280 citations · 1.4k across the 75 of their papers we have counts for
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Constructing Convex Inner Approximations of Steady-State Security Regions
Hung D. Nguyen, Krishnamurthy Dvijotham, Konstantin Turitsyn
We propose a scalable optimization framework for estimating convex inner approximations of the steady-state security sets. The framework is based on Brouwer fixed point theorem app…
High-voltage solution in radial power networks:Existence, properties and equivalent algorithms
Krishnamurthy Dvijotham, Enrique Mallada, John W Simpson-Porco
The AC power flow equations describe the steady-state behavior of the power grid. While many algorithms have been developed to compute solutions to the power flow equations, few th…
A Framework for Robust Steady-State Voltage Stability of Distribution Systems
Hung D. Nguyen, Krishnamurthy Dvijotham, Suhyoun Yu +1
Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from nor…
Solvability regions of affinely parameterized quadratic equations
Krishnamurthy Dvijotham, Hung Nguyen, Konstantin Turitsyn
Quadratic systems of equations appear in several applications. The results in this paper are motivated by quadratic systems of equations that describe equilibrium behavior of physi…