Correlation between the bifurcation diagram structure and the predominant harmonics of an electrical power network response

Mohamed Zarouan, Sofiène Allali and Mohamed Benrejeb

Chaos, Solitons & Fractals, 2009, vol. 42, issue 1, 483-491

Abstract: After localization of initial starting bifurcation points from the fixed points diagram, in our work, the fold diagrams, the pitchfork diagram, and the Hopfs diagram were traced, in order to put forward a new structure of bifurcation diagram of a faulted mono-phase electrical power network. Then, the correlation between the predominant harmonic map and the bifurcation diagram is highlighted in this article. In fact, we deduced that the fold diagram existence implies the odd predominant harmonic existence, and the existence of pitchfork diagram implies, this way and that, the even predominant harmonic existence.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:1:p:483-491

DOI: 10.1016/j.chaos.2009.01.016

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