9 citations · 10 across the 5 of their papers we have counts for
10 papers
Efficient Topology Design Algorithms for Power Grid Stability
Siddharth Bhela, Harsha Nagarajan, Deepjyoti Deka +1
The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dy…
Algorithms for Mitigating the Effect of Uncertain Geomagnetic Disturbances in Electric Grids
Minseok Ryu, Harsha Nagarajan, Russell Bent
Geomagnetic disturbances (GMDs), a result of space weather, pose a severe risk to electric grids. When GMDs occur, they can cause geomagnetically-induced currents (GICs), which sat…
Piecewise Polyhedral Formulations for a Multilinear Term
Kaarthik Sundar, Harsha Nagarajan, Jeff Linderoth +2
In this paper, we present a mixed-integer linear programming (MILP) formulation of a piecewise, polyhedral relaxation (PPR) of a multilinear term using its convex hull representati…
Proving Global Optimality of ACOPF Solutions
S. Gopinath, H. L. Hijazi, T. Weisser +4
We present our latest contributions in terms of mathematical modeling and algorithm development for the global optimization of the ACOPF problem. These contributions allow us to cl…
Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation
Siddharth Bhela, Deepjyoti Deka, Harsha Nagarajan +1
The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on…
Convex Hull Formulations for Mixed-Integer Multilinear Functions
Harsha Nagarajan, Kaarthik Sundar, Hassan Hijazi +1
In this paper, we present convex hull formulations for a mixed-integer, multilinear term/function (MIMF) that features products of multiple continuous and binary variables. We deve…