Topology based magnetic model for steady-state and transient studies for three-phase core type transformers

Existing matrix models for transformers reproduce specified short-circuit tests, portraying leakage flux in air, but do not explicitly model the core. Therefore, a precise relation between core flux and air flux is not clearly established. Core representation is defined simply on the basis of a spec...

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Bibliographic Details
Published in:IEEE transactions on power systems 1994-08, Vol.9 (3), p.1337-1349
Main Authors: Narang, A., Brierley, R.H.
Format: Article
Language:English
Subjects:
Eddy currents
ELECTRICAL EQUIPMENT
ELECTRICAL TRANSIENTS
Magnetic cores
MAGNETIC FIELDS
MAGNETIC FLUX
Magnetic hysteresis
Magnetic separation
MATHEMATICAL MODELS
POWER TRANSMISSION AND DISTRIBUTION
Saturation magnetization
Steady-state
Testing
Topology
Transformer cores
TRANSFORMERS
TRANSIENTS
VOLTAGE DROP 240100 > Power Systems-- (1990-)
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Summary:Existing matrix models for transformers reproduce specified short-circuit tests, portraying leakage flux in air, but do not explicitly model the core. Therefore, a precise relation between core flux and air flux is not clearly established. Core representation is defined simply on the basis of a specified excitation current (positive- and zero-sequence), permitting linear magnetizing branches to be incorporated in the matrix. Nonlinear inductances are connected separately at winding terminals to introduce core nonlinearities, however these are not identified physically with individual core limbs, making precise accommodation of hysteresis, saturation and eddy current effects difficult. Published models based on the duality existing between magnetic and electric circuits identify a means for correctly interfacing core flux with air flux, permitting core nonlinearities to be incorporated on a physical basis. However practical application of these models has been hampered by a difficulty in deriving the required model parameters. A formulation is presented here to build a topological model based on normally available test data. Results of short-circuit tests are presented demonstrating that existing matrix models can introduce errors.< >
ISSN:0885-8950
1558-0679
DOI:10.1109/59.336132