Method and Experimental Study of Voltage Measurement Based on Electric Field Integral With Gauss–Legendre Algorithm

Si, Diancheng; Wang, Jingang; Gang, Wei; Yan, Xiaojun

doi:10.1109/tim.2019.2924571

Cited by 30 publications

(12 citation statements)

References 16 publications

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“…Refs. [ 21 , 22 ] improved the traditional numerical integration method by using the Tustin equation, Al-Alaoui equation, Gauss–Legendre method, and other numerical calculation methods to ensure the high accuracy and linearity of the integral results. According to these studies, the updated digital integrators provide frequency characteristic curves that are more in line with the ideal integral curve.…”

Section: Introductionmentioning

confidence: 99%

Identification and Compensation for D-Dot Measurement System in Transient Electromagnetic Pulse Measurement

Jin

Liu

2022

Sensors

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The measurement of the transient pulsed electromagnetic (EM) field is essential for analyzing electromagnetic compatibility. Due to their good performance, D-dot sensors, combined with numerical integration computation for signal recovery, are commonly used to measure electromagnetic pulses (EMPs). However, the integration approach is occasionally flawed due to a non-ideal frequency response or noise, causing distortions in the reconstructed signal. In order to better understand the dynamic performance of the sensor, a nonlinear Hammerstein model is employed in the system identification for the sensor with the calibration data collected in the laboratory environment. When identifying the linear component based on the ultra-wideband characteristics of the measured transient pulse, a two-step identification approach with two different pulse excitation modes, low frequency and high frequency, is utilized to conduct the modeling across the entire frequency range. Based on the reliable identification and modeling of the D-dot sensor, a compensation system that corresponds to the nonlinear Hammerstein model has been developed for the practical signal recovery of the incident E-field. After compensation, the dynamic characteristics of the sensor are significantly improved, and the system compensation approach outperforms the integration method in signal recovery for the incident E-field.

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Section: Introductionmentioning

confidence: 99%

Identification and Compensation for D-Dot Measurement System in Transient Electromagnetic Pulse Measurement

Jin

Liu

2022

Sensors

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“…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 ].…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Fan

Guo

et al. 2021

Sensors

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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.

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“…The inverse operation of electromagnetic field has been widely used in medical imaging, geological exploration and environmental exploration abroad [4][5][6] . More and more researches on the high voltage transmission facilities and surrounding electromagnetic fields are carried out around the country [7][8] .…”

Section: Introductionmentioning

confidence: 99%

Optimization method of electric field inverse problem based on intelligent algorithm

Zhao¹,

Yang²,

Lü³

et al. 2021

E3S Web Conf.

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With the expansion of China's power grid, the scale, transmission distance and load capacity of transmission projects are all growing rapidly. Meanwhile, the problem of transmission line running state detection is also attracting more and more attention. Electric field under high voltage transmission line is taken as the research object in this paper, and the principle of electric field inverse operation is analyzed, two kinds of calculation objects and methods of nondestructive examination are are described in detail. There are two kinds of intelligent algorithms in this paper in order to solve the problem of several unknown solutions in inverse electric field operation. Correspondingly, the fitness function based on voltage value and result value is established, and the inverse electric field operation algorithm with global optimization function is proposed. A calculation example of high-voltage transmission line is also used to verify the inverse problem optimization algorithm. It is respectively proved by calculation results that the effectiveness and accuracy of the optimization method based on the two kinds of intelligent algorithms.

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Method and Experimental Study of Voltage Measurement Based on Electric Field Integral With Gauss–Legendre Algorithm

Cited by 30 publications

References 16 publications

Identification and Compensation for D-Dot Measurement System in Transient Electromagnetic Pulse Measurement

Identification and Compensation for D-Dot Measurement System in Transient Electromagnetic Pulse Measurement

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

Optimization method of electric field inverse problem based on intelligent algorithm

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