Method for determining the parameters of fractional order models for fractional order coils and supercapacitors and system for implementing the method

摘要

The method of determining the parameters of the fractional series model for the fractional series tubes and supercapacitors shall be: that two resonance frequencies signalled by the phase shift detector (D) are measured in a circuit containing the fractional line line line pipe Lesi two converted sample capacitors C1w, C2w or supercapacitor (C?) and two switched reference tubes (Lw1, Lw2),and then measure the effective voltage value on the resonance circuit and the current in one of the resonance states, then on the basis of the determined resonance frequencies fLr1, fLr2 of the fractional coil system or fCr1, fCr2 of the supercapacitor C system? and the parameters of the standard elements C1w, C2w or Lw1, RLw1, Lw2, RLw2 are calculated by the parameters of the fractional elements of the sequence from the phase resonance condition in the radius of the RLC, which is described by the dependency Im{Z(j?) } == 0, which means that in the state of resonance, the combination of the reactivation of the L-series fractional tube and the C1w or C2w capacitor, or the supercapacitor (C?) and standard coil (Lw1,Lw2) from the side of the circuit clamps may be replaced by a shortcut. System for measuring the parameters of line-breaker tubes or supercapacitors (C?) is characterized by the fact that it consists of a sinusoidal voltage generator (G) of a spatial frequency, powered by a low voltage network, powering a series resonance circuit, a test element in the form of a fractional line Lss or supercapacitor (C?) connected by wires with one of the two interchangeable capacitors C1w, C2w or standard tubes (Lw1, Lw2),phase displacement detector (D) between the current and the voltage on the resonance circuit and the effective current meter (A),integrated in series into the resonance circuit and the effective voltage meter (V),parallel to the MRI circuit.