Thermal identification of building multilayer walls using reflective Newton algorithm applied to quadrupole modelling

On the Evolution and Application of the Thermal Network Method for Energy Assessments in Buildings

“…Another application of thermal networks for energy assessments in buildings was done by Ginestet [44], who intended to make a calculation device for architects in order to determine the suitability of the initial sketch, from the energy consumption point of view. In his tool, a 2R1C model is identified for a multi-layer wall with a reflective Newton algorithm.…”

New thermal parameters identification approach applied to the thermal renovation of buildings

“…Each iteration consists in finding an estimate of the solution of a large linear system using the method of the conjugate preconditioned gradients, Coleman and al [21,22]. The authors successfully have used this method upon their thermal building model with thermal quadripoles [23]. However, due to a lack of stability and the existence of multiple minima in the parameters space, it is imperative to describe the initial conditions correctly and adjust the intervals between which the parameters are located.…”

Numerical and experimental identification of simplified building walls using the reflective Newton method

“…The solutions are presented as a Pareto front, a set of non-dominated solutions, that is, solutions for which we cannot decide whether one solution is better than another because there is no single solution that systematically has a lower value than the others on all of the objectives. Ginestet et al (2013) studied the multilayer walls of buildings by coupling a direct thermal model with a specific optimization algorithm. In their contribution, a temperature calculation model for simple buildings is presented, based on the coupling of two models: a direct model using the thermal quadrupole method and an inverse model based on the reflective Newton method applied for nonlinear functions.…”

“…In this article, the process described in Ginestet et al (2013) shall be completed. The aim of this article is to provide a new numerical modeling approach together with an experimental validation as an application for a simplified test cell.…”