电-磁-机耦合视域下考虑气隙影响的变压器铁心振动特性精细化模拟方法

doi:10.19595/j.cnki.1000-6753.tces.230719

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Abstract Due to the combined effects of Maxwell force and magnetostrictive force, the transformer core inevitably vibrates in actual operation. The vibration of the core can cause noise pollution and loosen components. In severe cases, it may threaten the power supply reliability of the power system. Currently, finite element simulation is usually used to calculate the core vibration, but this method has a long calculation time and low efficiency. This paper proposes a refined modeling and calculation method based on the electromechanical analogy method for core multiphysics coupling characteristics.
Firstly, the step overlap area of the transformer core is studied. In the presence of air gaps, the magnetic properties of a single silicon steel sheet are measured, and the equivalent magnetic properties of the overlap area are analyzed through local magnetic circuit modeling to obtain the equivalent magnetic resistance of the overlap area. Based on reasonable assumptions and simplification, the overall equivalent magnetic circuit topology of the transformer is constructed. Secondly, according to the electromechanical-electrical analogy method and mechanical vibration theory, an equivalent vibration loop model in the form of a two-port cascade is established based on the magnetic field distribution characteristics of the lap area to realize the rapid and accurate calculation of the core vibration characteristics. In addition, a vibration test platform for the single-phase three-column transformer core model is built. The data, including vibration displacement, excitation current, and core flux density under different excitation voltages, are compared with the calculation results of the model. The calculation results are in good agreement with the experimental results, which verifies the effectiveness and accuracy of the proposed method. The magnetostrictive vibration characteristics in the lap area are analyzed. The vibration of the lap region is stronger than that of the non-lap area, mainly because the local magnetic flux density in the lap region tends to be saturated, making the magnetostrictive force significantly stronger.
In conclusion, the theoretical analysis and experimental results show that the proposed electro-magnetic-mechanical multiphysics coupling calculation method considering the influence of air gap obtains the distribution characteristics of the transformer core magnetic field and reflects the mechanical vibration distribution characteristics caused by a non-uniform magnetic field. Compared with the traditional finite element calculation method, the proposed method greatly saves calculation time and cost.

Key words： Field path coupling magnetostriction laminated core vibration

Received: 22 May 2023

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TM41

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	Zhao Xiaojun
	Zhang Jiawei
	Wang Haoming
	Miao Yu
	Liu LanRong

Cite this article:

Zhao Xiaojun,Zhang Jiawei,Wang Haoming等. A Refined Simulation Method for the Vibration Characteristics of Transformer Core Considering the Influence of Air Gap under the Perspective of Electro-Magnetic-Mechanical Coupling[J]. Transactions of China Electrotechnical Society, 2024, 39(14): 4257-4269.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.230719 OR https://dgjsxb.ces-transaction.com/EN/Y2024/V39/I14/4257

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