51 citations · 123 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
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…
Inverse Stability Problem and Applications to Renewables Integration
Thanh Long Vu, Hung Dinh Nguyen, Alexandre Megretski +2
In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Unders…
Contraction Analysis of Nonlinear DAE Systems
Hung D. Nguyen, Thanh Long Vu, Jean-Jacques Slotine +1
This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attractio…