280 citations · 1.4k across the 75 of their papers we have counts for
9 papers · 1 filter
Graphical Models for Optimal Power Flow
Krishnamurthy Dvijotham, Pascal Van Hentenryck, Michael Chertkov +2
Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly N…
Solving the power flow equations: a monotone operator approach
Krishnamurthy Dvijotham, Steven Low, Michael Chertkov
The AC power flow equations underlie all operational aspects of power systems. They are solved routinely in operational practice using the Newton-Raphson method and its variants. T…
Construction of power flow feasibility sets
Krishnamurthy Dvijotham, Konstantin Turitsyn
We develop a new approach for construction of convex analytically simple regions where the AC power flow equations are guaranteed to have a feasible solutions. Construction of thes…
Natural Gas Flow Solutions with Guarantees: A Monotone Operator Theory Approach
Krishnamurthy Dvijotham, Marc Vuffray, Sidhant Misra +1
We consider balanced flows in a natural gas transmission network and discuss computationally hard problems such as establishing if solution of the underlying nonlinear gas flow equ…
A differential analysis of the power flow equations
Krishnamurthy Dvijotham, Michael Chertkov, Steven Low
The AC power flow equations are fundamental in all aspects of power systems planning and operations. They are routinely solved using Newton-Raphson like methods. However, there is…
Universal Convexification via Risk-Aversion
Krishnamurthy Dvijotham, Maryam Fazel, Emanuel Todorov
We develop a framework for convexifying a fairly general class of optimization problems. Under additional assumptions, we analyze the suboptimality of the solution to the convexifi…