The finite element method (FEM)solves the structural parameters of the fittings for uninterrupted operation in a 10kV distribution network to prevent slippage of the fittings.However,this method has the problems of biased stiffness matrix and low accuracy in displacement solution.In addition,this method requires high element quality for solving,and distorted elements can cause large solving errors,even result errors or calculation termination.Therefore, a precise algorithm for solving the structural parameters of metal fittings based on smooth finite element theory is proposed.This algorithm derives the basic equations and boundary conditions of structural force electromagnetic temperature coupling,and combines the principle of natural variation to introduce gradient smoothing technology into finite element method solution.The multi point coupling smooth fit element method (FEM-MPCS)equation is derived to accurately solve the structural parameters of fitings.Through comparative analysis of experimental and simulation results,the MPCSFEM algorithm has improved accuracy by 28.43%compared to traditional FEM algorithms.The proposed solving algorithm provides theoretical reference for the structural design of power outage operation fittings in 10 kV distribution networks.