E Malaknezhad bosra - Department of Electrical Engineering,science and research University,Zanjan,Iran
S Jalilzadeh - Department of Electrical Engineering,science and research University,Zanjan,Iran

The paper presents a new modified recursive newton algorithm for the estimation of Fourier coefficient. If the signals parameter such as frequency or amplitude change, the signal parameters can be estimated in an simple recursive way with minimum difference with actual signal. In conventional newton algorithm it is needed to compute the Jacobean square matrix and that’s time consuming. In proposed method the Jacobean square matrix changes in the upper triangular matrix, so computation of the inverse matrix is so easy. The proposed method is suitable in the power systems with multiple distributed generations and islanding study. The proposed algorithm is demonstrated through the computer simulation in MATLAB. Then, the obtained results are verified by comparison the corresponding results of Gauss-Newton method

Island, Upper triangular matrix, Harmonic