Mechanical analysis and fabrication of the R&amp;D forced-flow helical coil (TOKI-PF)

Kitamura, K.; Tsuruga, Shigenori; Mizumaki, S.; Nakamoto, K.; Yamamoto, K.; Shinohara, Hirofumi; Yamamoto, Junya; Takahata, K.; Mito, T.; Yamada, S.; Nishimura, A.; Motojima, O.

doi:10.1016/0920-3796(93)90039-k

Cited by 4 publications

(3 citation statements)

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“…In this case, (2) is reduced to (3) Therefore, the current ratio of is (4) This equation shows that the source of sharing is the dispersion of the self inductance. When the mutual inductance is much smaller than the self inductance , the current sharing is small even though the values of the self inductance are dispersed.…”

Section: Basic Equationsmentioning

confidence: 94%

“…Next, we apply the result to a ring-shaped coil of radius . Since the pitch of winding of elementary filaments is small in general, the self inductance and mutual inductance of the filament with radius are represented as For example, we employ the Nb-Ti filament with a radius m which is used for the helical coil of LHD [4]. When we put the radius of the coil m, the coupling parameter of the filaments is evaluated as follows:…”

Section: Multiple Triple Strandsmentioning

confidence: 99%

“…In the field of the nuclear fusion, the superconducting technology is used in the coils of the Large Helical Device [4] and ITER [5]. One of the important problems in making the cable from the superconducting wire is the current sharing phenomenon [6]- [8].…”

Section: Introductionmentioning

confidence: 99%

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Mathematical approach to current sharing problem of superconducting triple strands

Tsutsui

Nomura

Shimada

et al. 2002

IEEE Trans. Appl. Supercond.

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Current sharing between insulated strands in a superconducting cable is one of the important problems for its utilization. From the view points of the inverse problem, the sensitivity of current sharing between the insulated strands is determined by the condition number of the inductance matrix. For triple strands with self similar structure, we derive the analytic form of the inductance matrix which only includes two parameters; the self inductance of a unit wire and the ratio of mutual to self inductance for unit wires. Since the matrix elements also have self similar structure, we can analytically obtain the eigenvalues, eigenvectors and condition number, which is the ratio of maximum and minimum eigenvalues. Next, we derive the formula to estimate the sensitivity of the current distribution against the displacement of inductance from the ideal case by use of the condition number. This formula shows that the sensitivity is inversely proportional to the difference of self and mutual inductances of unit wires. Moreover, we estimate the condition number of very thin wire to check our formula. Finally, we verify our analytic form by numerical calculations.

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Section: Basic Equationsmentioning

confidence: 94%

Section: Multiple Triple Strandsmentioning

confidence: 99%