Three-phase harmonic power flow by direct ZBUS method for unbalanced radial distribution systems with passive power filters

In this study, a three-phase harmonic power flow method using graph theory, injection current and sparse matrix techniques for unbalanced radial distribution systems is proposed. In the bus frame of reference, a direct iterative method is adopted. The proposed method can be used for both fundamental and harmonic power flow studies. Four three-phase IEEE test feeders are used to prove the accuracy and efficiency of the proposed method. The test results show that the proposed method is robust and reliable for passive power filter design, especially for full-scale distribution systems.