Detailed modeling of eddy current effects for transformer transients

Francisco de León; Adam Semlyen

doi:10.1109/61.296301

Detailed modeling of eddy current effects for transformer transients

Francisco de León, Adam Semlyen

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A detailed time domain model for the eddy current losses in the windings of a transformer is presented. The basic elements for the derivation of the model are the turns which may be combined into sections. The model is expressed as an R-matrix. Its diagonal elements were fitted using a series Foster circuit while for the off-diagonal elements we used the basis functions of the Foster circuits to derive the time domain model in the form of state equations. For validation, the losses computed with the detailed model are compared with those obtained by considering full windings. The frequency response of the transformer model is compared with test results. Simulations are presented for illustration and further validation.

Original language	English (US)
Pages (from-to)	1143-1150
Number of pages	8
Journal	IEEE Transactions on Power Delivery
Volume	9
Issue number	2
DOIs	https://doi.org/10.1109/61.296301
State	Published - Apr 1994

Keywords

Eddy currents
Electromagnetic transients
State equation approximation
Transfer function matrices
Transformer modeling

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1109/61.296301

Cite this

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title = "Detailed modeling of eddy current effects for transformer transients",

abstract = "A detailed time domain model for the eddy current losses in the windings of a transformer is presented. The basic elements for the derivation of the model are the turns which may be combined into sections. The model is expressed as an R-matrix. Its diagonal elements were fitted using a series Foster circuit while for the off-diagonal elements we used the basis functions of the Foster circuits to derive the time domain model in the form of state equations. For validation, the losses computed with the detailed model are compared with those obtained by considering full windings. The frequency response of the transformer model is compared with test results. Simulations are presented for illustration and further validation.",

keywords = "Eddy currents, Electromagnetic transients, State equation approximation, Transfer function matrices, Transformer modeling",

author = "{de Le{\'o}n}, Francisco and Adam Semlyen",

note = "Funding Information: Financial support by the Naturhl Sciences and Engineering Research Council of Canada is gratefully acknowledged. The firs! author wishes to express his gratitude to the Instituto Politdcnico Nacional, Mexico, for the study leave at the University of Toronto.",

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AU - de León, Francisco

AU - Semlyen, Adam

N1 - Funding Information: Financial support by the Naturhl Sciences and Engineering Research Council of Canada is gratefully acknowledged. The firs! author wishes to express his gratitude to the Instituto Politdcnico Nacional, Mexico, for the study leave at the University of Toronto.

PY - 1994/4

Y1 - 1994/4

N2 - A detailed time domain model for the eddy current losses in the windings of a transformer is presented. The basic elements for the derivation of the model are the turns which may be combined into sections. The model is expressed as an R-matrix. Its diagonal elements were fitted using a series Foster circuit while for the off-diagonal elements we used the basis functions of the Foster circuits to derive the time domain model in the form of state equations. For validation, the losses computed with the detailed model are compared with those obtained by considering full windings. The frequency response of the transformer model is compared with test results. Simulations are presented for illustration and further validation.

AB - A detailed time domain model for the eddy current losses in the windings of a transformer is presented. The basic elements for the derivation of the model are the turns which may be combined into sections. The model is expressed as an R-matrix. Its diagonal elements were fitted using a series Foster circuit while for the off-diagonal elements we used the basis functions of the Foster circuits to derive the time domain model in the form of state equations. For validation, the losses computed with the detailed model are compared with those obtained by considering full windings. The frequency response of the transformer model is compared with test results. Simulations are presented for illustration and further validation.

KW - Eddy currents

KW - Electromagnetic transients

KW - State equation approximation

KW - Transfer function matrices

KW - Transformer modeling

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Detailed modeling of eddy current effects for transformer transients

Abstract

Keywords

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