Research on Transmission Line Voltage Measurement Method Based on Improved Gaussian Integral

Abstract

Currently, there are two non-contact measurement methods of the transmission line voltage based on field sensor: one is calculation with the inverse problem of electric field for the solution, and the other is to solve by the numerical integration algorithm. In general, the first one is confronted with data equation solving problems and difficulties in accurate calibration as well as low precision, while the second one is troubled by the complexity of algorithm equation and unsatisfactory integration node. In view of the above problems, this paper improves on the basis of the Gaussian integral algorithm to seek better nodes, in order to reduce the difficulty of solving and improve the measurement accuracy of the integral algorithm. First, starting from the Gaussian integral algorithm and making research to improve the Gaussian integral algorithm theory. Then, the finite element simulation of three-phase transmission line through Maxwell software is built, and the space electric field distribution data is acquired to calculate an integral node as well as its corresponding weights. Finally, the three-phase transmission line voltage measurement test platform with D-dot sensor voltage measurement system is built to test verification. The text results show that the voltage measurement method based on the improved Gaussian Integral has characteristics of a simple solution, better integral node, and higher precision, and all the measured voltage errors are less than 0.45%. INDEX TERMS Non-contact measurement, improved Gaussian integral, Maxwell software, D-dot sensor.

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

“…However, this measurement was carried out under relatively ideal conditions. Furthermore, the research group derived different integral algorithms from the Gauss numerical integral to calculate the transmission line voltage, including G-L (Gauss–Legendre) numerical integration, I-G-L (improved Gauss–Legendre) numerical integration, G-C (Gauss–Chebyshev) numerical integration, and G-K (Gauss–Kronrod) numerical integration, where the highest measurement accuracy was obtained (up to 0.3%) with G-K [ 18 , 19 , 20 , 21 ]. In addition, the researchers presented a scheme for reconstructing the parameters of the integral nodes to improve the accuracy of the solution results [ 22 ].…”

“…Although most publications related to field-source numerical integration problems have proposed many numerical integration methods and optimal schemes for reducing the measurement error, there is a lack of an effective comparison and evaluation concerning the accuracy and stability of various electric field integration algorithms. The literature mentioned above [ 17 , 18 , 19 , 20 , 21 ] selected different integration algorithms to compare the accuracy of the final measurement results. The current research does not discuss the possible error sources in actual applications and the influence of error propagation on the final voltage measurement results, resulting in the inability to optimize the numerical integration method for calculating the transmission line voltage from the sources of error, and the difficulties in practical application.…”

Simulation and Test of a Contactless Voltage Measurement Method for Overhead Lines Based on Reconstruction of Integral Node Parameters

“…However, the results were obtained under the ideal conditions, and some issues were actually minimized, such as the unstable measurement performance caused by the relatively fixed nodes information and the nonlinear E-field distribution. Li Xiang [29] has improved the Gaussian integration algorithm, in order to obtain better insulation performance of the sensors while ensuring the good measurement accuracy. A flaw is that this research ignored the other interference sources that may be caused when the sensor position moves downward.…”