Evaluation of Electric Field Integral Voltage Measurement Method of Transmission Line Based on Error Transmission and Uncertainty Analysis

Abstract

Electric field numerical integration algorithms can realize the non-contact measurement of transmission line voltage effectively. Although there are many electric field numerical integration algorithms, lack of a comprehensive comparison of accuracy and stability among various algorithms results in difficulties in evaluating the measurement results of various algorithms. Therefore, this paper presents the G-L (Gauss–Legendre) algorithm, the I-G-L (improved Gauss–Legendre) algorithm, and the I-G-C (improved Gauss–Chebyshev) algorithm and proposes a unified error propagation model of the derived algorithms to assess the accuracy of each integration method by considering multiple error sources. Moreover, evaluation criteria for the uncertainty of transmission line voltage measurement are proposed to analyze the stability and reliability of these algorithms. A simulation model and experiment platform were then constructed to conduct error propagation and uncertainty analyses. The results show that the G-L algorithm had the highest accuracy and stability in the scheme with five integral nodes, for which the simulation error was 0.603% and the relative uncertainty was 2.130%. The I-G-L algorithm was more applicable due to the smaller number of integral nodes required, yet the algorithm was less stable in achieving the same accuracy as the G-L algorithm. In addition, the I-G-C algorithm was relatively less accurate and stable in voltage measurement.

Literature Review on Simulation and Measuring Techniques for Transmission Lines and Antennas

“…The performance and dependability of transmission lines and antennas can be severely impacted by simulation and measurement errors [21][22][23][24]. Measurement uncertainty in fault location algorithms can lead to longer outages and higher maintenance expenses.…”

Literature Review on Simulation and Measuring Techniques for Transmission Lines and Antennas

“…The performance and dependability of transmission lines and antennas can be severely impacted by simulation and measurement errors [23][24][25][26]. Measurement uncertainty in fault location algorithms can lead to longer outages and higher maintenance expenses.…”

Research on a Non-Contact Multi-Electrode Voltage Sensor and Signal Processing Algorithm

“…Non-contact voltage measurement technology is of great significance in the internet of things, power electronics, and high voltage engineering [ 5 ]. At present, there are two main non-contact voltage sensing methods: photoelectric sensing and electric field coupling sensing [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. Photoelectric sensing technology is based on the optical principle of voltage measurement [ 13 , 14 , 15 , 16 ].…”