Transient and Steady Current in a Series RL Circuit

Coufal, Oldřich

doi:10.1109/access.2022.3199067

Cited by 3 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In In eddy current testing, the specimen is equivalent to the RL circuit in the circuit model of the transformer, as shown in Figure 1 (b). It is necessary to take a certain length of time for the eddy current generated in the specimen to reach the maximum value [32,33]. The eddy current on the specimen decreases with the increase in the detection speed (𝑉 -𝑉 ), since the faster the detection speed is, the shorter the time for eddy current generation is, which will lead to a weaker eddy current intensity, as shown in Figure 2.…”

Section: Theoretical Analysis Of Eddy Current Testing Under Motion Co...mentioning

confidence: 99%

“…On the other hand, a certain amount of time is needed for the eddy currents to dissipate [32,33] when the driver coil moves on the specimen. If the coil gap is 0 mm, the pick-up coil can immediately sense the eddy current that has hardly dissipated, which makes the indirect coupling hardly decreases, as shown in Figure 3 (a).…”

Section: Theoretical Analysis Of Eddy Current Testing Under Motion Co...mentioning

confidence: 99%

See 1 more Smart Citation

Investigation of rolling contact fatigue cracks using the transmitter-receiver eddy current testing under moving conditions

Tian

et al. 2023

Nondestructive Testing and Evaluation

View full text Add to dashboard Cite

Rolling contact fatigue (RCF) cracks online detection using eddy current testing (ECT) is in urgent demand. However, RCF cracks detection and evaluation in this way under moving conditions remains challenging due to the velocity effect in ECT. This paper aims to study the response of a transmitter-receiver eddy current probe to cracks under moving conditions and evaluate the depth and inclination angle of RCF cracks. In this paper, a high-speed eddy current testing system is developed to experimentally investigate the influence of coil gap, detection speed, and the lift-off on the eddy current probe's response under moving conditions. In addition, the temporal and amplitude features of the eddy current signal are extracted to characterise the depth and inclination angle of the RCF cracks. The experimental results indicate the eddy current probe's response can be improved by increasing the coil gap (coil centre distance) suitably, which can be done to compensate for the attenuation of the eddy current signal caused by detection speed and lift-off. The probe's response hardly changes with an increase in detection speed when the driver and pick-up coils of the eddy current probe completely overlap. The maximum root means square error (RMSE) of evaluation for crack depth at different detection speeds was 0.36 mm. The maximum evaluation error for the inclination angle of the RCF crack was 4.2° when the detection speed was constant.

show abstract

Section: Theoretical Analysis Of Eddy Current Testing Under Motion Co...mentioning

confidence: 99%

Section: Theoretical Analysis Of Eddy Current Testing Under Motion Co...mentioning

confidence: 99%

Investigation of rolling contact fatigue cracks using the transmitter-receiver eddy current testing under moving conditions

Tian

et al. 2023

Nondestructive Testing and Evaluation

View full text Add to dashboard Cite

show abstract

Fuzzy-fractional modeling and simulation of electric circuits using extended He-Laplace-Carson algorithm

Qayyum,

Ahmad

2024

Phys. Scr.

View full text Add to dashboard Cite

In literature, most of the electric circuits are found to be at integer order, which are unable to capture the involved uncertainties and memory effects. To understand these effects, the current study is focused on modeling and analysis of fuzzy-fractional LC circuit, RC circuit, RL circuit, and RLC circuit. Triangular fuzzy numbers are utilized to introduce uncertainties in circuits. The memory effects are considered through fractional derivative in Caputo sense. A hybrid homotopy perturbation method (HPM) is established for solution purpose, in which standard HPM is combined with Laplace-Carson transformation in fuzzy-Caputo sense. This leads to an excellent and well-organized approach to calculate numerical solutions in the aspect of fuzzy logic and fractional calculus. The results obtainedthrough proposed approach are validated by comparing them with already existing results in literature. Residual errors are also calculated across the domain of r at fractional order to determine the convergence and stability of electric circuit models. To study the dynamics of inductor, resistor, and capacitor on current along with fractional and fuzzy parameters involved in the electric circuits, contour and three-dimensional plots are constructed. Several plots specifying the fuzzy membership function of models across various parameter values are also demonstrated. The results achieved through this study indicate that He-Laplace-Carson method can assist engineers and researchers when dealing with electric circuits characterized by fuzzy and fractional dynamics.

show abstract