The power flow equations relate the power injections and voltages in an electric power
system and are therefore key to many power system optimization and control problems …

The rapid increase of distributed energy resources (DERs) installation at residential and
commercial levels can pose significant technical issues on the voltage levels and capacity of …

Robust simulation is essential for reliable operation and planning of transmission and
distribution power grids. At present, disparate methods exist for steady-state analysis of the …

In this paper, we formulate and solve the ac optimal power flow (AC-OPF) as an equivalent
circuit problem in terms of current, voltage, and admittance state variables. The generator …

Recent development of techniques that improve the convergence properties of power flow
simulation have been demonstrated to facilitate scaling to large system sizes (80k+ buses) …

Robust solving of critical large power flow cases (with 50k or greater buses) forms the
backbone of planning and operation of any large connected power grid. At present, reliable …

Recent advances in power system simulation have included the use of complex rectangular
current and voltage (IV) variables for solving the power flow and three-phase power flow …

The future electric grid will consist of significant penetration of renewable and distributed
generation that is likely to create a homogenous transmission and distribution (T&D) system …

Extension of constant power (PQ) load models to more accurately represent the electric load
behavior in the grid has produced models (eg ZIP) that have been shown to improve the …

Recent advances have shown that the circuit simulation algorithms that allow for solving
highly nonlinear circuits of over one billion variables can be applicable to power system …