Interharmonic solution of radial and weakly meshed networks via sweeping iterations

This article proposes a steady state solution for radial and weakly meshed networks that include linear/nonlinear elements and electronic devices. Two major characteristics of the proposed technique are: 1) it includes interharmonics, and 2) the solution is carried out through forward/backward sweeping iterations. The sweeping of the linear part is performed in the modified harmonic domain (MHD) which is based on the discrete Fourier transform (DFT). Once the sweeping iteration arrives to nodes with nonlinear elements (or electronic devices), their solution is internally computed in the time domain. The resultant time domain solution variables are converted back to the MHD through application of DFT operations. Then, sweeping continues along the linear network. One of the major goals of the proposed method is the analysis of interharmonics at the buses where the time-varying elements are connected. One of the advantages of sweeping is that avoids Jacobian calculation and its inversion as in traditional Newton-type solution schemes. Both techniques are compared here through an example.