Abstract There are a large number of electrostatic field problems in the power system. For example, the boundary element method (BEM) can effectively analyze the small scale problems, but its ability to analyze large scale problems is limited. In order to solve this problem, the fast multipole method (FMM) was used to accelerate the curved boundary element method (CBEM) based on coordinate transformation, then the fast multipole curved boundary element method (FMCBEM) was proposed. In order to adapt to the features of CBEM, the method of generating the oc-tree structure in FMM was improved. The FMCBEM combines the advantages of the two methods. Through the curved element the calculation precision is increased. Through FMM, the computation time and memory requirement are reduced, and the solution scale is enlarged. Different examples were used to verify that the algorithm has obvious advantages in computational accuracy and efficiency. In addition, the surface electric field intensity of ±350kV single bridge converter valve shield system was analyzed. It is shown that the FMCBEM has high accuracy, fast speed and less memory requirement, which can be used to analyze large scale electrostatic field problems.
Wang Zezhong,Shi Yuxin. Fast Multipole Curved Boundary Element Method for 3D Electrostatic Field[J]. Transactions of China Electrotechnical Society, 2018, 33(24): 5797-5804.
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2018, Vol. 33 
