Shaiban T. Multi-parameter electromagnetic transducer with spatially-periodic field for controlling cylindrical products

The physic-mathematical model of an electromagnetic transducer with non-uniform distribution of an electromagnetic field for a conductor with a current located along the lateral surface of a cylindrical product at a distance d from the center of a metallic cylinder of radius a. Mathematical expressions are obtained to determine the intensity of the mag-netic field for r-th and φ-th components, generated by the current of one conductor (or pole with finite angular dimensions). The thickness of the pole with a total current is taken into account, which leads to the replacement of r quantity in the formulas for field strength by effective radius. Mathematical expressions are obtained to determine amplitude and phase of transducer’s signal n-th spatial harmonics, which are generated in the measuring windings located along the surface of the cylindrical object with the angular coordinate φ on a circle of radius d. Experiments have been carried out to confirm the adequacy of the transducer’ proposed model, which showed the difference between the calculated and ex-perimentally obtained values of the EMF of the transducer’ output signal. The method based on the electromagnetic trans-ducer with two magnetized poles and a different direction of current is developed. The universal functions of conversion with use of 1-st and 3-rd spatial harmonics are obtained, also the algorithm of realization of cylindrical wares’ parameters multi-parameter control is offered.