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

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

doi:10.22490/25904779.3066

Workshop and International Seminar on Complexity Sciencies

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2018-11-02

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Redondo, J. M., Olivar Tost, G., Ibarra-Vega, D., & Peña-Rincon, C. (2018). Saddle-node bifurcation in the dynamic analysis of a national energy market. Memorias, 1, 51-57. https://doi.org/10.22490/25904779.3066

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

DOI: https://doi.org/10.22490/25904779.3066

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Artículos

Johan Manuel Redondo PhD. Professor. Catholic University of Colombia. Bogota D.C - Colombia

Gerard Olivar Tost PhD. Professor. National University of Colombia. Manizales – Colombia

Danny Ibarra-Vega PhD. Professor. National University of Colombia. Manizales – Colombia

Carlos Peña-Rincon PhD. Professor. Sergio Arboleda University - Bogotá D.C - Colombia

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

National energy markets, equilibria point, saddle-node bifurcation, Dynamical Systems.

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