Electric and Magnetic Field Estimation Under Overhead Transmission Lines Using Artificial Neural Networks

Abstract

In this paper, a novel method for electric field intensity and magnetic induction estimation in the vicinity of the high voltage overhead transmission lines is proposed. The proposed method is based on two fully connected feed-forward neural networks to independently estimate electric field intensity and magnetic induction. The artificial neural networks are trained using the scaled conjugate gradient algorithm. Training datasets corresponds to different overhead transmission line configurations that are generated using an algorithm that is especially developed for this purpose. The target values for the electric field intensity and magnetic induction datasets are calculated using the charge simulation method and Biot-Savart law based method, respectively. This data is generated for fixed applied voltage and current intensity values. In instances when the applied voltage and current intensity values differ from those used in the artificial neural network training, the electric field intensity and magnetic induction results are appropriately scaled. In order to verify the validity of the proposed method, a comparative analysis of the proposed method with the charge simulation method for electric field intensity calculation and Biot-Savart law-based method for magnetic induction calculation is presented. Furthermore, the results of the proposed method are compared to measurement results obtained in the vicinity of two 400 kV transmission lines. The performance analysis results showed that proposed method can produce accurate electric field intensity and magnetic induction estimation results for different overhead transmission line configurations. INDEX TERMSArtificial neural networks (ANN), Biot-Savart (BS) law based method, Charge simulation method (CSM), Electric field intensity, Magnetic induction, Scaled Conjugated Gradient (SCG)

Determination of Electric and Magnetic Field Calculation Uncertainty in the Vicinity of Overhead Transmission Lines

“…For 400 kV overhead transmission line with delta phase conductor configuration, as shown in Fig. 2d, the RMS value of line-to-line voltage and phase current intensity are 440 kV and 100 A, respectively [26]. From these parameters, the rest of calculation input parameters can be determined.…”

“…The electric field intensity components at an arbitrary point produced by n fictitious point charges is calculated using the following equations [26]:…”

“…Fig.2. Geometries of the considered overhead transmission lines: (a) first standard dimensions horizontal configuration 400 kV transmission line[24], (b) second standard dimensions horizontal configuration 400 kV transmission line, (c) reduced dimensions horizontal configuration 400 kV transmission line[28], (d) delta configuration 400 kV transmission line[26].…”

Improved artificial electric field algorithm based on multi-strategy and its application

“…According to the analysis method of other scholars [23,24], seven independent variables are selected among numerous influencing factors according to the seismic liquefaction data set provided by reference [25,26]. Based on seven characteristic indexes, including intensity𝐼 ′ (𝑋 1 ), groundwater level 𝑑 𝑤 (𝑋 2 ), effective overburden pressure𝜎 0 ′ (𝑋 3 ), blow counts of SPT 𝑁 63.5 (𝑋 4 ), average grain size 𝑑 50 (𝑋 5 ), nonuniformity coefficient 𝐶 𝑢 (𝑋 6 ) and shear-to-stress ratio 𝜏 𝑑 /𝜎 0 ′ (𝑋 7 ), the liquefaction of sandy soil is divided into three grades according to the field conditions.…”

Calculation of Magnetic Flux Density Harmonics in the Vicinity of Overhead Lines

“…This method considers every phase conductor as one current point source. Based on the equations for the calculation of magnetic flux density for fundamental harmonics [22], derived from the BS law based method, magnetic flux density for harmonics of a higher order can be calculated. The magnetic flux density for the entire lateral profile is calculated separately for each current harmonic.…”