Newton-Raphson on power flow algorithm and Broyden Method in the distribution system

The application of Newton-Raphson power flow algorithm in the distribution network is summarized and analyzed in this paper. The difference between the Newton Method of distribution network and transmission network and also the advantages and the disadvantages of Newton Method of the distribution network is analyzed to discover a power flow calculation method which has better convergence and less running time, this method must not only retain the disadvantage of Newton Method but also overcome its shortcomings. Then, Because of the advantages of the Newton Method in the distribution network, the Broyden Method which has ultra-linear convergence is introduced in the paper. Without the need to calculate the Jacobian matrix or only once, it can still avoid the numerical instability. Thus, this method is better than Newton Method in the distribution system.