Convergence analysis of the triangular-based power flow method for AC distribution grids

<p>This paper addresses the convergence analysis of triangular-based power flow (PF) method in alternating current radial distribution networks. The PF formulation is made via upper-triangular matrices, which enables finding a general iterative formula that does not require admittance matrix calculations. this carried out by applying Banach fixed-point theorem (BFPT), allows demonstrating under an adequate voltage profile always converges. Numerical validations are made, on well-known 33 and 69 networks test systems. Gauss-seidel, newton-raphson, backward/forward methods considered for sake comparison. All simulations MATLAB software.</p>