Transformations of equations with approximation of characteristics of nonlinear elements by power polynomial

The article discusses some transformations of the equation associated with approximations in the form of a polynomial, which is quickly transferred to a convenient equation compiled with respect to the main input and output values and gives generalized dependencies for a number of nonlinear systems. As an example, a part of a magnetic circuit with longitudinal and orthogonal magnetization fields is given. Relations are presented that connect the inductions B 1 , B 2 as input and output quantities, which in turn are directly related to the corresponding voltages U 1 and U 2 . For all three magnetic circuits, dependencies are obtained that convert the input and output currents i 1 , i 2 into input and output inductions B 1 , B 2 with an approximating function in the form of a polynomial of any degree.

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