A direct BEM to model the temperature of gradient coils. (October 2015)

• Record Type: Journal Article
• Authors: Sánchez, Clemente Cobos; Rodriguez, Jose María Guerrero; Olozábal, Ángel Quirós; Poole, Michael
• Is Part Of: Engineering analysis with boundary elements. Volume 59(2015:Oct.)
• Page Start: 159
• Page End: 165
• Publication Date: 2015-10
• Subjects: BEM -- Electromagnetism -- MRI -- Heat equation; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2015.06.004
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The temperature of the gradient coils is an important issue in the development of MRI scanners. Gradient coil performance must be maximised within temperature limits imposed by safety and system requirements. Here we present a model that determines the temperature distribution in gradient coils designed using an inverse boundary element method (IBEM). This forward approach is derived by applying a constant boundary element method (BEM) on a steady-state approximation of the heat equation and combined with the stream function associated to an electric current density. It can be used to estimate the temperature distribution, as well as, the location and temperature of hot spots in gradient coils of arbitrary shape. Several examples of the applicability of the proposed BEM model on different coil geometries and thermal characteristics are presented. In order to validate the method, a small prototype X -gradient coil was built and tested, and the temperature distribution experimentally measured. It was found to be in a good agreement to the temperature distribution simulated by the proposed numerical approach with a suitable choice of the thermal properties.