Harmonic Power Flow Studies, Part I—Formulation and solution

Daozhi Xia, G. T. Heydt

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The conventional Newton-Raphson power flow study has been reformulated to permit the inclusion of nonlinear 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 existence of positive, negative, and zero sequence signals are 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.

Original languageEnglish (US)
Pages (from-to)17
Number of pages1
JournalIEEE Power Engineering Review
Issue number6
StatePublished - Jun 1982
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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