Complex-Array-Operation Newton Solver for Power Grids Simulations

This paper presents a robust and efficient technique for performing repeated power flow simulations of power networks. The method relies on a vector-based formulation of the power balance equations combined with a complex-array operation Newton solver. It is shown how the method is suitable for advanced simulations of power grids, such as probabilistic analyses, where a large number of scenarios have to be explored in reasonable simulation times. Applications to benchmark single phase networks as well as to unbalanced three phase grids are provided.