DE-R Four Module + PRS Load Simulation
!
! Rick Spielman 2018-06-18
!
Time-step 2.0e-12
Resolution-time 100e-12
End-time 1.0e-6
Number-prints 5
Execute-cycles all
Grids no
Echo-setup no
Max-points 5001
!
!Start circuit definition
!
! DE-R_rev5final.txt is based on DE-R_rev5b.txt but the water line details are
! changed to reflect the final value of the conceptual design. Also adding a length scaling factor
! to correct for the overestimate of the water switch resistance of 40%. Decrease length by .4.
!
! DE-R_rev5b.txt is based on DE-R_rev5a.txt. In this run deck we are splitting the two halves
! of the water lines AND Marxes in half so that we can drive each side of the vacuum disk feed 
! separately. This allows more accurate treatment of the individual MITLs and the convolute.
!  MITL and Z_flow models will be incorporated into the deck. We will divide C by 2X and multiply L
! and R by 2X. Remember that the IOUT/IIN calls are backward in the second branch.
! In this run each Marx has a capacitance of 70.5 nF and the L1 with ~ 42.85 nF
!
! DE-R Rev5a.txt is based on DE-R Rev4a.txt. We are including a PRS load using the general 
!  parameters of the Z51 deck used in Z15_rev2_Z51.txt. The exact inductance numbers have
!  been tweaked a bit to be self consistent. We output V, I before the MITL TR and V,I after the MITL.
!
! DE-R Rev4a is based on DE-R Rev4. I am removing all of the extra branches to speed iteration. 
! This forces me to divide all marx and water line impedances and inductances by four
! and to increase the Marx C by 4.
!
! DE-R Rev 3a is based on DE-R Rev 2a. We are lowering the WL impedance to 0.4 Ω (1.6/4) and
! explicitly putting in the water flare impedance of the stack. In addition, the insulator, vacuum flare, 
! and MITL impedances will be rechecked. Goal - explicit identification of all impedance and 
! inductance components.
!
! DE-R Rev 2a uses the DE-R Rev 2 deck with 4 parallel modules that are driving an insulator stack,
! MITL, and e-beam load. We will use 4, separate modules joined to the insulator stack with
! End Branches. This way we can keep the Rev1b structure exactly. We also allow jitter in the 
! Future. Note: the module end branches are in reverse order away from the branch.
!
! DE-R Rev 1 uses the DE Rev 4 as the baseline. We will be changing all the line impedances to
! 2 Ω and will be changing the line lengths. The goal here is to have a driver that delivers a clean 100-ns FWHM pulse to a constant impedance load.
!
! Rev 4 changes the CPL water switch gap to the actual gap 3.75”
! also changes the output line to constant 1.3 Ω impedance with a matched load.
!
! Rev 3 Marx switch losses and more accurate water line parameters
! Change marx to 30 stages of 300 nF/stage
!
! Gas switch dimensions from drawings
!
! The sub Marx capacitance is 300 nF/34= 8.82 nF. We operate at a charge voltage of 100 kV.
! We have a 8.82-nF sub Marx with 34 cap pairs in series and 17 switches. Vch = 3.4 MV
! We have 8 sub Marxes in parallel.
! The total Marx capacitance is 70.59 nF.
! Include 130 mΩ individual cap ESR or 65 mΩ per pair of caps in parallel
!   X 34 stages per sub-Marx = 2.21 Ω per sub-Marx
! Assume that there will be 167 nH every two stages. L = 167 nH * 17 = 2.839 µH.
! The total Marx inductance (caps and switches) would be 2.839 µH/8 = 354.9 nH
!
! We start with a total Marx capacitance of 70.59 nF (exceeds the CPL capacitance). This implies
!   that there will a ringing gain on the CPL. This allows a faster rise time than otherwise to 
!   get to the desired CPL voltage.
!
! CPL capacitance used is 42.85 nF. This is distributed in a TL that is ~60 ns long and
!   has a constant impedance of 1.4 Ω. (C = t/Z = 60/1.4 nF = 42.85 nF)
!
! Energy per Marx at 100 kV = 407.5 kJ, 2 marxes = 816 kJ, 4 marxes = 1.63 MJ
!
! The matched impedance of a sub-Marx = sqrt(L/C) = 17.94 Ω.
!   The total Marx impedance is 17.94 Ω/8 = 2.24 Ω
!   Note CPL impedance is 1.4 Ω.
!   The ESR amounts to ~ 12.3% of the matched impedance.
!
! The switch model will have 17x the length of one switch per sub Marx and then will
! have 8 arc channels (sub Marxes) in parallel. Then there will be two Marxes in parallel.
! 
! We will assume a TOTAL Marx-L1 inductance of 354.5 + 150  = 504 nH.
! This inductance is needed to get the required rise time of the voltage on the CPL.
! The total inductance for Branch A (and also Branch B) is 252.25 nH.
!
! 
! Main Branch - Branch #1
!
BRANCH
!
! B LEVEL
!
! Marx capacitance and charge voltage
! CX2 for two modules (70.59 nF each) = 141 nF
! +/-100 kV charge
!
RCGround 1e+12 141e-9
Initial VC1 3.4e6

