Application of Duality-Based Equivalent Circuits for Modeling Multilimb Transformers Using Alternative Input Parameters

The principle of duality is applied for electromagnetic transient (EMT) modeling of industry scale (i.e. 50, 390 MVA) multilimb transformers. While saturation, hysteresis, deep-saturation, and remanent flux are accounted for, the need for transformer internal design information such as core dimension or material is eliminated. This is achieved by formulating the equivalent circuits with an alternative set of parameters that are either provided by the manufacturer or can be determined using conventional techniques. Open-circuit tests confirm that the models produce accurate excitation currents at different saturation levels when compared with measurement results. Furthermore, the models facilitate correct short-circuit condition with support for arbitrary number of windings. Upon validating the models, inrush current is simulated and the worst-case scenario is determined due to potential remanent flux values. The findings agree with an established EMT simulation model as well as manufacturer analytical approximations. Simulated hysteresis loops are also investigated.

[1]  Steven D. Mitchell,et al.  Initial Parameter Estimates and Constraints to Support Gray Box Modeling of Power Transformers , 2013, IEEE Transactions on Power Delivery.

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

[3]  J. R. Lucas,et al.  Representation of Magnetisation Curves over a Wide Region Using a Non-Integer Power Series , 1988 .

[4]  Bjorn Gustavsen,et al.  Measurement-based frequency-dependent model of a HVDC transformer for electromagnetic transient studies , 2020 .

[5]  J.R. Bailey,et al.  Hysteresis models for system studies , 1976, IEEE Transactions on Power Apparatus and Systems.

[6]  Francisco de Leon,et al.  Experimentally Validated Reversible Single-Phase Multiwinding Transformer Model for the Accurate Calculation of Low-Frequency Transients , 2015, IEEE Transactions on Power Delivery.

[7]  E. Melgoza,et al.  Quasi-3-D Finite-Element Modeling of a Power Transformer , 2017, IEEE Transactions on Magnetics.

[8]  Qiong Wu,et al.  Parameter Estimation of Three-Phase Transformer Models for Low-Frequency Transient Studies From Terminal Measurements , 2017, IEEE Transactions on Magnetics.

[9]  T. R. Specht,et al.  Transformer magnetizing inrush currents , 1951, Electrical Engineering.

[10]  Francisco de Leon,et al.  Dual Reversible Transformer Model for the Calculation of Low-Frequency Transients , 2013, IEEE Transactions on Power Delivery.

[11]  F. de Leon,et al.  Equivalent Circuit for the Leakage Inductance of Multiwinding Transformers: Unification of Terminal and Duality Models , 2012, IEEE Transactions on Power Delivery.

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

[13]  J. E. Holcomb,et al.  Distribution Transformer Magnetizing Inrush Current , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[14]  J. A. Martinez,et al.  Duality Derived Transformer Models for Low-Frequency Electromagnetic Transients—Part I: Topological Models , 2016, IEEE Transactions on Power Delivery.

[15]  C. W. Tate,et al.  Power of the transformers. , 2021, Nursing management.

[16]  Jianhui Zhao,et al.  Topological Transient Models of Three-Phase, Three-Legged Transformer , 2019, IEEE Access.

[17]  Francisco de Leon,et al.  Accurate Measurement of the Air-Core Inductance of Iron-Core Transformers With a Non-Ideal Low-Power Rectifier , 2014, IEEE Transactions on Power Delivery.

[18]  J.A. Martinez,et al.  Dual Three-Winding Transformer Equivalent Circuit Matching Leakage Measurements , 2009, IEEE Transactions on Power Delivery.

[19]  Wade Grant Enright Transformer models for electromagnetic transient studies with particular reference to HVdc transmission. , 1996 .

[20]  Anton Menshov,et al.  Efficiently computing the electrical parameters of cables with arbitrary cross-sections using the method-of-moments , 2018, Electric Power Systems Research.

[21]  V. Centeno,et al.  Continuous vs. Piecewise Hysterisis Model of a Current Transformer , 2006, 2006 Ph.D. Research in Microelectronics and Electronics.

[22]  A. Gole,et al.  Improvement of Transformer Saturation Modeling for Electromagnetic Transient Programs , 2013 .

[23]  Yanhui Gao,et al.  Investigation on Simple Numeric Modeling of Anomalous Eddy Current Loss in Steel Plate Using Modified Conductivity , 2012, IEEE Transactions on Magnetics.

[24]  A. S. Morched,et al.  Modeling and analysis guidelines for slow transients. III. The study of ferroresonance , 2000 .

[25]  J. A. Martinez,et al.  Duality-Derived Transformer Models for Low-Frequency Electromagnetic Transients—Part II: Complementary Modeling Guidelines , 2016, IEEE Transactions on Power Delivery.