Nonlinear Circuit Reliability Analysis Based On Interval Analysis

With the wide application of non-linear circuits in various fields of people's lives,it provides superior conditions for people's culture and material life,such as power communications automotive electronics industrial control and aerospace power supplies,the unreliability of non-linear circuits may affect the entire system to fail to work properly,and its importance is increasingly manifested,people also have higher and higher requirements for their stability and reliability.Therefore,the reliability analysis of nonlinear circuits is particularly important.In recent years,interval analysis has been widely used in uncertain optimization problems?nonlinearity statics?engineering applications and dynamics etc.Therefore,circuit characteristics can be studied based on interval analysis.Based on the interval analysis method,this topic analyzes the main performance parameters of nonlinear circuits with uncertain parameters.Based on numerical simulation modeling method and Taylor formula theory,the theory and method of nonlinear circuit reliability analysis are studied.This article mainly studies the following aspects.(1)Introduce the basic principle of interval analysis and its four algorithms,aiming at the reliability analysis of uncertain parameter circuit,this paper proposes a method to analyze the main performance range of the circuit by using the interval number of uncertain parameters in the circuit.(2)Aiming at the shortcomings of traditional circuit modeling methods,such as large amount of computation complex modeling process and long time consuming a numerical simulation,modeling method is proposed to simplify the modeling process.The working principles of the second-order filter circuit and Boost converter are introduced and the analytical expressions of the main performance parameters of the two circuits are obtained.(3)Aiming at the problems of low efficiency and high cost of traditional nonlinear circuit reliability analysis methods,an interval analysis method based on interval analysis and first-order Taylor expansion theory is proposed,the uncertain parameters and main performance parameters in the circuit are regarded as intervals,vector using the Taylor expansion method to obtain the relationship between the main performance parameters and uncertain parameters,then get the range of performance parameters.(4)Finally take the second-order low-pass filter circuit and boost converter as examples,change the uncertain parameter value in the simulation circuit model,and obtain the simulation data of the main performance parameters through software simulation,and use the interval analysis method to analyze the main performance parameters,it realizes the interval prediction of the main performance parameters of a typical circuit.For the reliability analysis of nonlinear circuits with uncertain parameters,the results based on the interval analysis are very close to the results of simulation experiments.