Abstract

In the following chapter, we present a model for the supply and demand of electricity in a domestic market based on system dynamics. Additionally, the model shows piecewise smooth differential equations arising from the diagram of flows and levels, using dynamical systems theory for the study of stability of the equilibrium points that have such a system. We also present simulations, nonlinear numerical analysis, and qualitative analysis to the system of differential equations obtained, which is characterized by dynamics not smooth, due to the way decisions are made in that market. Using the software package Vensim and event-based scheme implementation in Matlab are verified as different saturation phenomena, oscillations, fixed points, among others, and the relationship between leverage points and stability of equilibrium points. Finally, we conclude the effects of climate seasonality in the market. Furthermore, we show that the system becomes periodically forced due to the external variable.