Methods for measuring the speed of movement of objects with a magnetic field source based on additive and multiplicative conversion of signals from two induction sensors

Results of a study of two methods for measuring the speed of objects with a magnetic field source based on the mutual secondary measurement conversion of signals from two induction sensors are presented. An example of such objects is a plasma piston in the channel of a magnetoplasmic electrodynamic accelerator, which is a moving conductor with a current that creates a magnetic field around itself. The first measurement method is based on an additive signal conversion function of two sensors, the second on a multiplicative one. A moving object is represented as a conductor with a current in the form of a linear rod of a certain length. The purpose of mutual conversion of two signals is to eliminate the dependence of the secondary signal on the coordinate of the object’s position. This makes it possible to ensure, provided the magnetic field of the object is constant (the current in the conductor is constant), that the secondary conversion function is strictly proportional to the measured parameter, the speed of the object. The methods of secondary measurement conversion were compared according to the criterion of ensuring the maximum length of the measuring section with a given permissible conversion error. The study was carried out by a computational experiment using computer modeling. Based on the study, it is concluded that the multiplicative method provides a longer length of the measuring section, compared with the additive method, with equal set values of the influencing quantities, and the parameters of functions approximating the experimental dependences of the length of the measuring section on the influencing quantities are obtained. It is assumed that the results will be used in further research on the development of methods for synthesizing devices for measuring the speed of objects with a magnetic field source.

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