A New Electromagnetic Emission Source Frequency and Factor Identification Approach for Nonlinear Circuits From the Output Spectrum Data

Abstract

For the practical nonlinear circuits, a number of new frequencies are generated in the output spectrum, which makes electromagnetic interference location quite challenging. To mitigate this problem, an approach is proposed to identify the electromagnetic emission source frequencies and nonlinear factors from the output spectrum of nonlinear circuits. The amplitude of the output spectrum with the input of two sine signals is first calculated based on the power series. Then, the Order Image (OI) is defined to reveal the output spectrum features, and its symmetry characteristic has been comprehensively analyzed. Results show that the maximum symmetry index is observed when the reference frequencies are equal to the excitation frequencies. Based on this observation, the electromagnetic emission source frequencies can be obtained. In addition, a Backward Algorithm (BA) has been introduced to extract nonlinear factors. The proposed approach only requires the output spectrum and the amplitude of one excitation. Compared with other techniques, like the Support Vector Machines and the Recurrent Neural Network, it needs much less prior information. Finally, several examples are carried out to verify the effectiveness of the proposed approach. Results show that the emission source frequencies and nonlinear factors can be accurately extracted. Therefore, the proposed approach shows great potential in electromagnetic interference location and characteristic analysis for nonlinear circuits. INDEX TERMS Electromagnetic emission sources, identification, nonlinear circuits, Order Image, power series.

An Algorithm for Output Spectrum Analysis of Nonlinear System with Correlative Sources Based on Power Series

“…By considering all power series terms, the value for can be corrected from Refs. [10,11] as Eq.(). where m and n are non‐negative integers, , , and , , and .…”

“…When a K order power series is used, the output signal is given as Eq. () [ 10 , 11 ] . where x denotes the input signal, K denotes the nonlinear order, and is the nonlinear factor.…”

“…By considering all power series terms, the value for A p,q can be corrected from Refs. [10,11] as Eq. (15).…”

“…An algebraic formula for quickly calculating amplitudes of intermodulation frequencies was proposed based on the power series in Refs. [10,11]. Furthermore, for the two‐dimensional nonlinear elements problem, a simplified analysis method, named as Arithmetic operator method (AOM), was proposed for nonlinear system output spectrum prediction and transient analysis based on a generalized power series in Refs.…”

“…To mitigate those problems, an algorithm for output spectrum analysis of nonlinear system with correlative sources is proposed. In this paper, the weak nonlinear systems are analyzed through the power series models due to its strong capability of revealing physical properties of new spectral components [ 10 , 11 ] . The output terms of the nonlinear system are analyzed based on the power series.…”