Inductance calculation of twisted conductors by the broken line approximation

Tominaka, Toshiharu

doi:10.1016/j.cryogenics.2008.10.007

Cited by 8 publications

(8 citation statements)

References 6 publications

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“…Equations 12, (13), (18), and (19) are substituted in Equation 20to solve the definite integral. Then, the analytical expression for the mutual inductance of finite-length coaxial helical filaments can be obtained as follows:…”

Section: Mutual Inductance Of Finite-length Coaxial Helical Filamentsmentioning

confidence: 99%

“…The pitch-length (h) dependence of the mutual inductance is presented in Figure 10. When the two coil radii are the same, Equation (38) of [18] cannot be used because the coils are approximated as two overlapping solenoids when using this equation, which leads to calculation program error. It can be seen from Figure 10 that the results of Equation (21) of this paper and FEM are basically the same, and the Equation 24of [20] is only applicable to the case where the pitch When the two coil radii are the same, Equation (38) of [18] cannot be used because the coils are approximated as two overlapping solenoids when using this equation, which leads to calculation program error.…”

Section: Parametersmentioning

confidence: 99%

“…When the two coil radii are the same, Equation (38) of [18] cannot be used because the coils are approximated as two overlapping solenoids when using this equation, which leads to calculation program error. It can be seen from Figure 10 that the results of Equation (21) of this paper and FEM are basically the same, and the Equation 24of [20] is only applicable to the case where the pitch When the two coil radii are the same, Equation (38) of [18] cannot be used because the coils are approximated as two overlapping solenoids when using this equation, which leads to calculation program error. It can be seen from Figure 10 that the results of Equation (21) of this paper and FEM are basically the same, and the Equation (24) of [20] is only applicable to the case where the pitch length (h) is large.…”

Section: Parametersmentioning

confidence: 99%

“…Geometric parameters of the coils in Figure 2 (4th comparison). When the two coil radii are the same, Equation (38) of [18] cannot be used because the coils are approximated as two overlapping solenoids when using this equation, which leads to calculation program error. It can be seen from Figure 10 that the results of Equation (21) of this paper and FEM are basically the same, and the Equation (24) of [20] is only applicable to the case where the pitch length (h) is large.…”

Section: Parametersmentioning

confidence: 99%

“…Currently, several inductance calculations are related to circular coils with zero pitch length [13][14][15], whereas research on helical coils is relatively less. Research on helical conductors with pitch length focus mainly on infinite-length coaxial helical coils [16][17][18]. However, in many practical applications, such as the helical coils in the above-mentioned transformer, the end effect of the coils cannot be neglected in the inductance calculation, and therefore need to be considered as coaxial helical tape coils of finite length.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

et al. 2019

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Mutual inductance between finite-length coaxial helical filaments and tape coils are presented analytically. In this paper, a mathematical model for finite-length coaxial helical filaments is established, and subsequently, the mutual inductance of the filaments is derived in a series form, containing a one-dimensional integral. The mutual inductance expression of the filaments is then generalized for a tape conductor. When the tape conductor of each coil is closely wound, then the inverse Mellin transform is further utilized for transforming the generalized integral in the mutual inductance expression into a series involving hypergeometric functions, for increasing the calculation speed. Finally, the obtained expressions are compared numerically with the existing analytical solutions and finite-element simulation in order to verify the correctness and general applicability of the results. In this paper, as all the mutual-inductance analytical expressions are concise with fast convergence, it is easy to obtain the numerical results in software, such as Mathematica. The expressions presented in this paper are applicable to any corresponding geometric parameter, and are thereby more advantageous compared to the existing analytical methods. In addition, evaluation by these expressions is considerably more efficient, as compared to finite element simulation.

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Section: Mutual Inductance Of Finite-length Coaxial Helical Filamentsmentioning

confidence: 99%

Section: Parametersmentioning

confidence: 99%

Section: Parametersmentioning

confidence: 99%

Section: Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

et al. 2019

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Current distribution monitoring enables quench and damage detection in superconducting fusion magnets

Teyber

Weiss

Marchevsky

et al. 2022

Sci Rep

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Fusion magnets made from high temperature superconducting ReBCO CORC® cables are typically protected with quench detection systems that use voltage or temperature measurements to trigger current extraction processes. Although small coils with low inductances have been demonstrated, magnet protection remains a challenge and magnets are typically operated with little knowledge of the intrinsic performance parameters. We propose a protection framework based on current distribution monitoring in fusion cables with limited inter-cable current sharing. By employing inverse Biot-Savart techniques to distributed Hall probe arrays around CORC® Cable-In-Conduit-Conductor (CICC) terminations, individual cable currents are recreated and used to extract the parameters of a predictive model. These parameters are shown to be of value for detecting conductor damage and defining safe magnet operating limits. The trained model is then used to predict cable current distributions in real-time, and departures between predictions and inverse Biot-Savart recreated current distributions are used to generate quench triggers. The methodology shows promise for quality control, operational planning and real-time quench detection in bundled CORC® cables for compact fusion reactors.

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Design and modelling tools for DC HTS cables for the future railway network in France

Hajiri

Berger

Lévêque

et al. 2022

Supercond. Sci. Technol.

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The use of High Temperature Superconducting (HTS) cables in power systems increases transmission capacity whereas reducing the volume of the installation. In addition, when transmission currents exceed a few kA, HTS DC cables significantly reduce power losses, right-of-ways and total system mass. This summary describes the various studies to be carried out in order to correctly dimension DC HTS cables for the new railway network envisaged by the French company SNCF, which has to take into account the ultra-urban needs. The process used to design DC cables for different operating current values between 5 kA and 20 kA at 1 750 V using commercial (RE)BaCuO tapes is presented. In this design stage, the dependence of the critical current density Jc(B, θ, T) of the superconducting tapes, the thermal properties of the materials used, and the different cooling modes as a function of the cable length are taken into account. Finally, we discuss a cryogenic solution to protect the cable in case of short-circuit or overload.

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Inductance calculation of twisted conductors by the broken line approximation

Cited by 8 publications

References 6 publications

Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

Current distribution monitoring enables quench and damage detection in superconducting fusion magnets

Design and modelling tools for DC HTS cables for the future railway network in France

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