UFO VC1
$V_marx_B
UFO EC1
$E_marx_B

!
! Cap inductance, case & parasitic inductance, and ESR
! ESR = 0.276 for the total Marx (2.21 Ω sub Marx/8)
! Divide R and L by 2 for 2 modules (driving one MITL)
!

RLSeries 0.138 177.25e-9

!
! Switch resistance - Martin Model and switch inductance - the total gap for a single
!   switch from DWGs is 0.53” (1.346 cm) gap and 93 psig air X17 = 22.882 cm
!
! Initial switch resistance was chosen to be higher than that printed in the first
! few time steps so as to appear monotonically decreasing in R plots
! A careful few runs showed that 10 GΩ looked best. In any event by 1 ns all of the 
! resistance values are the same.
! 17 switches for 8 sub-Marxes, 2 channels for 2 modules
!  Divide parallel switch inductance for one Marx (~50 nH) by 2 for 2 modules
!

RLSeries 10e9 25e-9
Var R2 Switch
!dielectric switchtime gap        pressure     nswitch  nchannels
AIR           0.0               0.2288  7.3                8             2

UFO IR2
$I_marx_B
UFO R2
$R_switch_B
UFO ER2
$E_switch_B
UFO QR2
$Q_switch_B

!
! Output Marx header inductance
! Divide 100 nH by 2 for 2 modules in parallel
!

RLSeries 0.00 50e-9

!
! Line 1 (CPL), 60 ns, 1.4 Ω, 60 ns/1.4= 42.85 nF per L1
! Divide Z by 2 for one half of DE-R driving one insulator stack
! Include the radius transition of the L1 
!

TRLine EXP 2.29e-09  2  .7
TRLine LIN 56.0e-09   .7 .7
TRLine EXP 2.29e-09 .7  2

UFO VOUT
$V_CPL_out_B
UFO IOUT
$I_CPL_out_B
UFO EOUT
$E_CPL_out_B
UFO POUT
$P_CPL_out_B

!
! Line 1 water switches - gap is scaled by 0.6
! 5 output switches, 4” gap x .6 = 2.4"  (DE today) + switch inductance
!  Increase number of channels x2 for the two modules
!

RLSeries 10e9 5e-9
Var R2 Switch
!dielectric switchtime gap         pressure   nswitch  nchannels
H2O          310e-09     0.06096   1.0              5             2

UFO IR2
$I_CPL_sw_B
UFO R2
$R_CPL_sw_B
UFO ER2
$E_CPL_sw_B
UFO QR2
$Q_CPL_sw_B

!
! Line 2, 72 ns, 1.4 Ω constant impedance
! Divide by 2 for 2 modules
!

