Mesh-free Monte Carlo method for electrostatic problems with floating potentials  

作　　者：Wenjing Yin Yunqing Wang Hong Deng Jiawei Wang Xiaoke Gao Ruoyu Huang Kun He Weijiang Chen Tianyu Dong 

机构地区：[1]School of Electrical Engineering,Xi'an Jiaotong University,Xi'an,Shaanxi,China [2]Tibet Yangbajing High Altitude Electrical Safety and Electromagnetic Environment National Observation and Research Station,China Electric Power Research Institute,Beijing,China

出　　处：《High Voltage》2025年第1期146-156,共11页高电压(英文)

基　　金：State Grid Corporation of China,Grant/Award Number:5500-202155584A-0-5-SF。

摘　　要：Numerical simulation plays a crucial role in the analysis and design of power equipment,such as lightning protection devices,which may become inefficient using traditional grid-based methods when handling complex geometries of large problems.The authors propose a grid-free Monte Carlo method to handle electrostatic problems of complex geometry for both the interior and exterior domains,which is governed by the Poisson equation with a floating potential boundary condition that is neither a pure Dirichlet nor a Neumann condition.The potential and gradient at any given point can be expressed in terms of integral equations,which can be estimated recursively within the walk-on-sphere algorithm.Numerical examples have been demonstrated,including the evaluation of the mutual capacitance matrix of multi-conductor structures and lighting striking near real fractal trees.The proposed method shows advantages in terms of geometric flexibility and robustness,output sensitivity,and parallelism,which may become a candidate for game-changing numerical methods and exhibit great potential applications in high-voltage engineering.

关 键 词：ELECTROSTATIC FLOATING mutual 

分 类 号：O17[理学—数学]