Research on transmission line voltage measurement method based on Gauss–Kronrod integral algorithm

Abstract

This paper introduces a numerical integration method for measuring transmission line voltage using multiple D-dot electric field sensors. To date, contact measurement is mostly used for voltage measurement of transmission lines, but there are many problems with this approach, such as potentially hazardous insulation, large size and weight of measuring equipment, high cost, etc. With the development of small field sensors, non-contact measurement has become a hot spot in the research of transmission line voltage measurement. However, the inverse problem solution in the measurement is generally faced with the difficulty of solving data equations and inaccurate calibration. For above problems, a voltage measurement method of transmission lines based on the Gauss–Kronrod integral algorithm is proposed. In this paper, with the ground as the reference potential, and the vertical route directly below the transmission wire as the integral path, the D-dot electric field sensors are used to measure the electric field value of the corresponding node coordinates on the integral path, and the transmission line voltage value is obtained by combining Gauss–Kronrod numerical integration algorithm. Then, a finite element simulation model of a 20 kV transmission line was established using Maxwell software, and the Gauss–Kronrod integration node was calculated using the simulation data and the algorithm measurement results verified by simulation. Finally, a voltage measurement system for transmission lines based on LabVIEW software is designed, and a test platform for simulating transmission lines is set up for experimental verification. The experimental results show that the transmission line voltage measurement method based on the Gauss–Kronrod integral algorithm is effective and has high measurement accuracy, with errors in the range of 0.3%.