円筒容器内フラックスコア・スフェロマックの平衡解とその特性

概要

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The magnetic configuration of flux-core spheromaks (FCS) in a finite length cylindricalvessel has been studied by theoretical analyses. The Grad-Shafranov equation for zero-beta Taylor states is analytically solved. For the boundary condition, the presence is assumed ofa certain amount of external fluxes that axially penetrate the vessel through center holes on theend plates of the vessel. The solution is an extension of Turner's solution where the holes areassumed to be infinitesimally small [Phys. Fluids, 27 (1984) 1677]. The solution has been usedto survey the safety-factor (q) profile and the magnetic hill/well profile of the FCS configurationanalyzed. A diagram is presented which shows a classification of FCS configuration in a fluxconservingvessel in terms of the appearace and location of the null (X) points on the separatrix. Unlike conventional spheromak configurations with a magnetic hill and a radially decreasing qprofile, FCS can be provided with a magnetic well or with a radially increasing q profile likeultra-low q toruses (ULQ) and tokamaks. Another diagram called T-P diagram is also presentedwhich can be used, like the F-θ diagram in the reversed field pinch (RFP), to experimentallymonitor the time history of the FCS magnetic configuration in transient phases of production andsustainment periods.
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