Fractal Elements

Abstract

It is well known that state equations of electric circuits that contain passive RLC elements with lumped parameters (RLC-ELP) are ordinary differential equations, the order of which is the same as that of the number energy-storing elements. For example, the electric processes of an LC oscillator with losses due to the resistance R (see Fig. 3.1) are described by the following integer-order integral-differential equation: Cdu(t)dt+u(t)R+1L∫u(t)dt=iIN(t).(formula presented)