Static and Dynamic Hysteresis Models for Studying Transformer Transients

Shortcomings of the classical approach in describing magnetization processes in grain-oriented transformer steel is analyzed. A noniterative method of accounting for hysteresis and dynamic properties of transformer core is proposed. Fitting the model to catalog data is described. The method is illustrated by calculating inrush current produced by subsequent transformer energizations.

[1]  J.H. Krah,et al.  Optimum discretization of a physical Cauer circuit , 2005, IEEE Transactions on Magnetics.

[2]  J. Milias-Argitis,et al.  Single-phase transformer model including magnetic hysteresis and eddy currents , 2008 .

[3]  U.D. Annakkage,et al.  An improved low frequency transformer model for use in GIC studies , 2004, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[4]  Luc Dupré,et al.  Hysteresis Models for Transient Simulation , 2001 .

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

[6]  Nicola Chiesa,et al.  On the ringdown transient of transformers , 2007 .

[7]  F. de Leon,et al.  A simple representation of dynamic hysteresis losses in power transformers , 1995 .

[8]  Reza Iravani,et al.  On the Transformer Core Dynamic Behavior During Electromagnetic Transients , 2010, IEEE Transactions on Power Delivery.

[9]  P. J. Grundy,et al.  Preisach modelling of magnetisation changes in steel , 1995 .

[10]  Maurizio Repetto,et al.  Modeling of electromagnetic phenomena in soft magnetic materials under unidirectional time periodic flux excitations , 1999 .

[11]  T. Meydan,et al.  Use of novel adaptive digital feedback for magnetic measurements under controlled magnetizing conditions , 2005, IEEE Transactions on Magnetics.

[12]  Jianguo Zhu,et al.  Discrete modelling of magnetic cores including hysteresis, eddy current and anomalous losses , 1993 .

[13]  B. Gustavsen,et al.  Parameter determination for modeling system transients-Part I: overhead lines , 2005, IEEE Transactions on Power Delivery.

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

[15]  F. de Leon,et al.  Time domain modeling of eddy current effects for transformer transients , 1993 .

[16]  P. Marketos,et al.  Measurement and Modeling Study of B-H loops and Losses of High Silicon Non Oriented Steels , 2006, INTERMAG 2006 - IEEE International Magnetics Conference.

[17]  Xiangning Lin,et al.  Studies on the Unusual Maloperation of Transformer Differential Protection During the Nonlinear Load Switch-In , 2009, IEEE Transactions on Power Delivery.

[18]  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.

[19]  Udaya Annakkage,et al.  A current transformer model based on the Jiles-Atherton theory of ferromagnetic hysteresis , 2000 .

[20]  Francis Piriou,et al.  Adaptation of the Frequency Dependent Jiles-Atherton Model with B as entry variable , 2004 .

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

[22]  B.A. Mork,et al.  Transformer modeling for low- and mid-frequency transients - a review , 2005, IEEE Transactions on Power Delivery.

[23]  P. Marketos,et al.  Loss Separation in Nonoriented Electrical Steels , 2010, IEEE Transactions on Magnetics.

[24]  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.

[25]  B.A. Mork,et al.  Parameter determination for modeling system transients-Part III: Transformers , 2005, IEEE Transactions on Power Delivery.

[26]  P. Marketos,et al.  Generalization of the Classical Method for Calculating Dynamic Hysteresis Loops in Grain-Oriented Electrical Steels , 2008, IEEE Transactions on Magnetics.

[27]  J. Faiz,et al.  Inrush Current Modeling in a Single-Phase Transformer , 2010, IEEE Transactions on Magnetics.

[28]  P. Marketos,et al.  Congruency-based hysteresis models for transient simulation , 2004, IEEE Transactions on Magnetics.

[29]  P. Marketos,et al.  A viscous-type dynamic hysteresis model as a tool for loss separation in conducting ferromagnetic laminations , 2005, IEEE Transactions on Magnetics.

[30]  K. Zakrzewski,et al.  Method of calculating the electromagnetic field and power losses in ferromagnetic materials, taking into account magnetic hysteresis , 1972 .

[31]  R. M. Del Vecchio,et al.  Loss separation measurements for several electrical steels , 1982 .

[32]  G. Bertotti,et al.  hysteresis in magnetism (electromagnetism) , 1998 .

[33]  C. Graham Physical origin of losses in conducting ferromagnetic materials (invited) , 1982 .

[34]  W.S. Mota,et al.  Current Transformer Model , 2007, IEEE Transactions on Power Delivery.

[35]  E. Della Torre,et al.  Combination hysteresis model for accommodation magnetization , 2005, IEEE Transactions on Magnetics.

[36]  R. H. Pry,et al.  Calculation of the Energy Loss in Magnetic Sheet Materials Using a Domain Model , 1958 .

[37]  Andrew D. Brown,et al.  Optimizing the Jiles-Atherton model of hysteresis by a genetic algorithm , 2001 .

[38]  E. Cardelli,et al.  Theoretical Considerations of Magnetic Hysteresis and Transformer Inrush Current , 2009, IEEE Transactions on Magnetics.

[39]  N. Sadowski,et al.  Finite Element Three-Phase Transformer Modeling Taking Into Account a Vector Hysteresis Model , 2009, IEEE Transactions on Magnetics.

[40]  J.E.L. Bishop,et al.  Enhanced eddy current loss due to domain displacement , 1985 .