Saddle-node bifurcation in the dynamic analysis of a national energy market

Redondo, Johan Manuel; Olivar Tost, Gerard; Ibarra-Vega, Danny; Peña-Rincon, Carlos

dc.creator	Redondo, Johan Manuel	es
dc.creator	Olivar Tost, Gerard	es
dc.creator	Ibarra-Vega, Danny	es
dc.creator	Peña-Rincon, Carlos	es
dc.date	2018-11-02
dc.date.accessioned	2025-07-25T16:21:02Z
dc.date.available	2025-07-25T16:21:02Z
dc.identifier	https://publicaciones.unad.edu.co/index.php/memorias/article/view/3066
dc.identifier	10.22490/25904779.3066
dc.identifier.uri	https://repository.unad.edu.co/handle/10596/72202
dc.description	This article presents preliminary results of the mathematical analysis of a national energy market. The modeling of the studied system was made from causal relationships between the supply and demand of a national energy market, obtaining a system of ordinary differential equations of the first order of the electric power capacity in construction, the electric power capacity installed and the price of electricity in the market (Redondo et.al, 2018). In the dynamic analysis of the model, a saddle-node bifurcation was identified for the case in which the elasticity of the price with respect to the reserve margin is considered null, which allowed establishing two prospective scenarios of the system: absolute disappearance of the supply of electricity or tendency of growth of the supply to the attention of the demand of the market	es
dc.format	application/pdf
dc.language	spa
dc.publisher	UNAD	es
dc.relation	https://publicaciones.unad.edu.co/index.php/memorias/article/view/3066/3102
dc.rights	Derechos de autor 2019 Memorias	es
dc.source	Memorias; Workshop and International Seminar on Complexity Sciencies; 51 - 57	es
dc.source	2590-4779
dc.subject	National energy markets	es
dc.subject	equilibria point	es
dc.subject	saddle-node bifurcation	es
dc.subject	Dynamical Systems.	es
dc.title	Saddle-node bifurcation in the dynamic analysis of a national energy market	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es