280 citations · 1.4k across the 75 of their papers we have counts for
12 papers · 1 filter
An efficient nonconvex reformulation of stagewise convex optimization problems
Rudy Bunel, Oliver Hinder, Srinadh Bhojanapalli +2
Convex optimization problems with staged structure appear in several contexts, including optimal control, verification of deep neural networks, and isotonic regression. Off-the-she…
Robust Feasibility of Systems of Quadratic Equations Using Topological Degree Theory
Krishnamurthy Dvijotham, Bala Krishnamoorthy, Yunqi Luo +1
We consider the problem of measuring the margin of robust feasibility of solutions to a system of nonlinear equations. We study the special case of a system of quadratic equations,…
A Sufficient Condition for Small-Signal Stability and Construction of Robust Stability Region
Parikshit Pareek, Konstantin Turitsyn, Krishnamurthy Dvijotham +1
The small-signal stability is an integral part of the power system security analysis. The introduction of renewable source related uncertainties is making the stability assessment…
Robust Optimization for Electricity Generation
Chaithanya Bandi, Krishnamurthy Dvijotham, David Morton +1
We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating c…
Convex Restriction of Power Flow Feasibility Sets
Dongchan Lee, Hung D. Nguyen, Krishnamurthy Dvijotham +1
The convex restriction of the power flow feasible sets identifies the convex subset of power injections where the solution for power flow is guaranteed to exist and satisfy the ope…
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…
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…
Storage Sizing and Placement through Operational and Uncertainty-Aware Simulations
Krishnamurthy Dvijotham, Scott Backhaus, Misha Chertkov
As the penetration level of transmission-scale time-intermittent renewable generation resources increases, control of flexible resources will become important to mitigating the flu…
Operations-Based Planning for Placement and Sizing of Energy Storage in a Grid With a High Penetration of Renewables
Krishnamurthy Dvijotham, Scott Backhaus, Misha Chertkov
As the penetration level of transmission-scale time-intermittent renewable generation resources increases, control of flexible resources will become important to mitigating the flu…