This work presents a methodology, based on the current injection equations (MICT), for the calculus of the harmonic power flow in three-phase, balanced and unbalanced, electric power systems (MICTH). The developed methodology uses the Newton-Raphson method to obtain the solution of a set of non-linear equations, where the matrix system is built in a blocked form for each harmonic frequency. This mathematical approach permits to represent the interaction between harmonic components of different frequencies. It was also developed models for the main linear and non-linear devices connected to the electric power systems. The MICTH (Three-Phase Harmonic Current Injection Method) and the devices models were implemented in C++ using object-oriented and sparse-matrix programming techniques. The simulation results of the MICTH, obtained in the frequency domain, were validated with simulation results of the ATP/EMTP (Alternative Transients Program of Electromagnetic Transients Program), obtained in the time domain.
Load flow analysis; Power system harmonics; Harmonic simulation; Harmonic modeling; Harmonic analysis
