Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fractional Models for Thermal Modeling and Temperature Estimation of a Transistor Junction | Hindawi Publishing Corporation Advances in Difference Equations Volume 2011 Article ID 687363 12 pages doi 2011 687363 Research Article Fractional Models for Thermal Modeling and Temperature Estimation of a Transistor Junction Jocelyn Sabatier 1 Huy Cuong Nguyen 1 2 Christophe Farges 1 Jean-Yves Deletage 3 Xavier Moreau 1 Franck Guillemard 2 and Bernard Bavoux2 1 CRONE Team IMS Laboratory CNRS UMR 5218 351 cours de la Liberation Bordeaux 1 University 33405 Talence France 2 Direction de la Recherche et de l Ingenierie Avancee PSA Peugeot Citroen Route de Gizy VV1404 78943 Velizy Villacoublay Cedex France 3 POWER Team IMS Laboratory CNRS UMR 5218 351 Cours de la Liberation Bordeaux 1 University 33405 Talence France Correspondence should be addressed to Jocelyn Sabatier Received 11 December 2010 Accepted 20 January 2011 Academic Editor J. J. Trujillo Copyright 2011 Jocelyn Sabatier et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. The thermal behavior of a power transistor mounted on a dissipator is considered in order to estimate the transistor temperature junction using a measure of the dissipator temperature only. The thermal transfers between the electric power applied to the transistor the junction temperature and the dissipator temperature are characterized by two fractional transfer functions. These models are then used in a Control Output Observer COO to estimate the transistor junction temperature. 1. Introduction Fractional differentiation has been widely used in the modelling of many physical and chemical processes and engineering systems such as electrochemistry and diffusion waves electromagnetic waves fractal electrical networks electrical machines nanotechnology viscoelastic materials and systems quantum evolution of complex systems 1 and heat .
