An improved Newton's method and its application in power system

This paper proposed a fast weighting improving method based on an improved Newton's method with third-order convergence, made the intuitive geometric interpretation of the algorithm principle, and constructed a sum function of squared errors to obtain the optimal weighting factor. With a certain example being provided, the results showed that the improved algorithm requires less iterations and less calculating time than the classical Newton's method and the one in references. This improved algorithm is of widespread value in the analysis and calculation of power systems.