Analytical analysis of the price of energy in the market through dipheomorphic attractors

Abstract

Abstract The following document presents the modeling and qualitative analysis of an electric power system with which it is intended to use Takens’ theorem to show its effectiveness or inefficiency when predicting attractors. Knowing an initial state will show the procedure to know a state of the system even when all the variables that interact in the system are not known analytically; results obtained will also show two of the corresponding simulations in Matlab-software. The dipheomorphic attractor methodology allows us to advance much beyond the analytical techniques since no matter how exact the equation that models the system is, it is not the real one, the only real thing we have is the data periodically delivered by the system. in which case they will be the input data to build the attractor that allows obtaining information from the system.