“…Avoiding those investments is possible, thanks to a tool named "load flow analysis" [7], which is able to calculate the needed network information only from the values of load consumed or injected of each node. Load flow analysis is a widely used tool transmission system in several applications, as power generating scheduling [8], and could also be very useful for many applications in distribution networks, such as network analysis [9], load control [10,11], network reconfiguration [12], integration of generation [13], optimal allocation of UPQC [14], and integration of electric vehicle [15]. Several methods had been developed and deployed in the transmission system such as Gauss-Seidel [16], Newton-Raphson [17] and fast-decoupled methods [18].…”