中文摘要：

无单元伽辽金法（element．freeGalerkinmethod，EFGM）在电磁计算领域已经实现了初步应用。但是，面对结构复杂多介质场域问题时，介质间的交界条件需要额外处理以及建模过程繁琐等缺点，限制了该算法的发展。该文针对电机电磁场域的特点，提出在求解此类场域边值问题时，介质问交界条件近似满足，不必额外处理，并从理论上证明了论点在应用中具有可行性。相对于有限元法，文章分析了算法在复杂结构多介质电磁场应用中的优势，并将其引入到凸极同步电机空载磁场的计算中，结果验证了该文提出的观点是正确的。针对建模繁琐等问题，文章提出了可供参考的处理方案。

英文摘要：

The element-free Galerkin method （EFGM） has been initially applied to electromagnetic field computation, however, there are still difficulties when it comes to problems with areas of complex structure and more than one mediums, as interface conditions should be specially treated and complicated modeling is unavoidable. In this paper, an argument was proposed for electromagnetic field problems of electric machine that interface conditions were automatically and approximately met during the processing of the method and its viability in applications was proved theoretically. Comparing with the finite element method, the advantage of EFGM was introduced in dealing with multi-mediums field with complex structures, and was applied to the electromagnetic field of no load synchronous generator. The method reached satisfactory results. The paper provided some helpful suggestions for research in this field based on EFGM.