Melola Discovery

← Melola Discovery

Open access Jurnal SINTA 1

Fractal representation of the power demand based on topological properties of julia sets

International Journal of Electrical and Computer Engineering (IJECE) · Vol. 9 No. 4 (2019)

DOI
10.11591/ijece.v9i4.pp2831-2839
ISSN
2088-8708, 2088-8708
Published
2019-08-01
Publisher
Institute of Advanced Engineering and Science
License
creativecommons.org/licenses/by-nc/4.0

Abstract

In a power system, the load demand considers two components such as the real power (P) because of resistive elements, and the reactive power (Q) because inductive or capacitive elements. This paper presents a graphical representation of the electric power demand based on the topological properties of the Julia Sets, with the purpose of observing the different graphic patterns and relationship with the hourly load consumptions. An algorithm that iterates complex numbers related to power is used to represent each fractal diagram of the load demand. The results show some representative patterns related to each value of the power consumption and similar behaviour in the fractal diagrams, which allows to understand consumption behaviours from the different hours of the day. This study allows to make a relation among the different consumptions of the day to create relationships that lead to the prediction of different behaviour patterns of the curves.

Collaboration network of the authors

27 authors · 48 co-authorship links · 20 across different organisations

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

  • Universidad Nacional de Colombia
  • Universidad Católica de Manizales
  • Tecnológico de Antioquia
  • Institución Universitaria Pascual Bravo
  • Universidad del Magdalena
  • Universidad de la Costa
  • National Research Council
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Alejandro RincónUniversidad Católica de Manizales3
Nicolás Toro GarcíaUniversidad Nacional de Colombia3
Yeison Alberto Garcés-GómezUniversidad Católica de Manizales2
Gloria Yaneth Flórez YépesUniversidad Católica de Manizales2
John Alexander TabordaUniversidad del Magdalena2
Mauricio García VargasUniversidad Nacional de Colombia2
Carlos Ildefonso Hoyos VelascoNational Research Council2
Luis Gabriel Lafaurie PonceUniversidad Nacional de Colombia2
Sergio Andrés Pizarro PérezAffiliation unknown2
Eder Alexander Molina ViloriaTecnológico de Antioquia2
Lina F. AcevedoUniversidad Nacional de Colombia1
Gilbert Bothia-VargasUniversidad Nacional de Colombia1
Fabiola AnguloAffiliation unknown1
Michel Duran-QuinteroUniversidad de la Costa1
Jose Soto-OrtizAffiliation unknown1
Odair Augusto Trujillo OrozcoUniversidad Nacional de Colombia1
Aquiles J. MoreloUniversidad Nacional de Colombia1
Simeón Casanova TrujilloUniversidad Nacional de Colombia1
Susana V. AwadUniversidad Nacional de Colombia1
Joaquin F OrozcoUniversidad Nacional de Colombia1
Gonzalo M AriasTecnológico de Antioquia1
Pablo PeláezTecnológico de Antioquia1
Vladimir Henao-CéspedesUniversidad Católica de Manizales1
Juan Carlos Granobles ToresUniversidad de Manizales1

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.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2088-8708/works, first harvested 27 Okt 2026, last seen 27 Okt 2026.
Metadata as oai_dc, converted from Crossref 
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Fractal representation of the power demand based on topological properties of julia sets</dc:title><dc:creator>Tabares-Ospina, Hector A.</dc:creator><dc:creator>Candelo-Becerra, John E.</dc:creator><dc:creator>Velasco, Fredy E. Hoyos</dc:creator><dc:description>&lt;jats:p&gt;In a power system, the load demand considers two components such as the real power (P) because of resistive elements, and the reactive power (Q) because inductive or capacitive elements. This paper presents a graphical representation of the electric power demand based on the topological properties of the Julia Sets, with the purpose of observing the different graphic patterns and relationship with the hourly load consumptions. An algorithm that iterates complex numbers related to power is used to represent each fractal diagram of the load demand. The results show some representative patterns related to each value of the power consumption and similar behaviour in the fractal diagrams, which allows to understand consumption behaviours from the different hours of the day. This study allows to make a relation among the different consumptions of the day to create relationships that lead to the prediction of different behaviour patterns of the curves.&lt;/jats:p&gt;</dc:description><dc:publisher>Institute of Advanced Engineering and Science</dc:publisher><dc:date>2019-08-01</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.11591/ijece.v9i4.pp2831-2839</dc:identifier><dc:identifier>10.11591/ijece.v9i4.pp2831-2839</dc:identifier><dc:source>International Journal of Electrical and Computer Engineering (IJECE); Vol 9 No 4 (2019); 2831</dc:source><dc:source>2088-8708</dc:source><dc:source>2088-8708</dc:source><dc:relation>http://ijece.iaescore.com/index.php/IJECE/article/viewFile/16829/13111</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>