Single-phase transformer model including magnetic hysteresis and eddy currents

In this paper, a single-phase core-type and shell-type transformer model is proposed on the level of state equations. The magnetic hysteresis and the eddy currents effects are successfully included based on the analytical description of the magnetic core topology. Predicted values from simulations are in very good agreement with published measurements and hence, the developed transformer model is a powerful tool for transient and steady-state studies.

[1]  J. Milias-Argitis,et al.  An incremental transformer model for the study of harmonic overvoltages in weak AC/DC systems , 1988 .

[2]  X. S. Chen,et al.  Digital model for transient studies of a three-phase five-legged transformer , 1992 .

[3]  Adam Semlyen,et al.  Investigation of the Inrush Phenomenon a Quasi-Stationary Approach in the Harmonic Domain , 1989, IEEE Power Engineering Review.

[4]  M. Chari,et al.  Finite Element Solution of Saturable Magnetic Field Problems , 1970 .

[5]  D. Jiles,et al.  Numerical determination of hysteresis parameters for the modeling of magnetic properties using the theory of ferromagnetic hysteresis , 1992 .

[6]  D. N. Ewart Digital Computer Simulation Model of a Steel-Core Transformer , 1986, IEEE Power Engineering Review.

[7]  A. Narang,et al.  Topology based magnetic model for steady-state and transient studies for three-phase core type transformers , 1994 .

[8]  D. N. Ewart Digital Computer Simulation Model of a Steel-Core Transformer , 1986, IEEE Transactions on Power Delivery.

[9]  J. Tellinen A simple scalar model for magnetic hysteresis , 1998 .

[10]  Jaime Avila-Rosales,et al.  Nonlinear Frequency Dependent Transformer Model for Electromagnetic Transient Studies in Power Systems , 1982, IEEE Transactions on Power Apparatus and Systems.

[11]  B. Phelps,et al.  Macroscopic models of magnetization , 2000 .

[12]  D. K. Sharma,et al.  Application of Three-Dimensional Electromagnetic Analysis Methods to Electrical Machinery and Devices , 1986 .

[13]  D. Jiles,et al.  Theory of ferromagnetic hysteresis , 1986 .

[14]  Bruce A. Mork,et al.  Five-legged wound-core transformer model: derivation, parameters, implementation and evaluation , 1999 .

[15]  D. Jiles,et al.  Theory of ferromagnetic hysteresis (invited) , 1984 .

[16]  T. H. Barton,et al.  Three Phase Transformer Transients , 1974 .

[17]  T. Henriksen How to Avoid Unstable Time Domain Responses Caused by Transformer Models , 2002 .

[18]  C.M. Arturi Transient Simulation and Analysis of Three-Phase Five-Limb Step-Up Transformer Following an Out-of-Phase Synchronization , 1991, IEEE Power Engineering Review.

[19]  D. G. Ece,et al.  Modeling of Hysteresis and Power Losses in Transformer Laminations , 2002, IEEE Power Engineering Review.

[20]  G. Bertotti General properties of power losses in soft ferromagnetic materials , 1988 .

[21]  J. Pedra,et al.  PSPICE computer model of a nonlinear three-phase three-legged transformer , 2002 .

[22]  Xusheng Chen,et al.  A three-phase multi-legged transformer model in ATP using the directly-formed inverse inductance matrix , 1996 .

[23]  Xusheng Chen,et al.  Negative inductance and numerical instability of the Saturable Transformer Component in EMTP , 2000 .

[24]  Drago Dolinar,et al.  Dynamic model of a three-phase power transformer , 1993 .

[25]  R. Yacamini,et al.  Transformer inrush calculations using a coupled electromagnetic model , 1994 .

[26]  R.-L. Lin,et al.  Magnetizing inrush model of transformers based on structure parameters , 2005, IEEE Transactions on Power Delivery.

[27]  Udaya Annakkage,et al.  An improved low-frequency transformer model for use in GIC studies , 2004 .

[28]  David Jiles,et al.  Theory of ferromagnetic hysteresis: determination of model parameters from experimental hysteresis loops , 1989 .

[29]  Nikos D. Hatziargyriou,et al.  Generalised transformer model based on the analysis of its magnetic core circuit , 1993 .

[30]  O. Ozgonenel,et al.  Time-domain simulation of nonlinear transformers displaying hysteresis , 2006, IEEE Transactions on Magnetics.

[31]  F. de Leon,et al.  Complete transformer model for electromagnetic transients , 1994 .

[32]  O. Mohammed,et al.  Three Dimensional Finite Element Vector Potential Formulation of Magnetic Fields in Electrical Apparatus , 1981, IEEE Transactions on Power Apparatus and Systems.

[33]  J. Milias-Argitis,et al.  Modeling and simulation of a single-phase residential photovoltaic system , 2005, 2005 IEEE Russia Power Tech.

[34]  S. S. Venkata,et al.  A three-phase three-winding core-type transformer model for low-frequency transient studies , 1997 .

[35]  O. Mohammed,et al.  Experimental Verification and Application of the Three Dimensional Finite Element Magnetic Vector Potential Method in Electrical Apparatus , 1981, IEEE Transactions on Power Apparatus and Systems.