Transactions of China Electrotechnical Society  2023, Vol. 38 Issue (4): 1088-1103    DOI: 10.19595/j.cnki.1000-6753.tces.212145
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Investigation of Comparison on Optimal Structure of Five-Loop Simplified Scaling Model for Dry-Type Air-Core Reactors
Dai Lingjun1, Zou Liang1, Sun Yuxin1, Liu Qingsong2, Zhang Li1
1. School of Electrical Engineering Shandong University Jinan 250061 China;
2. Maintenance and Test Center CSG EHV Power Transmission Company Guangzhou 510663 China

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Abstract  The large dry hollow reactor has been widely used in HV and UHV power systems due to its high linearity, low loss, stable parameters, and low resistance. However, with the increase of the voltage level and size of the hollow reactor, the magnetic field will be generated in the surrounding space. It is necessary to establish a scale-down model for predicting the magnetic field distribution of the large hollow reactor in the design stage to provide the theoretical and technical basis for designing and manufacturing of the large hollow reactor. The three-ring simplified model can effectively predict the spatial magnetic field distribution of the hollow reactor, but the accuracy is limited. Therefore, a five-ring simplified scaled model of the dry hollow reactor is proposed, in which the number of turns and position of the coil can be adjusted.
According to the structural parameters of the model, the formulas for calculating the spatial magnetic field distribution of the original model and two simplified scaled models are derived. Under the premise of constant coil turns, the influence of coil position on spatial magnetic field distribution is studied, and the function expression of the position parameters of the five rings and the height-to-diameter ratio H/D of the original model is fitted. Comparing the magnetic induction intensity in four specific directions between the original model and the optimal five-ring simplified model, the five-ring simplified model can well simulate the magnetic induction intensity of the original model without considering the effect of equivalent errors in the near-field region. The root means square error (RMSE) and absolute percentage error (MAPE) of the five-ring simplified scaled model were reduced by 18 % and 17 %, respectively, and the coefficient of determination (R2) was increased by 4 % compared with the three-ring simplified model. When the number of turns and the position of the coil can be adjusted, the optimal position and the number of turns of the five rings are determined based on the least square method and the minimum sum of the square losses in each direction. The function expression of the structure parameters of the simplified model of the optimal five rings and the height-to-diameter ratio H/D of the original model is fitted. The five-ring simplified model can not only reduce the magnetic flux leakage, but also reduce the error in the four monitoring directions at the same time. Compared with the three-ring simplified model, the corresponding RMSE and MAPE are reduced by 40 % and 21 %, respectively, and have higher equivalent accuracy.
It is found that the RMSE and MAPE corresponding to the optimal structural parameters of the five-ring simplified scaling model are reduced by 21 % and 22 %, respectively, compared with the three-ring simplified scaling model. Therefore, it is proved that the five-ring simplified model has higher prediction accuracy than the three-ring simplified model in magnetic field prediction. The field test measurements are carried out in the converter station. Compared with the measurement data of two simplified scale models, it is also proved that the simplified scale model of five rings has a better equivalent effect of space magnetic field.
Key wordsDry-type air-core reactor (DAR)      spatial magnetic field distribution (SMFD)      five-loop simplified scaling model      three-loop simplified scaling model      optimal structure     
Received: 30 December 2021     
PACS: TM47  
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Dai Lingjun
Zou Liang
Sun Yuxin
Liu Qingsong
Zhang Li
Cite this article:   
Dai Lingjun,Zou Liang,Sun Yuxin等. Investigation of Comparison on Optimal Structure of Five-Loop Simplified Scaling Model for Dry-Type Air-Core Reactors[J]. Transactions of China Electrotechnical Society, 2023, 38(4): 1088-1103.
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