Finite Element Method for forecasting the diffusion of photovoltaic systems: Why and how?
نویسنده
چکیده
The Finite Element Method (FEM) has been used in the broad field of continuum mechanics in engineering disciplines for several decades. However, recently, some scholars have attempted to apply the method to social science phenomena. What is the scope of using FEM in social science-related fields? Anchored in the literature on social sciences, this paper, firstly, reviews the scope of using FEM in social science phenomena, and then applies FEM to a semi-hypothetical case study on the diffusion of solar photovoltaic systems in southern Germany. By doing so, the paper aims to shed light on why and how the Finite Element Method can be used to forecast the diffusion of solar photovoltaic systems in time and space. Unlike conventional models used in diffusion literature, the computational model considers spatial heterogeneity. The model is based on a partial differential equation that describes the diffusion ratio of photovoltaic systems in a given region over time. The results of the application show that the FEM constitutes a powerful tool by which to study the diffusion of an innovation as a simultaneous space-time process. 2015 Elsevier Ltd. All rights reserved.
منابع مشابه
On the natural stabilization of convection diffusion problems using LPIM meshless method
By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshl...
متن کاملOptimal energy management of the photovoltaic based distribution networks considering price responsive loads, energy storage systems and convex power flows.
Nowadays, presence of photovoltaic systems in distribution network is not without challenge and it may not have economic productivity for the system under the lack of optimal management. Energy storage systems are able to cope with this problem. Therefore, in this paper, a new method is proposed for energy management of the distribution networks in order to show that how presence of the energy ...
متن کاملPrediction of Service Life in Concrete Structures based on Diffusion Model in a Marine Environment using Mesh Free, FEM and FDM Approaches
Chloride-induced corrosion is a key factor in the premature corrosion of concrete structures exposed to a marine environment. Fick's second law of diffusion is the dominant equation to model diffusion of chloride ions. This equation is traditionally solved by Finite Element Method (FEM) and Finite Difference Method (FDM). Although these methods are robust and efficient, they may face some numer...
متن کاملFinite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملA posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.
متن کامل