Optimization of Magnetic-Mechanical Coupling Topology for Vibration Damping Structures of Amorphous Alloy Core Reactor
Ben Tong1, Fang Min1, Chen Long1,2, Zhang Ping1, Zhang Xian3
1. College of Electrical Engineering and New Energy China Three Gorges University Yichang 443002 China; 2. Hubei Provincial Engineering Technology Research Center for Power Transmission Line China Three Gorges University Yichang 443002 China; 3. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China
Abstract：Amorphous alloy materials used in reactor cores can reduce the core losses, but their large magnetostrictive coefficient will increase the core vibration. Therefore, this paper proposes a magnetic- mechanical coupling topology optimization algorithm to design amorphous alloy core damping structures. The effectiveness of the proposed method is verified by simulation and experiment. Firstly, based on the solid isotropic material penalty (SIMP) model, the relative permeability and Young's modulus of the material in the optimization region are expressed as an interpolation function of the material density. The reactor optimization model is then constructed by the finite element method. Secondly, the topology of the amorphous alloy core is optimized with constraints on inductance values and the objective of minimizing vibration. The global convergence moving asymptote method is used to shorten the convergence time of the electromagnetic-mechanical coupled topology optimization by taking the solution of the electromagnetic topology optimization. Meanwhile, a threshold function is introduced to eliminate the intermediate density and address boundary ambiguity. Finally, the optimized model is verified. Due to structural differences in the core air gap region before and after optimization, the inductance value of the optimized reactor is reduced by 4.6%, which falls within an acceptable range, ensuring normal reactor operation. At the same time, the amplitude of vibration acceleration along the main magnetic circuit direction in the core air gap region is reduced by 33% after optimization, and the suppression effect of acceleration on 100 Hz and its octave frequency is noticeable. In addition, to exclude the influence of negative inductance deviation on the vibration-damping effect, a set of compensation coils is added to the optimized reactor, and vibration tests are conducted. The results show a 24% vibration acceleration along the main magnetic circuit direction in the air-gap region with maintaining constant reactor inductance values. Therefore, the proposed electromagnetic-mechanical coupling topology optimization algorithm effectively designs vibration-reducing structures. The following conclusions are drawn from the simulation and experimental analysis: (1) Under the excitation condition of 50 Hz, the vibration frequency of the core before and after optimization is mainly concentrated at 100 Hz and its octave frequency. Thus, the main reasons for the vibration of the reactor are the magnetostrictive force and the electromagnetic force. (2) The optimized structure of the core topology can reduce the vibration of the reactor. (3) The proposed topology optimization method for the reactor with electromagnetic-mechanical coupling has a better vibration reduction effect to ensure the normal operating condition of the reactor, providing a new idea for studying the vibration reduction of amorphous alloy core reactors.
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2023, Vol. 38 
