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T h e preliminary design o f a 3095-Mw(thermal), helium-cooled, graphite-moderated reactor employing graphite-U02 fuel elements has been investigated. At design conditions, 150OOF reactor outlet gas would be circulated t o eight steam generators to produce 1O5O0F, 1450-psi steam which would be converted to electrical power i n eight 157-Mw(electrica1) turbine-generators. The overall efficiency of t h i s nuclear power station i s 36.5%. The significant a c t i v i t i e s released from the unclad graphite-U02 fuel appear t o be less than 0.2% of those produced and would be equivalent to 0.002 curie/cm3 in the primary helium circuit. The maintenance problems associated with this contamination level are discussed. A cost analysis indicates that the capital cost o f this nuclear station per electrical k i l o w a t t would be around $220, and that the production cost o f electrical power would be 7.8 milIs/kwhr.
This document contains information of a preliminary nature and was prepared primarily for internal use at the Oak Ridge National Laboratory. It is subject to revision or correction and therefore does not represent a final report. UNCLASSIFIED 577 001 DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government.
Variational theory is used to derive a generalized Euler equation and a new energy functional which are convenient for analytical studies of ideal magnetohydrodynamic stability in tokamaks. This generalized Euler equation, which is an explicit function of the magnetic surface coordinate ψ only, represents an infinite set of equations coupled together by poloidal m mode coupling. In the infinite aspect ratio limit, the toroidal curvature and mode coupling terms disappear and an infinite set of uncoupled Euler equations for the diffuse linear pinch (Hain–Lüst equation) for each m value results. The continuous spectra are discussed for the circular toroidal case. In this case, the equations are further specialized to three modes (m, m−1, m+1) and in the marginal stability limit reduce to known results. Analytically eliminating the m−1 and m+1 modes for arbitrary current profiles provides results on limiting β poloidal for tokamaks.
A drift dispersion relation, as applied to a resistive incompressible plasma in cylindrical geometry, is derived. This dispersion relation incorporates both drift-tearing and drift-interchange modes and is valid throughout the collisional regime by including kinetic theory factors. The dispersion relation reduces to the drift-tearing dispersion relation in the zero pressure gradient limit, and to the classical resistive dispersion relation in the zero drift limit. The electron temperature-gradient instability is still present. Now, however, the introduction of the drift-interchange instability increases the growth rate further above the drift-tearing case.
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