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Analytical Calculation of the Magnetic Field from Continuing Current over Non-Flat Terrain
Cálculo Analítico del Campo Magnético de la Corriente Continua sobre terreno no plano
DOI:
https://doi.org/10.15446/sicel.v12.121200Palabras clave:
lightning, Continuing Current, Magnetic Field, Non-Flat Terrain, Method of images (en)Rayo, Corriente Continua, Campo Magnético, Terreno no Plano, Método de las imágenes (es)
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This paper presents a novel analytical approach for calculating the magnetic field intensity generated by the continuing current stage of lightning over non-flat terrain. The method extends the classical method of images, which is traditionally limited to flat terrain, by incorporating realistic terrain geometries such as L-Shaped, V-Shaped, and Spherical-Shaped terrains. The proposed approach enables efficient field estimation, reducing reliance on computationally intensive numerical methods. Outcomes show that non-flat terrain can significantly increase magnetic field intensity – by up to a factor of two compared to flat terrain. These results highlight the importance of considering topographic features when modeling electromagnetic fields for lightning, especially in non-flat terrains where induced voltages and field amplitudes may be underestimated using flat terrain assumptions.
Este artículo presenta un enfoque analítico novedoso para calcular la intensidad del campo magnético generada por la etapa de corriente continua de un rayo sobre terreno no plano. El método extiende el clásico método de las imágenes, tradicionalmente limitado a terrenos planos, incorporando geometrías de terreno más realistas, como terrenos en forma de L, en forma de V y en forma esférica. El enfoque propuesto permite una estimación eficiente del campo, reduciendo la dependencia de métodos numéricos que requieren alta demanda computacional. Los resultados muestran que el terreno no plano puede aumentar significativamente la intensidad del campo magnético, hasta en un factor de dos en comparación con terreno plano. Estos hallazgos resaltan la importancia de considerar las características topográficas al modelar campos electromagnéticos asociados al rayo, especialmente en terrenos no planos, donde las tensiones inducidas y las amplitudes de campo podrían subestimarse al asumir terrenos planos.
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Licencia
Derechos de autor 2025 Edinson Fabian Adarme Lopez, Edison Andres Soto Rios, Ernesto Aguilera Bermudez
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
