Application of the Generalized Finite Difference Method to Static Electromagnetic Problems
Chen Jian1, Liu Chunming1, Wang Maohai2, Ge Xiaoning3, Liu Lianguang1
1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing 102206 China; 2. North China Branch of State Grid Power Dispatch & Control Center Beijing 100053 China; 3. State Key Lab of Control and Simulation of Power Systems and Generation Equipments Department of Electrical Engineering Tsinghua University Beijing 100084 China
Abstract：The generalized finite difference method(GFDM) is a new type of regional meshless discrete method. Based on the multivariate Taylor series expansion and the weighted least-squares fitting, the method expressed the partial derivative of unknown parameters in the governing function to a linear combination of adjacent node function values, which overcomes the dependence of the traditional finite difference method on the mesh. In this paper, the meshless generalized finite difference method is applied to the numerical simulation of static electromagnetic field problems. And the numerical discrete scheme of the method for static electromagnetic field problem is established. In order to verify the effectiveness of the proposed algorithm, the difference between GFDM method and the finite element method in dealing with the regular domain and the complex domain is comparative analysed. The results show that the algorithm of GFDM is stable and efficient for the different solution domain, and can achieve high computational accuracy.
陈剑, 刘春明, 王茂海, 葛小宁, 刘连光. 广义有限差分法在静态电磁场计算中的应用[J]. 电工技术学报, 2018, 33(7): 1579-1587.
Chen Jian, Liu Chunming, Wang Maohai, Ge Xiaoning, Liu Lianguang. Application of the Generalized Finite Difference Method to Static Electromagnetic Problems. Transactions of China Electrotechnical Society, 2018, 33(7): 1579-1587.
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2018, Vol. 33 
