Abstract
This report has found a prospective analytical model for an edge response of a transmit-receive eddy current coil. A probe of this design could be used to determine in real time the molten metal height and remaining wall thickness within a pyrometallurgical furnace. This work heavily uses previously published methods to find a possible expression for the change in mutual coil impedance resulting from a right-angled edge. An advancement in the method includes using the Lorentz Reciprocity relations for a transmit-receive system to calculate impedance change. Awaiting the completion of the model, an expected response has also been modelled in a finite element method software, which will be used to verify the analytical model. Also, an experiment has been designed to be able to validate both models. What remains to be completed is a successful code implementation of the mathematics, to produce results. While analytical solutions to the equations have been obtained, implementation of coded solutions remains incomplete. Some methods for improving the code will be to better condition the matrices described in the linear algebra interface between the three regions, as well as making further improvements on the root-finding code.
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