Harmonic power flow studies part I — formulation and solution

The conventional Newton-Raphson power flow study has been reformulated to permit the inclusion of non-linear loads. These loads give rise to harmonic signals which propagate throughout the power system. The reformulation is based on the reduction to zero of the mismatch active power and reactive Voltamperes, the imbalance current at harmonic frequencies, and the mismatch apparent voltamperes. Conclusions on the existance of positive, negative, and zero sequence signals is made for harmonic frequencies. The harmonic power flow study formulation is illustrated for a three phase full wave bridge rectifier. A companion paper presents a discussion of the actual computer implementation and several practical examples.