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Details of Grant 

EPSRC Reference: GR/R21905/01
Title: Mathematical Modelling of Bulk 3-D Superconductors With Application To Brushless AC Machines
Principal Investigator: McCulloch, Professor M
Other Investigators:
Chapman, Professor SJ Howison, Professor S
Researcher Co-Investigators:
Project Partners:
Department: Engineering Science
Organisation: University of Oxford
Scheme: Standard Research (Pre-FEC)
Starts: 01 December 2001 Ends: 30 November 2003 Value (£): 104,363
EPSRC Research Topic Classifications:
Electric Motor & Drive Systems Energy - Conventional
Numerical Analysis
EPSRC Industrial Sector Classifications:
Aerospace, Defence and Marine Energy
Transport Systems and Vehicles
Related Grants:
Panel History:  
Summary on Grant Application Form
High temperature superconductors can dramatically increase the power density of electrical power components, because they can carry very high current densities (>100 A/mm2 ) and can trap fields of the order of 11 T. A mass market potential is being created, eg. the use of liquid hydrogen is being explored by companies such as BMW. There is a need for suitable numerical analysis tools for bulk superconductors. This propsal aims to provide high quality tools for use by designers of equipment. Initial work in 2-D has yielded very promising results (http:/twww.eng.ox.ac.uk/-epggjb/res-front.html). The 2-D model needs to be extended (objectives i-iv), and the issue of 3-D models must be addressed (objectives vi-xi).To date there has been very little work on the Bean model in 3D. Over and above the obvious additional complexity associated with a vectorial magnetic field, and the need to couple the solution to Maxwell's equations outside the superconducting sample, there is the additional complication that there is no universally accepted version of the Bean-model in three dimensions. Three different models will be analysed. These models will be formulated as a variational inequality (or quasi-variational if Jc depends on the magnetic field), and a numerical scheme for its solution will be developed. The results will be compared with experimental results for regular geometry.
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Organisation Website: http://www.ox.ac.uk