Inteligencia de mercados: comportamientos estratégicos sobre precios de oferta en el mercado spot eléctrico Colombiano

El mercado de energía mayorista es uno de los sectores industriales más competitivos de Colombia, y representa uno de los ejes principales en la economía del país. Este mercado ha sido objeto de estudio de varias áreas de conocimiento como la ingeniería eléctrica, economía, finanzas y otros. Aquí se presenta un análisis de los posibles comportamientos estratégicos de los principales agentes de la industria, desde la perspectiva de la inteligencia artificial orientada a la inteligencia de mercados, es decir, un trabajo multidisciplinar centrado en la explicación y emulación de la conducta inteligente y posiblemente estratégica de los agentes involucrados en la actividad de generación de energía en Colombia.The energy market is one of the most competitive Colombian industry sectors, and represents one of the main strategic focus in economy and development of the country. This market has been under study of many knowledge areas such as electric engineering, economy, financial and others. In this work, is presented an analysis of all the possible strategic behaviors of major industry players, from the basis of artificial intelligence oriented to market intelligence, that is, a multidisciplinary work focused on the explanation and emulation of intelligent behavior and possibly strategic of the actors involved in each market activities and in particular the behavior of energy-generating agents in Colombia

Error estimates for the gradient discretisation of degenerate parabolic equation of porous medium type

International audienceThe gradient discretisation method (GDM) is a generic framework for the spatial discretisation of partial differential equations. The goal of this contribution is to establish an error estimate for a class of degenerate parabolic problems, obtained under very mild regularity assumptions on the exact solution. Our study covers well-known models like the porous medium equation and the fast diffusion equations, as well as the strongly degenerate Stefan problem. Several schemes are then compared in a last section devoted to numerical results

Método de Galekin Discontinuo Híbrido para la ecuación de Darcy

En el presente documento se propone el método Galerkin Discontinuo Híbrido (HDG) para solucionar uno de los problemas clásicos de la mecánica de fluidos, la ecuación de Darcy, que describe el comportamiento de un fluido en un medio poroso. Además se exponen los resultados teóricos de existencia y unicidad de la solución aproximada de la ecuación de Darcy y el respectivo análisis de error del método Galerkin Discontinuo Local (LDG) y del método HDG con el fín de comparar sus características y los resultados de ambos sobre un problema particular.Abstract: In this document we propose the Hybrid Discontinuous Galerkin (HDG) method to solve a classic problem of fluids mechanics, the Darcy's equation, which describes the behavior of a fluid in a porous medium. Further we present the theoretical results of existence and uniqueness of the approximated solution for Darcy's equation and the respective error analysis for the Local Discontinuous Galerkin method (LDG) and HDG in order to compare their features and results.Maestrí

A benchmark study of the multiscale and homogenization methods for fully implicit multiphase flow simulations

Accurate simulation of multiphase flow in subsurface formations is challenging, as the formations span large length scales (km) with high-resolution heterogeneous properties. To deal with this challenge, different multiscale methods have been developed. Such methods construct coarse-scale systems, based on a given high-resolution fine-scale system. Furthermore, they are amenable to parallel computing and allow for a-posteriori error control. The multiscale methods differ from each other in the way the transition between the different scales is made. Multiscale (finite element and finite volume) methods compute local basis functions to map the solutions (e.g. pressure) between coarse and fine scales. Instead, homogenization methods solve local periodic problems to determine effective models and parameters (e.g. permeability) at a coarser scale. It is yet unknown how these two methods compare with each other, especially when applied to complex geological formations, with no clear scale separation in the property fields. This paper develops the first comparison benchmark study of these two methods and extends their applicability to fully implicit simulations using the algebraic dynamic multilevel (ADM) method. At each time step, on the given fine-scale mesh and based on an error analysis, the fully implicit system is solved on a dynamic multilevel grid. The entries of this system are obtained by using multiscale local basis functions (ADM-MS), and, respectively, by homogenization over local domains (ADM-HO). Both sets of local basis functions (ADM-MS) and local effective parameters (ADM-HO) are computed at the beginning of the simulation, with no further updates during the multiphase flow simulation. The two methods are extended and implemented in the same open-source DARSim2 simulator (https://gitlab.com/darsim2simulator), to provide fair quality comparisons. The results reveal insightful understanding of the two approaches, and qualitatively benchmark their performance. It is re-emphasized that the test cases considered here include permeability fields with no clear scale separation. The development of this paper sheds new lights on advanced multiscale methods for simulation of coupled processes in porous media.</p

A benchmark study of the multiscale and homogenization methods for fully implicit multiphase flow simulations

Accurate simulation of multiphase flow in subsurface formations is challenging, as the formations span large length scales (km) with high-resolution heterogeneous properties. To deal with this challenge, different multiscale methods have been developed. Such methods construct coarse-scale systems, based on a given high-resolution fine-scale system. Furthermore, they are amenable to parallel computing and allow for a-posteriori error control. The multiscale methods differ from each other in the way the transition between the different scales is made. Multiscale (finite element and finite volume) methods compute local basis functions to map the solutions (e.g. pressure) between coarse and fine scales. Instead, homogenization methods solve local periodic problems to determine effective models and parameters (e.g. permeability) at a coarser scale. It is yet unknown how these two methods compare with each other, especially when applied to complex geological formations, with no clear scale separation in the property fields. This paper develops the first comparison benchmark study of these two methods and extends their applicability to fully implicit simulations using the algebraic dynamic multilevel (ADM) method. At each time step, on the given fine-scale mesh and based on an error analysis, the fully implicit system is solved on a dynamic multilevel grid. The entries of this system are obtained by using multiscale local basis functions (ADM-MS), and, respectively, by homogenization over local domains (ADM-HO). Both sets of local basis functions (ADM-MS) and local effective parameters (ADM-HO) are computed at the beginning of the simulation, with no further updates during the multiphase flow simulation. The two methods are extended and implemented in the same open-source DARSim2 simulator (https://gitlab.com/darsim2simulator), to provide fair quality comparisons. The results reveal insightful understanding of the two approaches, and qualitatively benchmark their performance. It is re-emphasized that the test cases considered here include permeability fields with no clear scale separation. The development of this paper sheds new lights on advanced multiscale methods for simulation of coupled processes in porous media.Petroleum EngineeringNumerical Analysi