Electromagneto-mechanical numerical analysis and experiment of transformer influenced by DC bias considering core magnet

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Electromagneto‑mechanical numerical analysis and experiment of transformer influenced by DC bias considering core magnetostriction Xingmou Liu1   · Jiaxin Wu1 · Fan Jiang2 · Yan Wang3 · Chenyang Zhang4 · Yan Hui2 Received: 24 May 2020 / Accepted: 5 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract Abnormal vibration may cause the internal failure of transformers. In particular, the nonlinear saturation vibration of the iron core under direct current (DC) magnetic bias will lead to serious structural damage. In this paper, the dynamic process of transformer deformation under magnetic bias is completed by studying the magnetostrictive effect of ferromagnetic materials and analyzing the strain of the iron core. First, the silicon steel magnetostriction model is proposed and the computing processing is analyzed which explains the directivity characteristics of oriented silicon steel. Next, a coupled transformer model of the electromagnetic field and mechanical strain are built based on the piezomagnetic effect. Then, a dry transformer is performed in finite element (FE) application and after that, the displacements of test points are calculated by using measured magnetostriction curves and the FE model. Finally, vibration test is done to analyze the DC bias characteristics. The result of both calculation and measurements reveal that the magnetostriction of silicon material is the key factor of core vibration. It leads to the DC bias of transformer core remarkably and the magnetostriction of core material must be considered for transformer design and its applications.

1 Introduction The transformer is an important application in the grid and distribution system [1], which is required to have a stable working condition with low vibration and noise. Transformer vibration is caused by magnetostriction of silicon steel. Magnetostriction is a material property of core and it will cause the deformation of core in a certain magnetic field [2]. Some researchers have calculated * Xingmou Liu [email protected] 1



Chongqing Key Laboratory of Complex Systems and Bionic Control , and Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

2



Maintenance Branch Company, State Grid Chongqing Electric Power Company, Chongqing 400000, China

3

State Grid Chongqing Electric Power Company Economic and Technological Research Institute, Chongqing 400000, China

4

Beibei Power Supply Company, State Grid Chongqing Electric Power Company, Chongqing 400000, China





the magnetostriction force with different magnetic fields [3, 4]. The deformation of electromagnetic equipment by magnetostriction effect is studied in [5]. And numerical computations for reducing vibration caused by magnetostriction effects are studied in [6]. But they do not estimate the magnetic properties influenced by vibration in the core. In recent years, high voltage DC (HVDC) transmission systems have devel