The Single Instruction Multiple Data (SIMD) architecture, supported by various high-
performance computing platforms, efficiently utilizes data-level parallelism. The SIMD model …

This paper introduces a framework for solving alternating current optimal power flow
(ACOPF) problems using graphics processing units (GPUs). While GPUs have …

With the increasing penetration of distributed energy resources, distributed optimization
algorithms have attracted significant attention for power systems applications due to their …

The interior-point method (IPM) has become the workhorse method for nonlinear
programming. The performance of IPM is directly related to the linear solver employed to …

Numerical algorithms to solve mathematical optimization problems efficiently are essential to
applications in many areas of engineering and computational science. To solve optimization …

We present a scalable solution method based on an alternating direction method of
multipliers and graphics processing units (GPUs) for rapidly computing and tracking a …

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase
optimal power flow in active distribution systems with dynamically changing topologies. To …

Alternating current optimal power flow (ACOPF) problems are nonconvex and nonlinear
optimization problems. Utilities and independent service operators (ISO) require ACOPF to …

We study tightness properties of a Lagrangian dual (LD) bound for the nonconvex
alternating current optimal power flow (ACOPF) problem. We show that the LD bound that …

The future power grid may rely on distributed optimization to determine the set-points for
huge numbers of distributed energy resources. There has been significant work on applying …