A Hybrid Nonlinear-Least Squares Estimation of Harmonic Signal Levels in Power Systems

Maged Najjar, G. T. Heydt

Research output: Contribution to journalArticle

Abstract

It is expected that guides and recommended practices will be adopted in the United States for the limitation of harmonic currents and voltages in electric power systems. Accordingly it is of interest to use measurements and topological/mathematical methods to identify signal levels which do not comply with these guides and standards. One such methodology is based on measurements, state estimators, and system modelling. This technique is described in this paper and an illustration is given for its application. Specifically, hybrid of nonlinear—least squares method is used for state estimation. This estimation theory is used to calculate (estimate) bus voltages and line currents which can not (or, simply, are not) measured directly. The basis for the least squares estimator is the Kirchhoff current law, and the basis for the nonlinear technique is minimum mismatch power.

Original languageEnglish (US)
Pages (from-to)55
Number of pages1
JournalIEEE Power Engineering Review
Volume11
Issue number1
DOIs
StatePublished - 1991
Externally publishedYes

Fingerprint

Electric potential
State estimation
Electric power systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

A Hybrid Nonlinear-Least Squares Estimation of Harmonic Signal Levels in Power Systems. / Najjar, Maged; Heydt, G. T.

In: IEEE Power Engineering Review, Vol. 11, No. 1, 1991, p. 55.

Research output: Contribution to journalArticle

@article{626105889b4f4fe7a77c4fe6d06a6aa5,
title = "A Hybrid Nonlinear-Least Squares Estimation of Harmonic Signal Levels in Power Systems",
abstract = "It is expected that guides and recommended practices will be adopted in the United States for the limitation of harmonic currents and voltages in electric power systems. Accordingly it is of interest to use measurements and topological/mathematical methods to identify signal levels which do not comply with these guides and standards. One such methodology is based on measurements, state estimators, and system modelling. This technique is described in this paper and an illustration is given for its application. Specifically, hybrid of nonlinear—least squares method is used for state estimation. This estimation theory is used to calculate (estimate) bus voltages and line currents which can not (or, simply, are not) measured directly. The basis for the least squares estimator is the Kirchhoff current law, and the basis for the nonlinear technique is minimum mismatch power.",
author = "Maged Najjar and Heydt, {G. T.}",
year = "1991",
doi = "10.1109/MPER.1991.88667",
language = "English (US)",
volume = "11",
pages = "55",
journal = "IEEE Power Engineering Review",
issn = "0272-1724",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

TY - JOUR

T1 - A Hybrid Nonlinear-Least Squares Estimation of Harmonic Signal Levels in Power Systems

AU - Najjar, Maged

AU - Heydt, G. T.

PY - 1991

Y1 - 1991

N2 - It is expected that guides and recommended practices will be adopted in the United States for the limitation of harmonic currents and voltages in electric power systems. Accordingly it is of interest to use measurements and topological/mathematical methods to identify signal levels which do not comply with these guides and standards. One such methodology is based on measurements, state estimators, and system modelling. This technique is described in this paper and an illustration is given for its application. Specifically, hybrid of nonlinear—least squares method is used for state estimation. This estimation theory is used to calculate (estimate) bus voltages and line currents which can not (or, simply, are not) measured directly. The basis for the least squares estimator is the Kirchhoff current law, and the basis for the nonlinear technique is minimum mismatch power.

AB - It is expected that guides and recommended practices will be adopted in the United States for the limitation of harmonic currents and voltages in electric power systems. Accordingly it is of interest to use measurements and topological/mathematical methods to identify signal levels which do not comply with these guides and standards. One such methodology is based on measurements, state estimators, and system modelling. This technique is described in this paper and an illustration is given for its application. Specifically, hybrid of nonlinear—least squares method is used for state estimation. This estimation theory is used to calculate (estimate) bus voltages and line currents which can not (or, simply, are not) measured directly. The basis for the least squares estimator is the Kirchhoff current law, and the basis for the nonlinear technique is minimum mismatch power.

UR - http://www.scopus.com/inward/record.url?scp=84945725221&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84945725221&partnerID=8YFLogxK

U2 - 10.1109/MPER.1991.88667

DO - 10.1109/MPER.1991.88667

M3 - Article

AN - SCOPUS:84945725221

VL - 11

SP - 55

JO - IEEE Power Engineering Review

JF - IEEE Power Engineering Review

SN - 0272-1724

IS - 1

ER -