Method of making optimized, air-core electromagnets

摘要

Method of making Optimized electromagnets. The electromagnets have at least three coaxial coils and can be symmetric or asymmetric. The coils can be circular or elliptical. The electromagnets have a coil region in which the coils are located. The coil region can have a bore of any rotationally symmetric shape or any elliptical shape. The coil region is shaped to allow an object to access a predetermined axial magnetic field produced by the magnet. The magnets are optimized in that they require the least amount of power (for resistive electromagnets) or wire length (for superconducting magnets) for the given predetermined axial magnetic field and the shape of the predetermined coil region. The method of present invention restricts the current density in each coil to the same value. This simplification allows the magnet design optimization problem to be cast as a L1-norm minimization linear programming calculation for which a global solution can always be found. Solution of the calculation provides the optimized currents in each of a large number of virtual coils. The method automatically chooses the minimum number of coils so the magnets are practical to construct.