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Beta - FusionWiki

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i.e., the ratio of the plasma pressure to the magnetic pressure. Here, ⟨ 𝑝 ⟩ is the mean plasma pressure, and 𝐵 the mean total field strength. It is customary to introduce also the poloidal beta 𝛽 𝑝 and the toroidal beta 𝛽 𝑡 , in which 𝐵 is replaced by the poloidal and toroidal magnetic field component, respectively. One has: 𝛽 is often expressed in terms of the normalized beta (or Troyon factor)[3], an operational parameter indicating how close the plasma is to reaching destabilising major MHD activity. Its definition is (for tokamaks): [4] where 𝐵 𝑇 is the toroidal magnetic field in T, 𝑎 is the minor radius in m, and 𝐼 𝑝 is the plasma current in MA. The upper limit of 𝛽 𝑁 has been determined numerically by Troyon to 0.028. Often 𝛽 is expressed in percent, in which case 𝛽 𝑁 = 2.8 . This limit results from many different numerical studies determined to find the overall 𝛽 limit out of many different MHD instabilities, such as external kink modes

Beta - FusionWiki Beta From FusionWiki Jump to navigation Jump to search Plasma performance is often expressed in terms of beta ( β ), defined as: [ 1 ] β = ⟨ p ⟩ B 2 / 2 μ 0 i.e., the ratio of the plasma pressure to the magnetic pressure. Here, ⟨ p ⟩ is the mean plasma pressure, and B the mean total field strength. It is customary to introduce also the poloidal beta β p and the toroidal beta β t , in which B is replaced by the poloidal and toroidal magnetic field component, respectively. One has: 1 β = 1 β p + 1 &#x

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