• 제목/요약/키워드: power law formulation

검색결과 82건 처리시간 0.016초

AC transport current loss analysis for a face-to-face stack of superconducting tapes

  • Yoo, Jaeun;Youm, Dojun;Oh, SangSoo
    • 한국초전도ㆍ저온공학회논문지
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    • 제15권2호
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    • pp.34-38
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    • 2013
  • AC Losses for face to face stacks of four identical coated conductors (CCs) were numerically calculated using the H-formulation combined with the E-J power law and the Kim model. The motive sample was the face to face stack of four 2 mm-wide CC tapes with 2 ${\mu}m$ thick superconducting layer of which the critical current density, $J_c$, was $2.16{\times}10^6A/cm^2$ on IBAD-MgO template, which was suggested for the mitigation of ac loss as a round shaped wire by Korea Electrotechnology Research Institute. For the calculation the cross section of the stack was simply modeled as vertically aligned 4 rectangles of superconducting (SC) layers with $E=E_o(J(x,y,t)/J_c(B))^n$ in x-y plane where $E_o$ was $10^{-6}$ V/cm, $J_c$(B) was the field dependence of current density and n was 21. The field dependence of the critical current of the sample measured in four-probe method was employed for $J_c$(B) in the equation. The model was implemented in the finite element method program by commercial software. The ac loss properties for the stacks were compared with those of single 4 cm-wide SC layers with the same critical current density or the same critical current. The constraint for the simulation was imposed in two different ways that the total current of the stack obtained by integrating J(x,y,t) over the cross sections was the same as that of the applied transport current: one is that one fourth of the external current was enforced to flow through each SC. In this case, the ac loss values for the stacks were lower than those of single wide SC layer. This mitigation of the loss is attributed to the reduction of the normal component of the magnetic field near the SC layers due to the strong expulsion of the magnetic field by the enforced transport current. On the contrary, for the other case of no such enforcement, the ac loss values were greater than those of single 4cm-wide SC layer and. In this case, the phase difference of the current flowing through the inner and the outer SC layers of the stack was observed as the transport current was increased, which was a cause of the abrupt increase of ac loss for higher transport current.

랜덤 PP의 반응압출 및 PP/Pulp 복합체 특성에 대한 스티렌과 무수말레인산 함량의 영향 (Effect of Styrene and Maleic Anhydride Content on Properties of PP/Pulp Composites and Reactive Extrusion of Random PP)

  • 이종원;김지현;김연철
    • 공업화학
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    • 제25권3호
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    • pp.318-323
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    • 2014
  • 랜덤 폴리프로필렌(random polypropylene, rPP)의 무수말레인산(maleic anhydride, MAH) 반응압출에 대한 MAH 함량 및 스티렌/MAH 몰비의 영향을 고찰하기 위해 이축압출기(twin screw extruder)를 이용하여 MAH가 그라프트된 rPP(MAH-g-rPP)를 제조하였다. MAH의 함량은 0.5, 1.0, 3.0, 5.0 phr이었고, 스티렌/MAH 몰비는 0, 1, 2로 하였으며, 개시제로는 dicumyl peroxide (DCP)가 사용되었다. MAH의 그라프트 정도는 FT-IR을 이용하여 $1700cm^{-1}$ 근처에서 나타나는 카르보닐기(C = O) 신축진동 피크의 존재 여부를 통해 확인하였으며, $3000cm^{-1}$ 근처의 C-H 신축진동을 기준으로 하여 정량한 결과 그라프트 반응이 MAH 함량이 3.0 phr까지 증가하는 경향을 보여주었고, 스티렌 몰비는 1.0일 때 최적을 나타내었다. MAH-g-rPP와 MAH-g-rPP가 5.0 phr 포함된 PP/MAH-g-rPP/pulp 복합체의 열적특성, 결정화 특성 등을 시차주사열용량분석기(DSC), 열중량분석기(TGA), X-선 회절분석(XRD), 편광현미경(POM) 등을 이용하여 관찰하였다. 비등온 결정화온도는 rPP-g-MAH가 첨가되었을 때 감소하는 경향을 나타내었고, PP/MAH-g-rPP/pulp 복합체의 인장특성과 인장시험 후 파단면의 SEM을 측정한 결과, MAH 함량 1.0 wt%, 스티렌/MAH 몰비 1.0일 때 상용화제로의 역할이 가장 우수한 것으로 나타났다. 복합체의 가공성 비교를 위해 복소 점도와 전단박하(shear thinning) 정도를 동적유변측정기를 이용하여 측정하였다. 상용화제를 가지는 복합체의 경우 낮은 멱수 법칙 지수(n)를 보여주었다.