Convex optimisation of gradient and shim coil winding patterns.

摘要: Gradient and shim coils were designed using boundary element methods with convex optimisation. The optimisation framework permits the prototyping of many different cost functions constraints, for example l(p)-norms current density. Several examples gradients shims simulated to demonstrate this, as well investigate behaviour new functions. A mixture l(1)- l(∞)-norms density, when used a regularisation term in field synthesis problem, was found produce bunches equally spaced windings that do not take up all available surface. This is thought be beneficial design will manufactured from wire fixed cross-section.