Various voltage measurement methods based on E-field (Electric field) integration has been extensively studied in recent years, but there are few comparative studies on the reliability of various integration algorithms. Therefore, this paper compares multiple types of E-field integration algorithms, and proposes an uncertainty analysis model to estimate the effectiveness of each method. Firstly, the calculation process based on Gauss integral, G-L (Gauss-Legendre) integral, G-C (Gauss-Chebyshev) integral were respectively introduced respectively, and the distribution characteristics of the integral nodes of each algorithm were analyzed. Subsequently, a 10kV AC three-phase transmission line model was built into the Maxwell simulation platform, and the transient E-field distribution parameters under the transmission overhead line were calculated, as well as the voltage measurement results of each numerical integration algorithm. Finally, the uncertainty mathematical analysis models on the E-field integration method was established, and the measurement performance of the G-L and G-C integration algorithms was compared. According to this, the principles and application conditions for the selection of the numerical integration algorithm are given, to provide a reliable reference for the promotion and application of the voltage measurement method based on the E-field integral.

E-field integral method,numerical analysis,transient E-field simulation,uncertainty estimate,voltage measurement