280 citations · 1.4k across the 75 of their papers we have counts for
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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…
Convexity of Energy-Like Functions: Theoretical Results and Applications to Power System Operations
Krishnamurthy Dvijotham, Steven Low, Michael Chertkov
Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All the…