High frequency transformer model derived from limited information about the transformer geometry
•Transformer model based on limited information about the transformer geometry.•Complex permeability equivalence principle.•Transformer nodal frequency dependence admittance matrix.•Verification based on lightning impulse tests measurements. To represent transformer behaviour during a transient stat...
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| Published in: | International journal of electrical power & energy systems Vol. 94; pp. 300 - 310 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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01-01-2018
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| Abstract | •Transformer model based on limited information about the transformer geometry.•Complex permeability equivalence principle.•Transformer nodal frequency dependence admittance matrix.•Verification based on lightning impulse tests measurements.
To represent transformer behaviour during a transient state which includes high frequencies, it is necessary to consider the resonances which occur inside the transformer. One strategy is to deduce the transformer model from the measurements of the transformer’s frequency response, another one is to construct the model based on a careful representation of the inside of the apparatus.
In the paper a model is presented which is compatible with EMTP-type software programs based on a finite element method (FEM) calculations and the complex permeability approximation. The model can be classified as a Grey Box transformer model, according to the terminology of the CIGRE. The model’s frequency dependent parameters are derived from limited information about the transformer geometry. State space equations are used to input the model into an electromagnetic transient calculation software program. This approach requires specific mathematical treatments to avoid stability issues during simulations. The model is validated for lightning impulse studies using the field test measurements of over-voltages that had occurred at the external transformer’s terminals. |
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| AbstractList | •Transformer model based on limited information about the transformer geometry.•Complex permeability equivalence principle.•Transformer nodal frequency dependence admittance matrix.•Verification based on lightning impulse tests measurements.
To represent transformer behaviour during a transient state which includes high frequencies, it is necessary to consider the resonances which occur inside the transformer. One strategy is to deduce the transformer model from the measurements of the transformer’s frequency response, another one is to construct the model based on a careful representation of the inside of the apparatus.
In the paper a model is presented which is compatible with EMTP-type software programs based on a finite element method (FEM) calculations and the complex permeability approximation. The model can be classified as a Grey Box transformer model, according to the terminology of the CIGRE. The model’s frequency dependent parameters are derived from limited information about the transformer geometry. State space equations are used to input the model into an electromagnetic transient calculation software program. This approach requires specific mathematical treatments to avoid stability issues during simulations. The model is validated for lightning impulse studies using the field test measurements of over-voltages that had occurred at the external transformer’s terminals. |
| Author | Uglesic, Ivo Jurisic, Bruno Xemard, Alain Paladian, Françoise |
| Author_xml | – sequence: 1 givenname: Bruno surname: Jurisic fullname: Jurisic, Bruno email: bruno.jurisic@fer.hr organization: University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia – sequence: 2 givenname: Ivo surname: Uglesic fullname: Uglesic, Ivo email: ivo.uglesic@fer.hr organization: University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia – sequence: 3 givenname: Alain surname: Xemard fullname: Xemard, Alain email: alain.xemard@edf.fr organization: Électricité de France R&D, 7 boulevard Gaspard Monge, 91120 Palaiseau, France – sequence: 4 givenname: Françoise surname: Paladian fullname: Paladian, Françoise email: francoise.paladian@lasmea.univ-bpclermont.fr organization: Université Clermont Auvergne, Institut Pascal, 24 avenue des Landais, 63177 Aubière, France |
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| Keywords | Grey Box Passivity enforcement Complex permeability Transformer modelling Fitting |
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