Comparison of Parameter Identification Methods for Linear Dynamic Systems Under Mixed Noise

The equivalent circuit model of pulsed eddy current testing (PECT) has simple mathematics but its applications are limited to qualitative analysis such as principle illustration and signal interpretation. In this paper, the parameters of equivalent circuit model are estimated using system identification method and quantitative relationships are found between some of the parameters and the size of the defect. The equivalent circuit equations were solved from the perspective of system analysis to yield the system transfer function. An m-sequence of 10 order was selected to excite the system and the probe current was used as the output. A set of experiment input-output data for system identification were obtained by performing experiments on two aluminium alloy 6061 slabs, one of which was machined with five slots of different widths, and the other one was machined with five depth-varied slots. The equivalent circuit parameters were finally estimated based on the identified transfer function parameters. It is found that the values of resistance and self-inductance of the secondary windings decrease greatly and monotonically with the increase of the slot width or depth. The self-inductance is more sensitive to the slot size variation than the resistance. Both of them have the potential to serve as the signal feature for defect evaluation in PECT applications.

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“…Considering the actual output signal always contains noises, then the discrete transfer function model further becomes 28…”

Section: System Identificationmentioning

confidence: 99%

Parameter identification of pulsed eddy current testing equivalent circuit model and its application to defect evaluation

Fan

Song

2021

Measurement and Control

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On Local Stability in the Complete Prony Problem

Lomov

2024

Sib. Adv. Math.

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A theoretical and experimental study of transient characteristics of the heat exchange in a thermal control system

2021

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Introduction. The “Heater-Blower-Room” thermal control system represents three different interconnected subsystems. It is necessary to study the transient characteristics of the heat exchange process, that is underway in the subsystems, including informative impulse responses, to stabilize the system operation. It is a non-parametric problem, and its solution requires identification algorithms. Materials and methods. Mathematical models of the subsystems represent the Volterra integral equation of the first kind with an undetermined difference kernel, or an impulse response. An impulse response evaluation is a solution to this equation in respect of registered noisy input and output values. The problem is to evaluate unknown impulse responses for the subsystems where the output of one subsystem is the input of another one. This problem is ill-posed, and features of identification-focused experiments do not allow to apply computational methods of classical regularization algorithms. The co-authors propose two specific non-parametric identification algorithms where impulse responses are evaluated using stable first derivatives by means of smoothing cubic splines through the optimal smoothing parameter selection on the basis of the statistical optimality criterion. Results. The co-authors solve inverse problems of impulse response identification and direct problems of heat flux reaction prediction. The research results demonstrate a high level of convergence between the evaluated data and observation findings. Both experimental and theoretical results represent the findings of the research performed by the co-authors. Conclusions. The results have proven the efficiency of the algorithms proposed for the identification of solutions to the problems of complex technical systems.

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Comparison of Parameter Identification Methods for Linear Dynamic Systems Under Mixed Noise

Cited by 3 publications

References 11 publications

Parameter identification of pulsed eddy current testing equivalent circuit model and its application to defect evaluation

Parameter identification of pulsed eddy current testing equivalent circuit model and its application to defect evaluation

On Local Stability in the Complete Prony Problem

A theoretical and experimental study of transient characteristics of the heat exchange in a thermal control system

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