The Mutual-Coupling Dipole Model in Calculating the Local Electric Field for Two-Cylinder System
Zhang Jialin1, Kang Yongqiang1,2, Pu Xuhong1, Li Shuaibing1
1. School of New Energy and Power Engineering Lanzhou Jiaotong University Lanzhou 730070 China; 2. State Key Laboratory of Large Electric Drive System and Equipment Technology Tianshui 741020 China
Abstract：The local electric field calculation model of the two-phase body is the key to studying the electric field distribution and interaction mechanism of the two-phase body. The line-dipole-at-the-center model is the current classical model to calculate the electric field of the two-cylinder system. Its principle is to arrange the electric dipoles along the cylinder center to equivalent the polarization effect of the applied electric field. However, it does not fully consider the mutual polarization process of the cylinder. Therefore, the result is guaranteed when the cylinder is single, or the distance is long. When the cylinder distance is close and the permittivity is large, the calculation error increases significantly. This paper considers the interaction and polarization process of the two-cylinder system in a uniform electric field. The polarization process of the cylinder in an electric field environment is divided into two processes: applied electric field polarization and interaction polarization. Herein, the polarization result of the applied electric field is characterized by a self-dipole moment located at the cylinder's axis, and the polarization result of the inter-cylinder is characterized by a mutual-coupling dipole moment away from the cylinder's axis. The deviation degree from the center of the cylinder represents the degree of the interaction between cylinders. The mutual-coupling dipole model of the two-cylinder system is constructed, and the analytical expressions of the mutual-coupling dipole moment and the mutual dipole moment offset are obtained. Compared with the classical model of line dipole at the center and the finite element model, the calculation error of the proposed mutual-coupling dipole model of the two-cylinder system is less than 5%. The similarity to the finite element method reaches 0.575 6, even when the cylinder distance D=0.1R and the permittivity ratio εi/εe=100. The similarity of the curve is much higher than that of the line-dipole-at-the-center model. Moreover, when the permittivity ratio is high, the calculation error of the mutual-coupling dipole model is lower than 6% for the position near the two cylinders and the maximum electric field on the surface of the cylinder, which has a high calculation accuracy. The results show that the mutual-coupling model can obtain more accurate calculation results for the electric field distribution of the two-cylinder system when the distance between the cylinders is small and the permittivity is large. The results can be applied to local electric field calculation and interaction research in mixed dielectric insulation and environmental treatment.
张嘉琳, 康永强, 蒲绪宏, 李帅兵. 双柱体系统局部电场计算的互偶极子模型[J]. 电工技术学报, 2024, 39(12): 3869-3883.
Zhang Jialin, Kang Yongqiang, Pu Xuhong, Li Shuaibing. The Mutual-Coupling Dipole Model in Calculating the Local Electric Field for Two-Cylinder System. Transactions of China Electrotechnical Society, 2024, 39(12): 3869-3883.
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