A parameter identification method for fractional order inductance of iron core reactor

This paper is based on the capacitance and inductance are the fractional order, using the experimental method of measuring the impulse response characteristics of the iron core reactor. According to the fractional calculus Mittag-Leffler function of the Laplasse transform formula, the use of MATLAB toolbox in the MLF function program, so as to calculate the pulse response characteristics of the fractional order iron core reactor. Finally, the three parameters (equivalent resistance, inductance and fractional order) of the impedance model of an iron core reactor are obtained by the least square method. The pulse responses using the extracted parameters show very close agreement with the simulated and experimental datasets; with less than 0.1% relative error for the simulations and less than 10% from the experimental results. This method makes up for the defects of the parameters in the production design and the practical application of the iron core reactor.