TRLine EXP 2.29e-09 2 .7

UFO VIN
$V_PFL_in_B
UFO IIN
$I_PFL_in_B

TRLine LIN 68e-09      .7 .7
TRLine EXP 2.29e-09 .7 2

UFO VOUT
$V_PFL_out_B
UFO IOUT
$I_PFL_out_B
UFO POUT
$P_PFL_out_B
UFO EOUT
$E_PFL_out_B

!
! Line 2 water switches - gap is scaled by 0.6
! 7 output switches, 0.5" x .6 = 0.3” gap + switch inductance
! Increase number of channels to two for two modules
!

RLSeries 10e9 5e-9
Var R2 Switch
!dielectric switchtime gap      pressure     nswitch  nchannels
H2O         385e-09    0.00762   1.0                    7               2

UFO IR2
$I_PFL_sw_B
UFO R2
$R_PFL_sw_B
UFO ER2
$E_PFL_sw_B

!
! Output Line (OL),  72 ns, 1.4 Ω constant impedance
!  Divide Z by 2 for two modules
!

TRLine EXP 2.29e-09 2 .7

UFO VIN
$V_OL_in_B
UFO IIN
$I_OL_in_B

TRLine LIN 70e-09 .7 .7

UFO VOUT
$V_OL_out_B
UFO IOUT
$I_OL_out_B
UFO POUT
$P_OL_out_B
UFO EOUT
$E_OL_out_B

!
!  ********* Water flare transition external to the insulator stack ****************
!  Router = 1.165 m , stack outer = 1.1 m, constant 13.35-cm gap, l = 1.96 ns
!  —— Divide by 2X for half QE Zouter = 0.76 Ω, Zinner = 0.81 Ω
!

TRLine LIN 1.96e-9 0.76 0.81

!
!   ***********************  Insulator stack  *****************************
! The water/vacuum interface Router=1.1 m, Rinner=1.0 m, height=13.35 cm (0.64-cm grading rings) 
!  Plastic height is 11.43 cm. L per side = 2.1788 nH
!

RLSeries  0.0    2.1788E-9

!
UFO VOUT
$V_stack_B
UFO IOUT
$I_stack_B
UFO POUT
$P_stack_B
UFO EOUT
$E_stack_B

!
!   **************************  First vacuum piece inside insulator  *****************************
!  Constant 13.35 cm height, Router = 1 m, Rinner = 0.975 m
! Inductance = 0.676 nH
!

RLSeries  0.0    0.676E-9

!
!
!   **************************  Vacuum flares  *****************************
! The flare includes the flare itself and the rectangular piece that extends down to the cathode.
! L1=0.639 nH, L2=0.924 nH, L1+L2=1.563 nH
! This section would be better modeled as MITLs as the lower portion of the feed could be 
!  emissive.
!

RLSeries  0.0    1.563E-9

!
! Extra stray L in the flare region 0.5 nH, just a WAG
!

RLSeries  0.0    0.5E-9

!
UFO VOUT
$V_vf_B
UFO IOUT
$I_vf_B
UFO POUT
$P_vf_B
UFO EOUT
$E_vf_B

!
!   *****************************   Constant Z MITLs   ********************************
! Z= 3.7 Ω, length = 2.5 ns (Router = 89.65 cm gap=5.53 cm, Rinner=16.2 cm gap=1 cm)
! L=Zt - 9.25 nH
! I will divide the spacing between Router and Rinner into 10 segments of equal distance
!  and use the mid point of each segment as the circumference for the MITL model.
! 7.345 cm long segments,
! MITL midpoints (cm) - 85.98, 78.63, 71.29, 63.94, 56.60, 49.25, 41.91, 34.56, 27.22, 19.87
! circumferences (m) - 5.40, 4.94, 4.48, 4.017, 3.556, 3.094, 2.633, 2.171, 1.71, 1.248
! vac gap for 3.7 Ω (m) - 5.306e-2, 4.852e-2, 4.4e-2, 3.946e-2, 3.492e-2, 3.039e-2, 2.586e-2, 2.133e-2, 1.68e-2, 1.226e-2
!
!MITL      Circum            Gap            Length-s       Impedance        Resolution       E-Turnon
MITL         5.40            5.306e-02     0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl1_out_B
UFO IOUT
$I_mitl1_out_B
UFO CLOS
$I_mitl1_loss_B
UFO ALOS
$J_mitl1_loss_B

