Coil efficiency and sensitivity analysis for dipole magnets.
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Abstract:
In this seminar, we describe two tools that can be useful for the design of superconducting accelerator magnets.
The first one is the concept of coil efficiency, which defines how much magnetic field a magnet design can provide given (i) a current density and (ii) a quantity of conductor. This allows comparing different layouts (cos theta, sector, blocks, ...) and benchmarking the efficiency of a design with respect to what can be obtained by an optimal configuration of conductors.
The second one is a formula to account for the dependence of the short sample field on the characteristics of the design as the (i) critical surface slope, (ii) the quantity of copper, (iii) the critical current, (iv) the coil efficiency, (v) the iron contribution, and (vi) the ratio peak field/bore field. We show that a magnet can be characterized by an adimensional number "Factor X" namely the ratio between the slope of the critical surface and the slope of the loadline; this factor is the driving term for the sensitivity analysis that can be derived through a linearization of the critical surface. Simple equations can be derived to provide a full sensitivity analysis that can drive the magnet design.