Research
Understanding the structure
of electric grids.
I use optimization, probability, and numerical analysis to study how electrical networks behave and how we can make better decisions about them.
Optimization & control
Models of an electric grid balance physical detail with computational cost. My work compares how AC and DC power flow models affect transmission expansion decisions. I also study game-theoretic approaches to voltage control when power injections are uncertain or adversarial.
Probability & uncertainty
Line parameters and outages introduce uncertainty into network models. I use random matrix theory to quantify how these uncertainties affect a grid’s admittance matrix.
Numerical computation
Electrical networks have structure that matters for both algorithms and their limits. My work examines what network structure implies for quantum approaches to power flow, and how to allocate measurement precision for state estimation under a limited communication budget.
For the full publication list and paper links, visit Papers.
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