Tokamak 平衡和电磁测量

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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 - PowerPoint PPT Presentation

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  • Tokamak From the experimentalists view

  • (kT)3/2/nFor HT-7: ne~21013/cm3, Te=Ti~1keV, Bt~2 T, L~0.3m.e=56GHz, D=15.2MHz, p~40GHze~119m, I~22.8mm, D~33 mei~0.1ms, ii~1.8ms, eie~95ms, R~3.4sRunaway: mevcr2/2e~5 10-16n/E||, ne~1019/m3, E~1V/m, Ee,cr > 5keV. N~ 21016, Ntotal>21019

  • Equilibrium of tokamakp=j B, . B=0 B=0 j, . j=0=0IpR/2(ln8R/-2)+ 0Ip/4 [ (ln8R/- 1)+(h1/ +h2 )]cosh1=a2(+1/2), h2=-(ln8R/a+ -1/2) =p+li/2-1, p=/(Ba2/20), li=int(B2 d d )/[ a2 B2 (a)]p=1+2Btv/B2(-Bt)

  • Equilibrium of tokamak(O)(O)(I)(O)B=-0Ip/4R(ln8R/a+li/2-1+p-1/2) limitq factor, qa=5ap2Bt/RIp

  • General field characterizationB = 0I/2 al[1+ ncos(n )+ nsin(n )]B = 0I/2 al[ n cos(n )+ nsin(n )]

  • Plasma current and loop voltage=nAA0dI/dtl=-d/dt(Lp,pIp)-pIp+d/dt(pl-loop)Poh=int(E.JdV)=VpIp-d/dt(LIp2/2)J=E=1.9104Te3/2/Zaln() /.m

  • HT-735.45cm,36.85cm

  • ---

  • Current postionB = 0Ip/2 al(1+ X/alcos ) (,Ip)1= X/al, 1= Y/al, ,Ip, :J1c=int(jxdA)/ al=IpX /al, J1s=int(jydA)/ al=IpY /al,

  • Surface Position [(/4) - (3/4 )] + [(- /4)- (-3/4)] =4cos( /4)[2R0/0X- 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

  • g p li

  • Mirrov Oscillationb = 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)]1/2f (qamn)1/2/aBt

  • Example 1

  • Example 2

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