The Analysis of the Convergence of Newton-Raphson Method Based on the Current Injection in Distribution Network Case

This paper applies the Newton-Raphson method based on current injection into the case of distribution network. Firstly, the correction equations of these two methods have been derived and compared. The Jacobian matrix of the traditional Newton-Raphson must be recalculated in each iteration, while the Newton-Raphson method based on current injection only need recalculate the diagonal elements of its Jacobian matrix which mainly consists of admittance matrix’s elements. It reduces the computation and makes the programming easier as well. Based on these, their convergence properties have been derived. Both of them have the quadratic convergence, the only difference is the coefficients. IEEE11 system has been used to test this method, and compared with the traditional Newton-Raphson method. The results show the Newton-Raphson (N-R)method based on current injection reliable and effectively.