INVESTIGATION OF NONLINEAR MAGNETIC CIRCUITS OF MEASURING TRANSDUCERS WITH A SPECIAL PARAMETER DISTRIBUTION STRUCTURE
Abstract
The article proposes a new analytical method for investigating nonlinear magnetic circuits with a special structure of parameter distribution. The method is based on introducing into the system of nonlinear differential equations of such circuits the condition that the second derivative of the magnetic flux along the length of the circuit is equal to zero, as well as on the assumption that one of the geometric parameters of the studied magnetic circuit – the size of the air gap between the ferromagnetic rods, their thickness, width, or the linear value of the number of turns of the distributed excitation winding is a function of the coordinate along the length of the circuit. The combination of these conditions makes it possible to significantly simplify the initial system of equations and obtain exact analytical expressions for the distribution of magnetic fluxes and magnetic tensions along the investigated magnetic circuit. The application of this method to the study of nonlinear magnetic circuits with a special structure of parameter distribution has made it possible to obtain analytical dependencies of the air gap between long ferromagnetic rods, their width, and the linear value of the number of turns of the distributed excitation winding on the coordinate of the circuit length. The obtained dependencies ensure an increase in the linearity of the magnetic flux distribution in long ferromagnetic rods and, in a few cases, also maintain constant magnetic tension between them, which is a necessary condition for ensuring the linearity of the static characteristics of many electromagnetic measuring transducers of electrical and non-electrical quantities.