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Tokamak 平衡和电磁测量

Tokamak 平衡和电磁测量. From the experimentalist’s view. 特征参数. (kT) 3/2 /n For HT-7: n e ~210 13 /cm 3 , Te=Ti~1keV, Bt~2 T, L~0.3m.  e =56GHz,  D =15.2MHz,  p ~40GHz  e ~119m,  I ~22.8mm,  D ~33 m  ei ~0.1ms,  ii ~1.8ms,  ei e ~95ms,  R ~3.4s

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Tokamak 平衡和电磁测量

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  1. Tokamak 平衡和电磁测量 From the experimentalist’s view

  2. 特征参数 • (kT)3/2/n • For HT-7: ne~21013/cm3, Te=Ti~1keV, Bt~2 T, L~0.3m. • e=56GHz, D=15.2MHz, p~40GHz • e~119m, I~22.8mm, D~33 m • ei~0.1ms, ii~1.8ms, eie~95ms, R~3.4s • Runaway: mevcr2/2e~5 10-16n/E||, ne~1019/m3, E~1V/m, Ee,cr > 5keV. N~ 21016, Ntotal>21019

  3. Equilibrium of tokamak • p=j B,  . B=0 •   B=0j,  . j=0 • =0IpR/2(ln8R/-2)+ 0Ip/4 [ (ln8R/- 1)+(h1/  +h2 )]cos • h1=a2(+1/2), h2=-(ln8R/a+ -1/2) •  =p+li/2-1, p=<p>/(Ba2/20), • li=int(B2 d d )/[ a2 B2 (a)] • p=1+2Btv/B2(<Btv>-Bt)

  4. Equilibrium of tokamak • 电流环膨胀力(O) • 压力扩张力(O) • 纵场的张力(I) • 外部磁场压力(O) • 需要垂直场平衡上述力 • B=-0Ip/4R(ln8R/a+li/2-1+p-1/2) •  limit • q factor, qa=5ap2Bt/RIp

  5. General field characterization • B = 0I/2 al[1+  ncos(n )+ nsin(n )] • B  = 0I/2 al[  n cos(n )+ nsin(n )]

  6. Plasma current and loop voltage • =nAA0dI/dt • l=-d/dt(Lp,pIp)-pIp+d/dt(pl-loop) • Poh=int(E.JdV)=VpIp-d/dt(LIp2/2) • J=E • =1.9104Te3/2/Zaln() /.m

  7. HT-7逆磁的测量方法 • 大半径分别为35.45cm,36.85cm。 • 可能的主要杂散场：纵场，涡流电流，极向场，等离子体电流。 • 每个逆磁线圈感应到的信号为真实信号与杂散场和噪音信号的总和。

  8. 无等离子体放电实验（二）单放垂直场---研究垂直场的影响无等离子体放电实验（二）单放垂直场---研究垂直场的影响

  9. 位移测量原理

  10. Current postion • B = 0Ip/2 al(1+ X/alcos ) (直柱,不考虑Ip分布) • 1= X/al, 1= Y/al, • 直柱,考虑Ip分布, 测量电流重心: • J1c=int(jxdA)/ al=IpX /al, J1s=int(jydA)/ al=IpY /al,

  11. Surface Position • [(/4) - (3/4 )] + [(- /4)- (-3/4)] =4cos( /4)[2R0/0X- 0 ln 0 /a0 +(+1/2)(1-a02/ 02) 0]0Ip/4 • [(/4)- (- /4)]+[(3/4)- (-3/4)] =sin (/4)2R0/ 0 Y 0Ip/4

  12. 迭代算法解三元方程组测量g p li

  13. Mirrov Oscillation • b = bmn(rmn/r)m+1cos(m*+n-mnt) * =-a/R(I+li/2+1)sin() • Rmn/a=[(q-q0)/(qa-q0)]1/2~ [(m/n-1)/(qa-1)]1/2 • f  (qamn)1/2/aBt

  14. Example 1

  15. Example 2

  16. Example 3 • M=2 can be determined. • Mode locking cause increase of loop voltage and impurity influx, then disruption.

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