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Lightning rod system: mathematical analysis using the rolling sphere method

International Journal of Power Electronics and Drive Systems · Vol. 13 No. 1 (2022) · pp. 237–246

DOI
10.11591/ijpeds.v13.i1.pp237-246
ISSN
2722-256X, 2088-8694
Published
2022-03-01
Publisher
Institute of Advanced Engineering and Science
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

In electrical protection, there is a method of electrical protection of buildings against atmospheric discharges called the electro-geometric method or the rolling sphere method. So far, it is possible to achieve the implementation of this method graphically, that is, representing through plans and technical drawings, the protection conditions of the analyzed structure and obtaining from these graphic representations the protection parameters with the consequent errors caused by the scales and dimensions of the work plane. In the present work, a mathematical model is obtained that allows, using specific calculations, to analyze the dynamic behavior of a protection system against atmospheric discharges without worrying about the limitations given by the scales and planes. The set of equations obtained in the model allows us to determine the different parameters that define the protection system against atmospheric discharges (lightning) without depending on the graphical representation of the system's topology.

Keywords

Collaboration network of the authors

36 authors · 94 co-authorship links · 19 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universidad de la Costa
  • Universidad Técnica de Manabí
  • Universidad de Oriente
  • Universidad del Magdalena
  • Universidad de Las Tunas
  • Universidad EAFIT
  • Polytechnic José Antonio Echeverría
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
María Rodríguez GámezUniversidad Técnica de Manabí3
Antonio Vázquez PérezUniversidad Técnica de Manabí3
Yelena Pérez ZamoraUniversidad de Oriente2
Israel Francisco Benítez PinaUniversidad de Oriente2
Eliana Noriega AngaritaUniversidad de la Costa2
Angel R. RicardoAffiliation unknown1
Guillermo González-YeroAffiliation unknown1
Mirelys Torres PérezUniversidad de Las Tunas1
Christian Manuel Moreno RochaUniversidad de la Costa1
Celene Milanés BatistaUniversidad de la Costa1
Willian Fernando Arguello RodríguezUniversidad de la Costa1
Arley Jesús Fontalvo BallesterosUniversidad de la Costa1
Genial Belvine Epeni TomboUniversidad Técnica de Manabí1
Guillermo Antonio Loor CastilloUniversidad Técnica de Manabí1
Etna Mercedes Bayona VelásquezUniversidad del Magdalena1
Ana Pirela-RíosUniversidad EAFIT1
Ever Marín-GiraldoUniversidad del Magdalena1
Frank Grau-MerconchinAffiliation unknown1
Orestes Nicolás Hernández AreuPolytechnic José Antonio Echeverría1
Michael Montenegro-RomeroUniversidad de la Costa1
Oscar Quintero-OspinoUniversidad de la Costa1
Raidel Fidel Linares VicenteAffiliation unknown1
Rodrigo Isacc Fonnegra RodríguezAffiliation unknown1
José Javier Lozano MendozaAffiliation unknown1
Jorge Javier Sánchez AcostaAffiliation unknown1
Lenin Agustín Cuenca AlabaAffiliation unknown1
Wilber Manuel Saltos ArauzAffiliation unknown1
Frank Grau MerconchiniAffiliation unknown1
Luis Vázquez SeisdedosAffiliation unknown1
Janette Cervantes OlivaAffiliation unknown1
David Checa-CervantesAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) http://ijpeds.iaescore.com/index.php/IJPEDS/oai, first harvested 8 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">Lightning rod system: mathematical analysis using the rolling sphere method</dc:title>
	<dc:creator>Martínez, Jairo Mora</dc:creator>
	<dc:creator>Angarita, Eliana Maria Noriega</dc:creator>
	<dc:creator>Alvarez, José Ricardo Núñez</dc:creator>
	<dc:creator>Crespo, Michelle Hernandez</dc:creator>
	<dc:creator>Pertuz, Paulo José Fruto</dc:creator>
	<dc:subject xml:lang="en-US">atmospheric discharges; electrical protection; electric system; electro-geometric method; lightning</dc:subject>
	<dc:description xml:lang="en-US">In electrical protection, there is a method of electrical protection of buildings against atmospheric discharges called the electro-geometric method or the rolling sphere method. So far, it is possible to achieve the implementation of this method graphically, that is, representing through plans and technical drawings, the protection conditions of the analyzed structure and obtaining from these graphic representations the protection parameters with the consequent errors caused by the scales and dimensions of the work plane. In the present work, a mathematical model is obtained that allows, using specific calculations, to analyze the dynamic behavior of a protection system against atmospheric discharges without worrying about the limitations given by the scales and planes. The set of equations obtained in the model allows us to determine the different parameters that define the protection system against atmospheric discharges (lightning) without depending on the graphical representation of the system's topology.</dc:description>
	<dc:publisher xml:lang="en-US">Institute of Advanced Engineering and Science</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2022-03-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:identifier>10.11591/ijpeds.v13.i1.pp237-246</dc:identifier>
	<dc:source xml:lang="en-US">International Journal of Power Electronics and Drive Systems (IJPEDS); Vol 13, No 1: March 2022; 237-246</dc:source>
	<dc:source>2722-256X</dc:source>
	<dc:source>2088-8694</dc:source>
	<dc:source>10.11591/ijpeds.v13.i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ijpeds.iaescore.com/index.php/IJPEDS/article/view/21436/13703</dc:relation>
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	<dc:rights xml:lang="en-US">Copyright (c) 2022 Jairo Mora Martínez, Eliana Maria Noriega Angarita, José Ricardo Núñez Alvarez, Michelle Hernandez Crespo, Paulo José Fruto Pertuz</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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