!MZFlow 3.7
!UFO ICA
!$Icath_mitl1_B
!UFO IPL
!$Iflow_mitl1_B
!UFO ZOT
!$Zflow_mitl1_B
               
MITL         4.94          4.852e-02        0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl2_out_B
UFO IOUT
$I_mitl2_out_B
UFO CLOS
$I_mitl2_loss_B
UFO ALOS
$J_mitl2_loss_B

MITL         4.48          4.4e-02        0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl3_out_B
UFO IOUT
$I_mitl3_out_B
UFO CLOS
$I_mitl3_loss_B
UFO ALOS
$J_mitl3_loss_B

MITL         4.017        3.946e-02       0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl4_out_B
UFO IOUT
$I_mitl4_out_B
UFO CLOS
$I_mitl4_loss_B
UFO ALOS
$J_mitl4_loss_B

MITL         3.556         3.492e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl5_out_B
UFO IOUT
$I_mitl5_out_B
UFO CLOS
$I_mitl5_loss_B
UFO ALOS
$J_mitl5_loss_B

MITL         3.094         3.039e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl6_out_B
UFO IOUT
$I_mitl6_out_B
UFO CLOS
$I_mitl6_loss_B
UFO ALOS
$J_mitl6_loss_B

MITL         2.633         2.586e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl7_out_B
UFO IOUT
$I_mitl7_out_B
UFO CLOS
$I_mitl7_loss_B
UFO ALOS
$J_mitl7_loss_B

MITL        2.171         2.133e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl8_out_B
UFO IOUT
$I_mitl8_out_B
UFO CLOS
$I_mitl8_loss_B
UFO ALOS
$J_mitl8_loss_B

MITL         1.71         1.678e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl9_out_B
UFO IOUT
$I_mitl9_out_B
UFO CLOS
$I_mitl9_loss_B
UFO ALOS
$J_mitl9_loss_B

MITL         1.248         1.226e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl10_out_B
UFO IOUT
$I_mitl10_out_B
UFO CLOS
$I_mitl10_los_B
UFO ALOS
$J_mitl10_los_B     
UFO POUT
$P_mitl10_out_B
UFO EOUT
$E_mitl10_out_B

!
! Inductance of the disk - plate transition at 16.2 cm to 10.4 cm
!    Gap = 1 cm at this location, top and bottom 0.886 nH
!    Will need MITL calls here at some point.
!

RLSeries 0.0       0.886E-9

!
! Stray L in the PHC region 0.5 nH - just a WAG
! Should be Router = 10 cm, Rinner 6.5 cm, 1-cm gap, L = .862 nH
! This could be a MITL piece but I am treating this in the Zflow losses
!

RLSeries  1.0E-12    0.5E-9

UFO VOUT
$V_disk_out_B
UFO IOUT
$I_MITL_B

!
!   *****************************  Convolute  ******************************
! Convolute diameter 6 inches = 15.24 cm diameter, 7.62 cm radius
!  Assume a 1-cm inner gap/2-cm outer gap for all convoute spacings, Post diameter - 1.59 cm
!  Convolute height = 1 cm + 1.25 cm + 1 cm + 1.25 cm + 1 cm + 1.25 cm + 1 cm = 7.75 cm
!  Divide by 12 posts = 1.37 nH (1.5 cm gap coax estimate)
! The Z51 inductance for B level was 1.89 nH. A 3-D E&M code would give the correct information
!
! In series only with B level

RLSeries 0.0       1.37E-9

!
! Attach A level
! Branch #2
!

