Estimation of the Spatial and Temporal Distribution of Magnetic Fields around Overhead Power Lines—A Case Study

• Published in: Mathematics (Basel) 2023-05, Vol.11 (10), p.2292
• Main Authors: Pavel, Ionel, Petrescu, Camelia, David, Valeriu, Lunca, Eduard
• Format: Article
• Language: English
• Subjects: Case studies; Density distribution; Electric properties; experimental determination of magnetic fields; Flux density; magnetic field survey; Magnetic fields; Magnetic flux; Mathematics; modeling and simulation of OPLs; Optimization; Power lines; Simulation; Simulation methods; Spatial distribution; Temporal distribution
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math11102292

Due to the growing number, diversity and spreading of magnetic field sources, an increasing need to determine the field levels of human exposure has arisen. Some of the most encountered sources are the overhead power lines (OPL) and the determination of spatial and temporal variation of the magnetic fields produced by OPLs is a challenge. In this paper a hybrid method for the estimation of the temporal and spatial distribution of the magnetic flux density B caused by OPLs, based on experimental measurements and on numerical and analytical simulations, is presented. Thus, using a small number of simultaneous spot measurements correlated with a long-term survey, maps of the magnetic flux density distribution on extended areas are established, for several time instances. The proposed method is verified using two sets of different measurements and the results obtained through simulation. The difference between the estimated and simulated values of B is under 5.5%, which is considered acceptable considering that B spans over a large set of values (724 nT ÷ 1375 nT) in the location of the long-term survey procedure. The possibilities and limitations of the proposed method are discussed.