Method for designing electromagnets having arbitrary geometrical

Details Method for designing electromagnets having arbitrary geometrical Method for designing electromagnets having arbitrary geometrical

1999-05-21

2000-05-23

Donovan, Lincoln

Electricity: magnetically operated switches, magnets, and electr

Magnets and electromagnets

Magnet structure or material

324319, H01F 500

Patent

active

060670010

ABSTRACT:
A very flexible method for designing electromagnets which produce an arbitrary magnetic field. The conductors of the magnet can be constrained to an arbitrary surface or volume. The method provides the lowest power (or shortest wire-length) design given constraints on the desired magnetic field and constraints on where the coils can be located with respect to the desired magnetic field. The method begins with establishing a mesh of nodes and current elements connecting the nodes. The mesh can have any 2 or 3 dimensional shape (e.g. a rectangular grid on a cylinder). The magnet conductors can only be located where current elements are defined. A number of target points are established and a desired magnetic field is defined for each target point. Next, a matrix of coefficients is defined which relates the current in each current element with the magnetic field at each target point. Also, a total power expression is defined for the power consumed in the current elements. Finally, a constraint is provided which enforces Kirchoff's current law at the nodes. A linear programming (LP) problem is then defined in matrix form. In the LP problem, the total power expression is minimized subject to the constraints of the desired magnetic field at the target points, and Kirchoff's law. The result provides the necessary current in each of the current elements. Magnet conductors are built which correspond to the current elements having nonzero current.

REFERENCES:
patent: 5631618 (1997-05-01), Trumper et al.
patent: 5642087 (1997-06-01), Crow

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