ENDbranch

!   *****  Z-flow current loss immediately downstream of the convolute  ******
!
!   We assume the MITL system has a Z-flow impedance of 1.20 ohms for two levels:
!  The 1.2 Ω here seems to be arbitrary. For shot Z51, the value was adusted to match data.
!  The losses could be half that of Z (single PHC vs. double PHC), in which case the
!   Zflow would be 0.6 Ω
!

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
$I_zfloss
UFO R1
$R_zfloss

!
!   *******************  Inner-MITL, coax, and pinch at t = 0  ********************
!   THE INNER MITL INDUCTANCE Disk from PHC
!   Router = 7.62 - .625 -1 = 6 cm, Rinner = 2.5 cm, gap = 0.5 cm
! We are treating this as a lumped L but it could be a MITL.
!

RLSeries   0.0       1.04E-9

!
! Extra stray L in the inner MITL region - just a WAG
!

RLSeries  0.0      0.25E-9

UFO VOUT
$V_in_coax

!
!   The lower coax INDUCTANCE Router = 2.5 cm, Rinner = 2 cm, height = 0.5 + 1.25 cm
!      this is to the base of the load
!

RLSeries 0.0       0.781E-9

UFO VOUT
$V_out_coax

!
!   Initial PRS Load Inductance 2 cm height, 2 cm wire array radius, 0.5 cm AK gap
!

RLSeries 0.0  0.89E-9

!     
!    *********   Time-dependent z-pinch model   ****************************
!
!   We choose a 2-cm initial radius, a 2-cm length, 1-mg mass, and a 20:1 convergence ratio.
! 
!                INITIAL R     LENGTH   TOTAL MASS    FINAL R
CYLFOIL      0.02             0.02             1.0e-6            0.001
!
!

UFO FRAD
$Rad_PRS
UFO FVEL
$Vel_PRS
UFO FKE
$E_kinetic_PRS
UFO VIN
$V_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

!
! End Main Branch (Branch #1)
!
! Level 2 Branches
!
! Branch #2
! Note: all elements are in reverse order inside to outside
!

Branch

!
! L through the PHC region to the post center 0.5 nH -  just a WAG now
! Should be Router = 10 cm, Rinner 6.5 cm, 1-cm gap, L = .862 nH
! This could be a MITL piece but I am treating this in the Zflow losses
!

RLSeries  0.0    0.5E-9

UFO IIN
$I_mitl_A

!
! Inductance of the disk - plate transition at 16.2 cm to 10.4 cm
!    Gap = 1 cm at this location, top and bottom 0.886 nH
! Need to replace this with several MITL elements.
!

RLSeries 0.0       0.886E-9


!   *****************************   Constant Z MITLs   ********************************
! Z= 3.7 Ω, length = 2.5 ns (Router = 89.65 cm gap=5.53 cm, Rinner=16.2 cm gap=1 cm)
! L=Zt - 9.25 nH
! I will divide the spacing between Router and Rinner into 10 segments of equal distance
!  and use the mid point of each segment as the circumference for the MITL model.
! 7.345 cm long segments,
! MITL midpoints (cm) - 85.98, 78.63, 71.29, 63.94, 56.60, 49.25, 41.91, 34.56, 27.22, 19.87
! circumferences (m) - 5.40, 4.94, 4.48, 4.017, 3.556, 3.094, 2.633, 2.171, 1.71, 1.248
! vac gap for 3.7 Ω (m) - 5.306e-2, 4.852e-2, 4.4e-2, 3.946e-2, 3.492e-2, 3.039e-2, 2.586e-2, 2.133e-2, 1.68e-2, 1.226e-2
!
! Remember in the branch outputs and inputs are in reverse order
!
!MITL      Circum            Gap            Length-s       Impedance        Resolution       E-Turnon
MITL         1.248         1.226e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl10_out_A
UFO IOUT
$I_mitl10_out_A
UFO CLOS
$I_mitl10_los_A
UFO ALOS
$J_mitl10_los_A     
UFO POUT
$P_mitl10_out_A
UFO EOUT
$E_mitl10_out_A

