Mathematical Calculation of Stray Losses in Transformer Tanks with a Stainless Steel Insert

Serguei Maximov, Manuel A. Corona-Sánchez, Juan C. Olivares-Galvan, Enrique Melgoza-Vazquez, Rafael Escarela-Perez and Victor M. Jimenez-Mondragon
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Serguei Maximov: Tecnológico Nacional de Mexico, Instituto Tecnológico de Morelia, PGIIE, Av. Tecnológico No. 1500, Lomas de Santiaguito, Morelia 58120, Mich., Mexico
Manuel A. Corona-Sánchez: Tecnológico Nacional de Mexico, Instituto Tecnológico de Morelia, PGIIE, Av. Tecnológico No. 1500, Lomas de Santiaguito, Morelia 58120, Mich., Mexico
Juan C. Olivares-Galvan: Departamento de Energía, Universidad Autónoma Metropolitana Azcapotzalco, Ciudad de México 02200, Mexico
Enrique Melgoza-Vazquez: Tecnológico Nacional de Mexico, Instituto Tecnológico de Morelia, PGIIE, Av. Tecnológico No. 1500, Lomas de Santiaguito, Morelia 58120, Mich., Mexico
Rafael Escarela-Perez: Departamento de Energía, Universidad Autónoma Metropolitana Azcapotzalco, Ciudad de México 02200, Mexico
Victor M. Jimenez-Mondragon: Departamento de Energía, Universidad Autónoma Metropolitana Azcapotzalco, Ciudad de México 02200, Mexico

Mathematics, 2021, vol. 9, issue 2, 1-14

Abstract: At present it is claimed that all electrical energy systems operate with high values of efficiency and reliability. In electric power systems (EPS), electrical power and distribution transformers are responsible for transferring the electrical energy from power stations up to the load centers. Consequently, it is mandatory to design transformers that possess the highest efficiency and reliability possible. Considerable power losses and hotspots may exist in the bushing region of a transformer, where conductors pass through the tank. Most transformer tanks are made of low-carbon steel, for economical reasons, causing the induction of high eddy currents in the bushing regions. Using a non-magnetic insert in the transformer tank can reduce the eddy currents in the region and as a consequence avoid overheating. In this work, analytical formulations were developed to calculate the magnetic field distribution and the stray losses in the transformer region where bushings are mounted, considering a stainless steel insert (SSI) in the transformer tank. Previously, this problem had only been tackled with numerical models. Several cases were analyzed considering different non-magnetic insert sizes. Additionally, a numerical study using a two dimensional (2D) finite element (FE) axisymmetric model was carried out in order to validate the analytical results. The solved cases show a great concordance between models, obtaining relative errors between the solutions of less than two percent.

Keywords: power transformer; stray losses; analytical methods; finite element method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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