Asynchronous iterations can be used to implement fixed-point methods such as Jacobi and Gauss-Seidel on parallel computers with high synchronization costs. However, they are rarely considered in practice due to the low convergence rate. This paper describes an implementation on GPUs of a novel Power Flow analysis model using asynchronous iterations. We present our model for the solution of the Power Flow analysis problem, prove its convergence and evaluate its performance for a GPU execution.