MITL         1.71         1.678e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl9_out_A
UFO IOUT
$I_mitl9_out_A
UFO CLOS
$I_mitl9_loss_A
UFO ALOS
$J_mitl9_loss_A

MITL        2.171         2.133e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl8_out_A
UFO IOUT
$I_mitl8_out_A
UFO CLOS
$I_mitl8_loss_A
UFO ALOS
$J_mitl8_loss_A

MITL         2.633         2.586e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl7_out_A
UFO IOUT
$I_mitl7_out_A
UFO CLOS
$I_mitl7_loss_A
UFO ALOS
$J_mitl7_loss_A

MITL         3.094         3.039e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl6_out_A
UFO IOUT
$I_mitl6_out_A
UFO CLOS
$I_mitl6_loss_A
UFO ALOS
$J_mitl6_loss_A

MITL         3.556         3.492e-02        0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl5_out_A
UFO IOUT
$I_mitl5_out_A
UFO CLOS
$I_mitl5_loss_A
UFO ALOS
$J_mitl5_loss_A

MITL         4.017        3.946e-02       0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl4_out_A
UFO IOUT
$I_mitl4_out_A
UFO CLOS
$I_mitl4_loss_A
UFO ALOS
$J_mitl4_loss_A

MITL         4.48          4.4e-02        0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl3_out_A
UFO IOUT
$I_mitl3_out_A
UFO CLOS
$I_mitl3_loss_A
UFO ALOS
$J_mitl3_loss_A

MITL         4.94          4.852e-02        0.245E-09          3.7                      0.05e-9               

UFO VOUT
$V_mitl2_out_A
UFO IOUT
$I_mitl2_out_A
UFO CLOS
$I_mitl2_loss_A
UFO ALOS
$J_mitl2_loss_A

MITL         5.40            5.306e-02     0.245E-09          3.7                      0.05e-9

UFO VOUT
$V_mitl1_out_A
UFO IOUT
$I_mitl1_out_A
UFO CLOS
$I_mitl1_loss_A
UFO ALOS
$J_mitl1_loss_A
               
!
! Stray L in the flare region 0.5 nH - divide by two, just a WAG
!

RLSeries  1.0E-12    0.5E-9

UFO VIN
$V_vf_A
UFO IIN
$I_vf_A
UFO PIN
$P_vf_A
UFO EIN
$E_vf_A

!
!
!   **************************  Vacuum flares  *****************************
! The flare includes the flare itself and the piece that extends down to the cathode.
! L1=0.639 nH, L2=0.924 nH, L1+L2=1.563 nH
! Two vacuum flares in parallel - divide by 2
!

RLSeries  0.0    1.563E-9

!
!   **************************  First vacuum piece inside insulator  *****************************
!  Constant 13.35 cm height, Router = 1 m, Rinner = 0.975 m
! Inductance = 0.676 nH - divide by 2
!

RLSeries  0.0    0.676E-9

!
!   ***********************  Insulator stack  *****************************
! The water/vacuum interface Router=1.1 m, Rinner=1.0 m, height=13.35 cm (0.64-cm grading rings) 
!  Plastic height is 11.43 cm. L per side = 2.1788 nH
! Two stacks in parallel - divide L by 2
!

RLS  1.0E-12    2.1788E-9

UFO VIN
$V_stack_A
UFO IR2
$I_stack_A
UFO PIN
$P_stack_A
UFO EIN
$E_stack_A

!
!  ********* Water flare transition external to the insulator stack ****************
!  Router = 1.165 m , stack outer = 1.1 m, constant 13.35-cm gap, l = 1.96 ns
!  Zouter = 0.76 Ω, Zinner = 0.81 Ω 
!

TRLine LIN 1.96e-9 0.81 0.76

!
! Output Line (OL),  72 ns, 1.4 Ω constant impedance
!  Divide by 2 for 2 modules
!

