Harmonic Power Flow in Unbalanced and Polluted Radial Distribution Systems

The main purpose of this paper is the harmonic power flow in multiphase unbalanced radial distribution systems in the presence of non-linear loads and reactive components. It is important to have analytical methodologies to assess the impact and consequences of non-linear loads and shunt capacitors on voltage profile and harmonic distortion in each bus in the power systems. The presented power flow is entirely different from conventional methods applied in transmission power systems. The proposed method in this paper is based on graph theory, and injection current technique. A standard test system, IEEE-13 bus radial unbalanced, is considered for implementation and explanation of the method. To check the accuracy and efficiency of the method, it is also tested on IEEE 34, 37 & 123 bus test feeders. The comparison of results approves robustness and reliability of the method. MATLAB M-file is used to obtain results.