Laboratory Supported Lectures on Modeling: Transformer Case
DOI:
https://doi.org/10.18618/REP.2005.1.006011Keywords:
Inrush current, modeling process, power electronics laboratory, saturation, transformer modelsAbstract
The modeling process of a component or system consists of several steps, which are rarely entirely covered in undergraduate courses. Moreover, theoretical and laboratory lectures focus on different stages on modeling, and are commonly taught at different periods, which may negatively affect the learning process. Thus, this paper proposes a set of lectures that mixes theory and experiments, taught in an experimental laboratory, and which address all steps of modeling process. The case study is a single-phase transformer, where from a conceptual (electromagnetic) model, physical (electrical) models are developed up to a model capable of representing more complex phenomena such as inrush currents and magnetizing inductance saturation. Increasingly detailed theoretical modeling, using simulation tools and experimental measurements, guides the student in this process. It is shown that models can be improved at the expense of deeper understanding of the involved phenomena, and of more complex theoretical and experimental strategies to validate them. Moreover, this paper demonstrates that modeling complexity is only necessary up to a point which explains adequately the experimental results. Finally, the paper presents the perception of the students on the lectures, indicating that this teaching methodology can be adequate for other courses on system modeling.
Downloads
References
H. L. S. Almeida, “Modelagem matemática de sistemas físicos [Mathematical modeling of physical systems]”, 2023, [Online], in Portuguese, available: http://del.ufrj.br/~heraldo/eel660_slides_04_Modelagem_Matematica_de_Sistemas_Fisicos.pdf .
T. H. Sloane, "Laboratories for an undergraduate course in power electronics," IEEE Trans. Education, vol. 38, no. 4, pp. 365-369, Nov. 1995, doi: https://doi.org/10.1109/13.473158. DOI: https://doi.org/10.1109/13.473158
J. A. Pomilio, “Atividades Didáticas Experimentais em Eletrônica de Potência: Convergindo Conhecimentos e Tecnologias”, Eletrônica de Potência, vol. 25, no. 2, pp. 146–153, Jun. 2020, doi: https://doi.org/10.18618/REP.2020.2.0023. DOI: https://doi.org/10.18618/REP.2020.2.0023
S. Lotfifard, “Teaching Electrical Model of Power Transformers to Undergraduate Students: Magnetic Circuit Approach” Physics Education, 2021, doi: https://doi.org/10.48550/arXiv.2103.17257.
L. Matakas, V. N. Machado, F. O. Martinz and W. Komatsu, “Learning Transformer Modeling: A Laboratory Approach for Undergraduate Lectures”, in Proc of SPEC/COBEP, Florianopolis, Brazil, pp. 1-8, 2023, doi: https://doi.org/10.1109/SPEC56436.2023.10408680. DOI: https://doi.org/10.1109/SPEC56436.2023.10408680
D. W. Hart, Introduction to Power Electronics, Prentice Hall, 1st Edition, Upper Saddle River, 1997, pp. 236-262.
N. Mohan, T.M. Undeland and W.P. Robbins, Power Electronics: Converters, Applications, and Design, John Wiley and Sons, 3rd Edition, New York, 2003, pp. 52-57, pp. 304-319.
IEEE Recommended Practice for Calculating AC Short-Circuit Currents in Industrial and Commercial Power Systems [The Violet Book], IEEE Std 551-2006, doi: https://doi.org/10.1109/IEEESTD.2006.248693. DOI: https://doi.org/10.1109/IEEESTD.2006.248693
P. Kundur, Power System Stability and Control, 1st Edition, McGraw- Hill, Palo Alto, 1994, pp. 231-235.
G. M. S. Azevedo, M. C. Cavalcanti, F. A. S. Neves, L. R. Limongi, and F. Bradaschia, “Microgrid Power Converter Control With Smooth Transient Response During the Change of Connection Mode”, Eletrônica de Potência, vol. 19, no. 3, pp. 285–294, Aug. 2014, doi https://doi.org/10.18618/REP.2014.3.285294. DOI: https://doi.org/10.18618/REP.2014.3.285294
R. C. Dugan, M. F. McGranaghan, S. Santoso and H.W. Beaty, Electrical Power Systems Quality, 3rd Edition, US, McGraw-Hill Professional, 2012.
A. E. Fitzgerald, C. Kingsley Jr. and S.D. Umans, Electric Machinery, McGraw-Hill, 5th Edition, New York, 1990, pp. 60-73.
R. W. Ericksson and D. Maksimovic, Fundamentals of Power Electronics, 2nd Edition, Kluwer Academic Publishers, Norwell, 2001, pp. 146-170.