TRLine LIN 70e-09 .7 .7

UFO VIN
$V_OL_out_A
UFO IIN
$I_OL_out_A
UFO PIN
$P_OL_out_A
UFO EIN
$E_OL_out_A

TRLine EXP 2.29e-09 .7 2

UFO VOUT
$V_OL_in_A
UFO IOUT
$I_OL_in_A

!
! Line 2 water switches - gap is scaled by 0.6
! 7 output switches, 0.5" x .6 = 0.3” gap + switch inductance
! Increase number of channels to two for two modules
!

RLSeries 10e9 5e-9
Var R2 Switch
!dielectric switchtime gap      pressure     nswitch  nchannels
H2O         385e-09    0.00762   1.0                    7               2

UFO IR2
$I_PFL_sw_A
UFO R2
$R_PFL_sw_A
UFO ER2
$E_PFL_sw_A
UFO QR2
$Q_PFL_sw_A

!
! Line 2, 72 ns, 1.4 Ω constant impedance
! Divide by 2 for 2 modules
!

TRLine EXP 2.29e-09 2 .7

UFO VIN
$V_PFL_out_A
UFO IIN
$I_PFL_out_A
UFO PIN
$P_PFL_out_A
UFO EIN
$E_PFL_out_A

TRLine LIN 68e-09 .7 .7
TRLine EXP 2.29e-09 .7 2

UFO VOUT
$V_PFL_in_A
UFO IOUT
$I_PFL_in_A

!
! CPL water switches
! 5 output switches, 4” gap + switch inductance
!  Increase number of channels for the two modules
!

RLSeries 10e9 5e-9
Var R2 Switch
!dielectric switchtime gap         pressure   nswitch  nchannels
H2O          310e-09     0.06096   1.0              5             2

UFO IR2
$I_CPL_sw_A
UFO R2
$R_CPL_sw_A
UFO ER2
$E_CPL_sw_A

!
! Line 1 (CPL), 60 ns, 1.4 Ω, 60 ns/1.4= 42.85 nF per L1
! Divide Z by 2 for one half of DE-R driving one insulator stack
! Include the radius transition of the L1 
!

TRLine EXP 2.29e-09    2  .7

UFO VIN
$V_CPL_out_A
UFO IIN
$I_CPL_out_A
UFO EIN
$E_CPL_out_A
UFO PIN
$P_CPL_out_A

TRLine LIN   56.0e-09   .7  .7
TRLine EXP 2.29e-09    .7   2

!
! Output Marx header inductance
! 100 nH per Marx divided by 2 for 2 modules
!

RLSeries 0.00 50e-9

!
! Switch resistance - Martin Model and switch inductance - the total gap for a single
!   switch from DWGs is 0.53” (1.346 cm) gap and 93 psig air X17 = 22.882 cm
!
! Initial switch resistance was chosen to be higher than that printed in the first
! few time steps so as to appear monotonically decreasing in R plots
! A careful few runs showed that 10 GΩ looked best. In any event by 1 ns all of the 
! resistance values are the same.
! 17 switches for 8 sub-Marxes, 2 channels for 2 modules
!  Divide parallel switch inductance for one Marx (~50 nH) by 2 for 2 modules
!

RLSeries 10e9 25e-9
Var R2 Switch
!dielectric switchtime gap        pressure     nswitch  nchannels
AIR           0.0               0.2288  7.3                8             2

UFO IR2
$I_marx_B
UFO R2
$R_switch_B
UFO ER2
$E_switch_B
UFO QR2
$Q_switch_B

!
! Cap inductance, case & parasitic inductance, and ESR
! ESR = 0.276 for the total Marx (2.21 Ω sub Marx/8)
! Divide R and L by 2 for 2 modules (driving one MITL)
!

RLSeries 0.138 177.45e-9

! Marx capacitance and charge voltage
! CX2 for two modules (70.5 nF each) = 141 nF
! +/-100 kV charge
!
RCGround 1e+12 141e-9
Initial VC1 3.4e6

UFO VC1
$V_marx_A
UFO EC1
$E_marx_A

!
! End branch #2
