Summation of probabilistic harmonic vectors [power systems]

Author

Kazibwe, W.E. ; Ortmeyer, T.H. ; Hammam, M.S.A.A.

Author_Institution

Dept. Electr. Eng., Clarkson Univ., Potsdam, NY, USA

Volume

4

Issue

1

fYear

1989

fDate

1/1/1989 12:00:00 AM

Firstpage

621

Lastpage

628

Abstract

A method of determining the magnitude of the sum of random harmonic vectors of arbitrary probability characteristics is presented. Utilization of summation technique, in conjunction with harmonic load flow, to evaluate net harmonic magnitudes due to distributed sources in both deterministic and stochastic networks is discussed. It is demonstrated and stochastic networks is discussed. It is demonstrated that the widely used form of probability density function of the magnitude of the sum of random vectors arises from simplification of the general expressions developed here. To assess its validity, a comparative study between the method developed and Monte Carlo simulation is carried out, showing good agreement. However, the analytical method is a lot faster and provides closed-form expressions for the probability density characteristics of the sum of random vectors

Keywords

harmonics; load flow; power systems; Monte Carlo simulation; deterministic networks; distributed sources; harmonic load flow; probabilistic harmonic vectors; probability density function; stochastic networks; Genetic expression; IEEE members; Load flow; Power system harmonics; Probability density function; Probability distribution; Random variables; Rectifiers; Stochastic processes; Voltage;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.19254

Filename

19254