Abstract

According to coupling way between the magnetic field and the structural order, structure mode is discussed by engaging finite element (FE) method and both natural frequency and modal shape for a dry-type air-core reactor (DAR) are obtained in this paper. On the basis of harmonic response analysis, electromagnetic force under PWM (Pulse Width Modulation) voltage excitation is mapped with the structure mesh, the vibration spectrum is gained and the consequences represents that the whole structure vibration predominates in the radial direction, with less axial vibration. Referring to the test standard of reactor noise, the rules of emitted noise of the DAR are measured and analyzed at chosen switching frequency matches the sample resonant frequency and the methods of active vibration and noise reduction are put forward. Finally, the low acoustic noise emission of a prototype DAR is verified by measurement. At the request of the authors, this article is being retracted effective 30 October 2018.

Highlights

  • Jingsong Li,a,b Shanming Wang,a Jianfeng Hong,a Zhanlu Yang,a Shengqian Jiang,a and Shichong Xiaa State Key Laboratory of Control and Simulation of Power System and Generation Equipments, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

  • According to coupling way between the magnetic field and the structural order, structure mode is discussed by engaging finite element (FE) method and both natural frequency and modal shape for a dry-type air-core reactor (DAR) are obtained in this paper

  • The sound pressure level (SPL) test starting point R is arranged at the H/2 of the package height due to the height of the DAR package is not more than 2.4 m

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Summary

Calculation method of modal The motion equation in structural dynamics is:5

30, 2018 where, [M] is the mass matrix; [D] is the damping matrix; [S] is the mechanical stiffness matrix; {F}. In order to satisfy the condition of undamped free vibration in the natural frequency calculation, it is needed to make {F}=0 and [D]=0 in Eq (1). Due to the structural free vibration is simple harmonic vibration, {d} = {φ} sin(ωt) can be represented the displacement function, which is further known that {d } = −ω2{φ} sin(ωt), ω is the angular frequency. E Eq (3) is the characteristic equation of the free vibration of DAR structure, and the purpose B of modal analysis is to solve the eigenvalues ωj and the corresponding eigenvectors {φj}. Where, i is the current flowing in the windings (A); B is the magnetic field density (T); dF is the. E The force density of each unit is calculated by the following formula:. C where, J is the current density per unit in the calculating domain of the DAR.

Calculation model of DAR vibration
Calculation results of DAR vibration excited by electromagnetic force
EXPERIMENTAL MEASUREMENTS OF DAR ACOUSTIC NOISE
Measurement results and analysis
Optimization and validation
CONCLUSION
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