### Abstract

A study on the application of estimation theory to predict harmonic bus voltages and line currents which cannot or are not measured directly is proposed. The methodology is based on measurements, state estimators, and harmonic system modeling. A hybrid of quadratic and non-quadratic criterion-based techniques utilizing singular value decomposition is used with a feasible application to large-scale problems. Contrary to the fundamental case, the Jacobian matrix of the power system equations at harmonic frequencies is shown to be ill-conditioned. A robust numerical technique, using linear transformations to scale the Jacobian matrix, is suggested to render the estimation problem solvable in a practical environment.

Original language | English (US) |
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Title of host publication | Proceedings of the Annual North American Power Symposium |

Place of Publication | Los Alamitos, CA, United States |

Publisher | Publ by IEEE |

Pages | 44-53 |

Number of pages | 10 |

ISBN (Print) | 081862115X |

State | Published - 1991 |

Externally published | Yes |

Event | Proceedings of the 22nd Annual North American Power Symposium - Auburn, AL, USA Duration: Oct 15 1990 → Oct 16 1990 |

### Other

Other | Proceedings of the 22nd Annual North American Power Symposium |
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City | Auburn, AL, USA |

Period | 10/15/90 → 10/16/90 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the Annual North American Power Symposium*(pp. 44-53). Los Alamitos, CA, United States: Publ by IEEE.

**Computational enhancements to the power system state estimator at harmonic frequencies.** / Najjar, Maged; Heydt, G. T.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the Annual North American Power Symposium.*Publ by IEEE, Los Alamitos, CA, United States, pp. 44-53, Proceedings of the 22nd Annual North American Power Symposium, Auburn, AL, USA, 10/15/90.

}

TY - GEN

T1 - Computational enhancements to the power system state estimator at harmonic frequencies

AU - Najjar, Maged

AU - Heydt, G. T.

PY - 1991

Y1 - 1991

N2 - A study on the application of estimation theory to predict harmonic bus voltages and line currents which cannot or are not measured directly is proposed. The methodology is based on measurements, state estimators, and harmonic system modeling. A hybrid of quadratic and non-quadratic criterion-based techniques utilizing singular value decomposition is used with a feasible application to large-scale problems. Contrary to the fundamental case, the Jacobian matrix of the power system equations at harmonic frequencies is shown to be ill-conditioned. A robust numerical technique, using linear transformations to scale the Jacobian matrix, is suggested to render the estimation problem solvable in a practical environment.

AB - A study on the application of estimation theory to predict harmonic bus voltages and line currents which cannot or are not measured directly is proposed. The methodology is based on measurements, state estimators, and harmonic system modeling. A hybrid of quadratic and non-quadratic criterion-based techniques utilizing singular value decomposition is used with a feasible application to large-scale problems. Contrary to the fundamental case, the Jacobian matrix of the power system equations at harmonic frequencies is shown to be ill-conditioned. A robust numerical technique, using linear transformations to scale the Jacobian matrix, is suggested to render the estimation problem solvable in a practical environment.

UR - http://www.scopus.com/inward/record.url?scp=0025843271&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025843271&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025843271

SN - 081862115X

SP - 44

EP - 53

BT - Proceedings of the Annual North American Power Symposium

PB - Publ by IEEE

CY - Los Alamitos, CA, United States

ER -