Fractal geometry for distribution grid topologies

F. Barakou, D. Koukoula, N. Hatziargyriou, A. Dimeas

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

7 Citations (Scopus)


This paper presents an application of fractal geometry in the design, development and expansion of distribution networks. In order to prove that electrical grids are fractal in form, the fractal dimension of distribution networks is measured using the box-counting algorithm. Then a two dimensional stochastic dielectric breakdown model (DBM) is utilized in order to generate virtual distribution networks. The fractal dimension of the simulated growth patterns varied depending on η which is the exponent of the breakdown probability distribution. By controlling the value of η, growth patterns similar to the actual distribution networks could be produced. Finally, some electrical characteristics (maximum voltage drop, total power losses) of the fractal generated networks are measured and compared with the real distribution networks.

Original languageEnglish
Title of host publication2015 IEEE Eindhoven PowerTech, PowerTech 2015
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781479976935
Publication statusPublished - 31 Aug 2015
EventIEEE Eindhoven PowerTech, PowerTech 2015 - Eindhoven, Netherlands
Duration: 29 Jun 20152 Jul 2015


ConferenceIEEE Eindhoven PowerTech, PowerTech 2015


  • box-counting method
  • Dielectric Breakdown Model
  • electricity network
  • fractal dimension
  • fractal geometry


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