W. M. dos Santos and D. C. Martins, “Introdução ao Conversor DAB Monofásico”, Eletrônica de Potência, vol. 19, no. 1, pp. 36–46, Mar. 2014, doi: https://doi.org/10.18618/REP.2014.1.036046. DOI: https://doi.org/10.18618/REP.2014.1.036046
T. C. Monteiro, F. O. Martinz, L. Matakas and W. Komatsu, "Transformer Operation at Deep Saturation: Model and Parameter Determination," IEEE Trans. on Industry Applications, vol. 48, no. 3, pp. 1054-1063, May-June 2012, doi: https://doi.org/10.1109/TIA.2012.2190256. DOI: https://doi.org/10.1109/TIA.2012.2190256
S. Hodder, B. Kasztenny, N. Fischer and Y. Xia, "Low second-harmonic content in transformer inrush currents - Analysis and practical solutions for protection security," in Proc. of CPFR, TX, USA, 2014, pp. 705-722, doi: https://doi.org/10.1109/CPRE.2014.6799037. DOI: https://doi.org/10.1109/CPRE.2014.6799037
K. Subramanya, T. R. Chelliah, “DC bias impact analysis on the capability of power transformer and failure risks”, Engineering Failure Analysis, vol. 163, part B, 108537, 2024, doi: https://doi.org/10.1016/j.engfailanal.2024.108537. DOI: https://doi.org/10.1016/j.engfailanal.2024.108537
D. A. Fernandes, F. F. Costa, J. D. Inocêncio, A. C. Castro, I. S.de Freitas, "Dynamic Voltage Restorer with Complete Control of the Connection Transformers Saturation", Eletrônica de Potência, vol. 18, no. 3, pp. 1030–1037, Aug. 2013, doi: https://doi.org/10.18618/REP.2013.3.10301037. DOI: https://doi.org/10.18618/REP.2013.3.10301037
S. S. H. Bukhari and J. Ro, "A Single-Phase Line-Interactive UPS System for Transformer-Coupled Loading Conditions," in IEEE Access, vol. 8, pp. 23143-23153, 2020, doi: https://doi.org/10.1109/ACCESS.2020.2970489. DOI: https://doi.org/10.1109/ACCESS.2020.2970489
T. Nakajima, K. -I. Suzuki, M. Yajima, N. Kawakami, K. -I. Tanomura and S. Irokawa, "A new control method preventing transformer DC magnetization for voltage source self-commutated converters," in IEEE Trans. on Power Delivery, vol. 11, no. 3, pp. 1522-1528, July 1996, doi: https://doi.org/10.1109/61.517512. DOI: https://doi.org/10.1109/61.517512
L. Koleff et al., "Development of a Modular Open-Source Power Electronics Didactic Platform," in Proc. of COBEP/SPEC, Santos, Brazil, pp. 1-6, 2019, doi: https://doi.org/10.1109/COBEP/SPEC44138.2019.9065327. DOI: https://doi.org/10.1109/COBEP/SPEC44138.2019.9065327
Audio/video, information and communication technology equipment - Part 1: Safety requirements, IEC 62368-1:2023, 2023.
E. A. C. Lourenço, W. Komatsu, and L. Matakas Junior, “A common error in the determination of AC primary transformer current waveforms in one-way half-wave rectifiers”, in Proc. of IPEC, Niigata, Japan, 2005.
H. Von Bertele and H. Grasl, “Anomalies in Converter Transformer Operation”, Direct Current, London, p. 203-214. Aug. 1962.
S. Bogarra, A. Font, I. Candela and J. Pedra, “Parameter estimation of a transformer with saturation using inrush measurements”, Electric Power Systems Research, vol. 79, no. 2, pp. 417-425, Feb. 2009, doi: https://doi.org/10.1016/j.epsr.2008.08.009. DOI: https://doi.org/10.1016/j.epsr.2008.08.009
J. L. Velásquez, K. Vennemann, P. Wischtukat, “On-site measurement of the hysteresis curve for improved modelling of transformers”, Electric Power Systems Research, vol. 223, 109661, 2023, doi: https://doi.org/10.1016/j.epsr.2023.109661. DOI: https://doi.org/10.1016/j.epsr.2023.109661
L. F. Blume, G. Camilli, S. B. Farnham and H. A. Peterson, "Transformer magnetizing inrush currents and influence on system operation," Electrical Engineering, vol. 63, no. 6, pp. 366-374, June 1944, doi: https://doi.org/10.1109/EE.1944.6440312. DOI: https://doi.org/10.1109/EE.1944.6440312
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Vinicius Negri Machado, Fernando Ortiz Martinz, Wilson Komatsu, Lourenco Matakas Junior
This work is licensed under a Creative Commons Attribution 4.0 International License.