This paper presents a method to solve the power flow problem in radial networks. In the proposed formulation, the load flow equations are written in terms of new variables resulting in a set of 3N equations (2N linear plus N quadratic) for a network with N+l buses. A computationally efficient solution scheme based on the Newton-Raphson method is proposed, and possible simplifications are discussed. Finally, a comparative evaluation of the proposed method's performance against existing algorithms is provided. Keywords: Load Flow, Distribution Systems, Radial Networks. © 1997 IEEE.