<Li> Solve for the change in voltage angle and magnitude </Li> <Li> Update the voltage magnitude and angles </Li> <Li> Check the stopping conditions, if met then terminate, else go to step 2 . </Li> <Ul> <Li> Gauss--Seidel method: This is the earliest devised method . It shows slower rates of convergence compared to other iterative methods, but it uses very little memory and does not need to solve a matrix system . </Li> <Li> Fast - decoupled - load - flow method is a variation on Newton - Raphson that exploits the approximate decoupling of active and reactive flows in well - behaved power networks, and additionally fixes the value of the Jacobian during the iteration in order to avoid costly matrix decompositions . Also referred to as "fixed - slope, decoupled NR". Within the algorithm, the Jacobian matrix gets inverted only once, and there are three assumptions . Firstly, the conductance between the buses is zero . Secondly, the magnitude of the bus voltage is one per unit . Thirdly, the sine of phases between buses is zero . Fast decoupled load flow can return the answer within seconds whereas the Newton Raphson method takes much longer . This is useful for real - time management of power grids . </Li> <Li> Holomorphic embedding load flow method: A recently developed method based on advanced techniques of complex analysis . It is direct and guarantees the calculation of the correct (operative) branch, out of the multiple solutions present in the power flow equations . </Li> </Ul>

Load flow solution is always assured in case of