  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 simulation and optimization problems through the use
of an equivalent circuit formulation. It was demonstrated that large-scale
(80k+ buses) power flow simulations can be robustly solved, independent of the
initial starting point. In this paper, we extend the electronic circuit-based
G-min stepping homotopy method to power flow simulations. Preliminary results
indicate that the proposed algorithm results in significantly better simulation
runtime performance when compared to existing homotopy methods.
