Abstract:Abstract-In this paper, a 3D quasi-static numerical algorithm for computation of the magnetic field produced by power lines is presented. These power lines can be overhead power line phase conductors and shield wires or buried cable line phase conductors. The basis of the presented algorithm is the application of Biot-Savart law and the thin-wire approximation of cylindrical conductors. The catenary form of the power line conductors is approximated by a set of straight cylindrical segments. By summing up contr… Show more
“…The magnetic flux density distribution at the arbitrary field point T (x, y, z) in the air of a two-layer medium can be computed using the well-known Biot-Savart law. One of the advanced 3D numerical algorithms for computation, sufficiently accurate as computation module HIFREQ of the CDEGS software package, is presented in detail in [19]. In addition to the cylindrical segments of active conductors with known currents, the cylindrical segments of passive conductors can also be taken into account.…”
Section: Conductive Passive Parts Of the Overhead Power Linesmentioning
confidence: 99%
“…The number of line sources equals the number of overhead power line phase conductors and shield wires, and the contribution of each of them is taken into account. In three-dimensional (3D) numerical algorithms [15][16][17][18][19] the catenary form of the overhead power line conductors can be taken into account and therefore, more accurate computation results can be obtained.…”
There has been apprehension about the possible adverse health effects resulting from exposure to power frequency magnetic field, especially in the overhead power lines vicinity. Research work on the biological effects of magnetic field has been substantial in recent decades. Various international regulations and safety guidelines, aimed at the protection of human beings, have been issued. Numerous measurements are performed and different numerical algorithms for computation of the magnetic field, based on the Biot-Savart law, are developed. In this paper, a previously developed 3D quasistatic numerical algorithm for computation of the magnetic field (i.e. magnetic flux density) produced by overhead power lines has been improved in such a way that cylindrical segments of passive conductors are also taken into account. These segments of passive conductors form the conductive passive contours, which can be natural or equivalent, and they substitute conductive passive parts of the overhead power lines and towers. Although, their influence on the magnetic flux density distribution and on the total effective values of magnetic flux density is small, it is quantified in a numerical example, based on a theoretical background that was developed and presented in this paper.
“…The magnetic flux density distribution at the arbitrary field point T (x, y, z) in the air of a two-layer medium can be computed using the well-known Biot-Savart law. One of the advanced 3D numerical algorithms for computation, sufficiently accurate as computation module HIFREQ of the CDEGS software package, is presented in detail in [19]. In addition to the cylindrical segments of active conductors with known currents, the cylindrical segments of passive conductors can also be taken into account.…”
Section: Conductive Passive Parts Of the Overhead Power Linesmentioning
confidence: 99%
“…The number of line sources equals the number of overhead power line phase conductors and shield wires, and the contribution of each of them is taken into account. In three-dimensional (3D) numerical algorithms [15][16][17][18][19] the catenary form of the overhead power line conductors can be taken into account and therefore, more accurate computation results can be obtained.…”
There has been apprehension about the possible adverse health effects resulting from exposure to power frequency magnetic field, especially in the overhead power lines vicinity. Research work on the biological effects of magnetic field has been substantial in recent decades. Various international regulations and safety guidelines, aimed at the protection of human beings, have been issued. Numerous measurements are performed and different numerical algorithms for computation of the magnetic field, based on the Biot-Savart law, are developed. In this paper, a previously developed 3D quasistatic numerical algorithm for computation of the magnetic field (i.e. magnetic flux density) produced by overhead power lines has been improved in such a way that cylindrical segments of passive conductors are also taken into account. These segments of passive conductors form the conductive passive contours, which can be natural or equivalent, and they substitute conductive passive parts of the overhead power lines and towers. Although, their influence on the magnetic flux density distribution and on the total effective values of magnetic flux density is small, it is quantified in a numerical example, based on a theoretical background that was developed and presented in this paper.
“…These fields are quasistatic and oscillate at the operating frequency of the power grid, either 50 or 60 Hz depending on the part of the world. They have been measured experimentally or modeled in software by many authors (Adelman and Hull, 2015; Lambdin, 1978; Modric et al, 2015, 2017; Olsen and Wong, 1992; Tell et al, 1977; Wigdor, 1980). High-quality electric- and magnetic-field sensors are readily available, either in research form (Heintzelman, 2015) or as commercial products (NARDA Safety Test Solutions, 2020; Quasar Federal Systems, 2017).…”
The electric and magnetic fields around power lines carry an immense amount of information about the power grid and can be used to improve stability, balance loads, conserve power, and reduce outages. To study this, an extremely large model of transmission lines over a 70-km2 tract of land near Washington, DC, has been built. The terrain was modeled accurately using 1-m-resolution LIDAR data. The 140-million-element power-line model was solved using the boundary element method, and the solvers were parallelized across DEVCOM Army Research Laboratory’s Centennial supercomputer using a modified version of the domain decomposition method. The code on each node was accelerated using the fast multipole method and, when available, GPUs. Additionally, larger test models were used to characterize the scalability of the code. The largest test model had 10,010,944,000 elements, and was solved on 1,024 nodes in 4.3 hours.
“…Detailed electrical and geometrical input data for conductors and tower dimensions are given in [26]. It is assumed that the maximum allowed conductor current flows through the phase conductors, while phase voltage value was also symmetrical and equal to 241.8 kV.…”
Abstract-In this paper, a 3D quasistatic numerical algorithm for computation of the electric field produced by overhead power lines is presented. The real catenary form of the overhead power line phase conductors and shield wires is taken into account with an arbitrary number of straight thin-wire cylindrical segments of active and passive conductors. In order to obtain more precise results of the charge density distribution, segmentation is conducted for each overhead power line span separately. Moreover, the presence of the towers which distort the electric field and significantly reduce its magnitude is taken into account. Therefore, the towers of overhead power lines are approximated using thin-wire cylindrical segments of passive conductors with electric potential equal to zero. From self and mutual coefficients of these components, system of linear equations for computation of the charge density distribution was obtained. In the numerical example, electric field intensity distribution in the vicinity of towers and under the midspan of overhead power lines is shown. In order to verify the accuracy of the presented model, the obtained results are compared with similar published examples and results available in the literature.
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