Improvement in calculation of the self- and mutual inductance of thin-wall solenoids and disk coils

Babić, Slobodan; Akyel, C.

doi:10.1109/tmag.2000.875240

Cited by 132 publications

(101 citation statements)

References 3 publications

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“…Using results of [39][40][41]43] the self inductances of the coils may be calculated, and using results of [42] the parasitic capacitances of the coils are evaluated. In the case of the coils with the turn number greater than 200, in which the wires are presented with more than one layer, the evaluation of the parasitic capacitances is verified based on frequency of the oscillatory response to step voltage and calculated selfinductance.…”

Section: Experimental Analysis and System Resultsmentioning

confidence: 99%

“…The values in Table 2 referring to transformers in opposite turn number (e.g., 10 × 20 and 20 × 10) are due to the relations of the radius of each one, in accordance to [39][40][41]43].…”

Section: Experimental Analysis and System Resultsmentioning

confidence: 99%

“…These applications may be seen in several researches on electromagnetics fields [33][34][35][36][37][38], considering analysis of their characteristics as self and mutual inductances [39][40][41] or parasitic capacitances [42]. With these feasible applications, an analysis about transformers built with planar coils is presented in this paper, considering the case of square wave excitation, comparing this analysis with the related problems of [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Planar Transformers Excited by Square Waves

Costa¹

2010

PIER

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Abstract-This paper presents an analysis of found results in experiments developed with transformers built with planar coils, when they are excited by square waves, in comparison with transformers built with planar coils inner ring coils. The transformer was built joining two planar coils one over the other. In this kind of transformer, similar responses as analysis of transformers built with planar coil inner ring coil are found, as well the results of resonance. Because the low self-inductances and parasitic capacitances obtained in these configurations, although the coils resistance is low, which generates low exponential drops on responses. The resonance is found in higher frequencies, but satisfying conditions of sum of responses in resonance.

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Section: Experimental Analysis and System Resultsmentioning

confidence: 99%

“…The values in Table 2 referring to transformers in opposite turn number (e.g., 10 × 20 and 20 × 10) are due to the relations of the radius of each one, in accordance to [39][40][41]43].…”

Section: Experimental Analysis and System Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Planar Transformers Excited by Square Waves

Costa¹

2010

PIER

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“…Equation (5) shows that the resistance of the target R t is in the inverse proportional relationship to the target thickness h, with no relation to the lift-off distance x and the eddy current density I den . Based on the analytical solution of the disk coils, 23 the equivalent inductance of ring loops (h/r 1 ≪ 1 was assumed) was simplified as follows:…”

Section: A Theoretical Supportmentioning

confidence: 99%

Non-contact online thickness measurement system for metal films based on eddy current sensing with distance tracking technique

Wang

Feng

2016

Review of Scientific Instruments

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This paper proposes an online, non-contact metal film thickness measurement system based on eddy current sensing. The slope of the lift-off curve (LOC) is used for characterizing target thickness. Theoretical derivation was conducted to prove that the slope is independent of the lift-off variation. In practice, the measurement has some immunity to the lift-off, but not perfect. The slope of LOC is still affected at some extent by the lift-off. Hence, a height tracking system was also proposed, which could stabilize the distance between the sensor and the target and significantly reduce the lift-off effect. The height tracking system contains a specially designed probe, which could vibrate rapidly to obtain a fast measurement speed, and its height can be adjusted up and down continuously to stabilize the lift-off. The sensor coil in the thickness measurement system was also used as the height sensor in the height tracking system. Several experiments were conducted to test the system performances under static and dynamic conditions. This measurement system demonstrated significant advantages, such as simple and clear conversion between the slope of LOC and target thickness, high resolution and stability, and minimized effect of lift-off variation. Published by AIP Publishing. [http://dx

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“…The differential coefficient is taken with respect to that coordinate. As is evident in [29][30][31][32][33][34][35][36][37][38][39][40], the magnetic force may be calculated by simple differentiation in cases where a general formula for the mutual inductance is available. This formula exists in our case, and the magnetic force between the coils can be calculated with the following expression:…”

Section: Basic Expressionsmentioning

confidence: 99%

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

Babić

Akyel²,

Sirois³

et al. 2011

PIER B

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Abstract-Systems that employ stimulating and implantable monitoring devices utilize inductive links, such as external and implanted coils. The calculation of the mutual inductance and the magnetic force between these coils is important for optimizing power transfer. This paper deals with an efficient and new approach for determining the mutual inductance and the magnetic force between two coaxial coils in air. The setup is comprised of a thick circular coil of the rectangular cross section and a thin wall solenoid. We use an integro-differential approach to calculate these electrical parameters. The mutual inductance and the magnetic force are obtained using the complete elliptic integrals of the first and second kind, Heuman's Lambda function and one term that has to be solved numerically. All possible regular and singular cases were solved. The results of the presented work have been verified with the filament method and previously published data.

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Improvement in calculation of the self- and mutual inductance of thin-wall solenoids and disk coils

Cited by 132 publications

References 3 publications

Planar Transformers Excited by Square Waves

Planar Transformers Excited by Square Waves

Non-contact online thickness measurement system for metal films based on eddy current sensing with distance tracking technique

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

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