sources while maintaining system reliability. In this talk I will describe our efforts to develop approaches to dispatch power systems with reserves provided by stochastic resources like residential air conditioners. We formulate the problem as a chance constrained optimal power flow problem with uncertainty in renewable energy production, load consumption, the capacity of load-based reserves. Solving such problems is challenging because we do not have good models of the uncertainties.  I will describe our work exploring of a variety of solution approaches including distributionally robust optimization, which gives us reliable but costly solutions. I will also describe a novel distributionally robust approach that allow us to leverage structural information about the uncertainty to reduce the conservatism of standard approaches.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons