New Analytical Formulas for Electromagnetic Field and Eddy Current Losses in Bushing Regions of Transformers

Maximov, Serguei; Olivares-Galván, J. C.; Magdaleno-Adame, Salvador; Escarela‐Perez, R.; Campero‐Littlewood, E.

doi:10.1109/tmag.2014.2360364

Cited by 20 publications

(19 citation statements)

References 15 publications

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“…The temperature distribution in the metallic disk is calculated analytically in this example using the electromagnetic loss distribution of Maximov [6] in formulae (43)-(45).…”

Section: B Numerical Results For Maximov's Loss Distributionmentioning

confidence: 99%

“…Let us consider the case when the heat exchange mechanism through boundaries Γ 3 and Γ 4 has the same nature and ambient temperature in the vicinity of each surface prevails. The problem shows symmetry with respect to the plane z = 0, since the heat source is an even function of z (see [6] and [7]). As a result, the solution to the heat conduction equation (7) is also an even function of z.…”

Section: The Modelmentioning

confidence: 99%

“…The effectiveness of our analytical formula (43) is proven with two study cases that use: a) Del Vecchio's loss formula (46) and b) Maximovs loss formula established in [6]. A circular steel plate of radius b = 26.25 cm, thickness h = 10 mm and hole radius a = 125 mm is considered in both cases.…”

Section: Study Casesmentioning

confidence: 99%

“…The loss density due to electromagnetic induction is considered known and provided by any available method (analytical or numerical), decoupling the electromagnetic and temperature field problems. Analytical approaches and specific formulae for calculation of eddy current losses in steel plates, crossed by conductors carrying high currents, can be found for example in [6] or [7], where Maxwell's equations are solved assuming linear permeability. Nevertheless, reference [6] presents a more rigorous analytical calculation of the electromagnetic field and eddy current losses in the regions of transformer tanks surrounding the transformer bushings.…”

Section: Introductionmentioning

confidence: 99%

“…Also our results are compared with measurements from references [1] and [3] obtained from a condition present in dry transformers. Although the loss formula of [6] is more accurate than the analytical expression of [7], the later is used to obtain the input loss stimulus because of its appealing simplicity (avoiding cumbersome expresions) and satisfactory precision when dealing with not very small skin depths in the metallic plate. However, Ref.…”

Section: Introductionmentioning

confidence: 99%

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New Analytical Formula for TemperatureAssessment on Transformer Tanks

Maximov

Escarela‐Perez

Olivares-Galván

et al. 2016

IEEE Trans. Power Delivery

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A rigorous analytical development is presented to find a formula that provides the temperature distribution in the tank zones close to bushings of distribution transformers. The new formula can be fed with a loss distribution obtained either analytically or numerically. This fact is shown using two proven loss distributions, combined with our new formula, and comparing their results with finite element simulations that use a pre-established loss distribution in one case and solve a thermal-electromagnetic coupled problem in the second case. An excellent match between numerical and analytical results is found, which are independently determined using completely different computation philosophies. As a result, it is clearly shown that our proposed formula is effective and accurate. Moreover, it requires much lower computational resources as compared to finite element simulations that require commercial or highly specialized software. Our formula will contribute to the better design of transformers, increasing their useful lives and reducing operating costs in power networks.

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“…The temperature distribution in the metallic disk is calculated analytically in this example using the electromagnetic loss distribution of Maximov [6] in formulae (43)-(45).…”

Section: B Numerical Results For Maximov's Loss Distributionmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Study Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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