PRE-CONCEPTUAL DESIGN OF THE Z-15 ACCELERATOR - Rev 2 - MagLIF
!
!    Following Mazarakis, Spielman, Kim, and colleagues, the design assumes LTD-module drivers.
!
!    The design presented below is a single-line model of the machine.
!
!
!
TIME-STEP          0.1E-9
RESOLUTION-TIME    0.1E-9
END-TIME           1.0E-6
NUMBER-PRINTS      5
EXECUTE-CYCLES     ALL
ECHO               YES
GRIDS              NO
MAX-POINTS         5001
DETAIL-PRINTS      FULL
!
BRANCH
!
!
!
!   *********   10 LTD modules   ***************************************************
!
!    We begin with a model of 10 LTD modules, connected in parallel.
!
!    We assume each LTD module consists of 16 LTD cavities, connected in series.
!
!    We assume each cavity includes 22 LTD bricks, in parallel.
!
!    Each brick is assumed to have a 40-nF capacitance and a 160-nH inductance.
!    We assume a capacitor ESR of 0.13 Ω.
!    Ctot = 40nF*22*10/16 = 0.55 µF
!    Vtot = 85 kV * 2 * 16 = 2.72 MV
!    Ltot = 160 nH * 16 / 22 * 10 = 11.64 nH
!    Rtot = (.13 Ω * 2 + 0.04) * 16 / 22 * 10 = 21.81 mΩ
!
!    We use for this calculation the RLC-circuit model of an LTD system that was
!    developed by Mazarakis, Spielman, and colleagues.
!
!    We assume a single core loss resistance of 115 Ω per cavity.
!    Thus, the core loss for the entire machine is:
!    Rloss = 115 * 16 / 10 = 184 Ω
!
!    Note: the matched load per module is R = (1.7 / 22) * 16 = 1.24 Ω
!
!    We assume an LTD-system capacitance of 0.55 uF:
!
RCG  1.00E12    0.55E-6
!
!    We assume each LTD cavity is charged to +/-85 kV:
!
INITIAL VC1    2.72E6
!
!    We assume the series resistance of the LTD system is 21.81 milliohms,
!    and the series inductance is 11.64 nH:
!
RLS   21.81E-3    11.64E-9
!
!    We assume the shunt resistance due to the cores is 184 ohms:
!
RCG    184     1.0E-12
!
!
!
!   ********   10 coaxial water-transmission-lines   ********
!
!    We assume that each of the 10 modules has a 54-ns coaxial water TL 
!
!    We also assume that at this point, the impedance of a single TL is 1.25 Ω.
!    The impedance at the system output is 0.125 ohms.
!    We will need to add the TL losses in the water at some point.
!
TRL LIN  54.0E-9  0.125
!
UFO VIN
$VTRIN
UFO IIN
$ITRIN
UFO PIN
$PTRIN
UFO EIN
$ETRIN
!
!   ********   10 coaxial to tri-plate water-transmission-lines   ********
!
!    We assume that each of the 10 modules has a 54-ns convolution in the water TL 
!
!    We also assume that at this point, the impedance of a single TL is 1.25 Ω. The impedance
!    at the system output is 0.125 ohms.
!
TRL LIN  54.0E-9  0.125
!
!   *************************  Water flares  ******************************
!
TRL LIN 5.96E-9  0.125  0.240
!
UFO VOUT
$VWF
UFO IOUT
$IWF
UFO POUT
$PWF
UFO EOUT
$EWF
!
!
!
!   ***********************  Insulator stack  *****************************
! The water/vacuum interface Router=1.5 m, Rinner=1.4 m, height=11 cm (1 cm grading rings) 
! Two stack in parallel.
!
RLS  1.0E-12    0.75E-9
!
UFO VOUT
$VSTACK
UFO IOUT
$ISTACK
UFO POUT
$PSTACK
UFO EOUT
$ESTACK
!
!   **************************  Vacuum flares  *****************************
!
RLS  1.0E-12    0.95E-9
!
UFO VOUT
$VVF
UFO IOUT
$IVF
UFO POUT
$PVF
UFO EOUT
$EVF
!
!   *****************************   MITLs   ********************************
!
RLS  1.0E-12    4.67E-9
!
UFO VOUT
$VMITLS
UFO IOUT
$IMITLS
UFO POUT
$PMITLS
UFO EOUT
$EMITLS
!
!   *****  Z-flow current loss immediately upstream of the convolute  ******
!
!   We assume the MITL system has a Z-flow impedance of 1.20 ohms for two levels:
!
RCG     0.0001      1.00E-12
VARIABLE R1      POS-MODEL 
!  TSW   CURSW   TOPEN  ZFLOW  GSWMIN  GSWMAX  CBFLAG
   2E-9   1E2    2E-9   1.20   0.0001   10000     0
!
UFO IR1
$IZFLOSS
UFO R1
$RLOSS
!
!   *****************************  Convolute  ******************************
!
RLS 0.0       0.650E-9
!
!   *******************  Inner-MITL, coax, and pinch at t = 0  ********************
!   THE INNER MITL INDUCTANCE Disk from PHC
!   Router = 7.1 cm, Rinner = 0.54 cm, gap = 0.4 cm
!
RLS 0.0       2.06E-9
! Extra inductance budget
RLS 0.0       1.26E-9
UFO IR2
$I_inner_mitl
RCG 1e12 0.0
UFO VR1
$V_inner_mitl
!
!   THE INITIAL MagLIF Load Inductance 0.85 cm height, 0.24 cm Be liner radius
!   0.3 cm AK gap
!
RLS 0.0  1.38E-9
!     
!
!   ***************  Electrode-wall resistance  ****************************
! This is from Bill Stygar’s run deck and is likely not needed for a 10 MA driver.
! Deleting this makes no difference to the run.
!
!RLS 0.0 0.0
!VAR  R2  R2WALL
!
!  tstart   cyl_length_inner   cyl_length_outer   cyl_r_inner  cyl_r_outer
!
!   1.0e-7       0.0175              0.0325           0.02       0.025
!
! disk_upper_r_inner  disk_upper_r_outer  disk_lower_r_inner  disk_lower_r_outer
!
!        0.025               0.065              0.02               0.065
!
!UFO R2
!$RWALL
!
!    *********   Time-dependent z-pinch model   ****************************
!
!   We choose a 0.24-cm initial radius, a 0.75-cm length,
!   a 76.8-mg mass, and a 10:1 convergence ratio.
! 
!          INITIAL R     LENGTH   TOTAL MASS    FINAL R
CYLFOIL      0.0024      0.0075     7.68e-5      0.00024
!
!
UFO FRAD
$RADIUS
!
UFO FVEL
$VELOCITY
!
UFO FKE
$E_KINETIC
!
UFO VIN
$V_IN_LOAD
!
UFO IIN
$I_LOAD
!
UFO EIN
$E_LOAD
!
UFO PIN
$P_LOAD
!
UFO L2
$L_LOAD
!
UFO R2
$R_LINER
!
UFO VR2
$V_LINER
!
UFO PR2
$P_LINER
!
!
!   ********   Tie it all back to ground   ********************************
!
!
RCG  1.0E-12  1.0E-12
!
!