A new method of optimal design of the excitation coil for an electroma
gnetic flow meter is presented. The main goal is to form an algorithm
which will be able to deal with natural channels of any shape with con
ductive beds/banks. The presented method allows an engineer to design
an optimal coil to obtain homogeneity of the special weight vector W.
This homogeneity provides that the voltage measured between the electr
odes of the flow meter will be proportional to the mean velocity of th
e liquid in the channel. The optimization of the coil shape is carried
out through minimization of an objective function defined on the basi
s of a finite element method 2D model of the cross-section of the chan
nel.