Integration of MHD load models with circuit representations the Z generator.

MHD models of imploding loads fielded on the Z accelerator are typically driven by reduced or simplified circuit representations of the generator. The performance of many of the imploding loads is critically dependent on the current and power delivered to them, so may be strongly influenced by the generators response to their implosion. Current losses diagnosed in the transmission lines approaching the load are further known to limit the energy delivery, while exhibiting some load dependence. Through comparing the convolute performance of a wide variety of short pulse Z loads we parameterize a convolute loss resistance applicable between different experiments. We incorporate this, and other current loss terms into a transmission line representation of the Z vacuum section. We then apply this model to study the current delivery to a wide variety of wire array and MagLif style liner loads.

[1]  R. W. Clark,et al.  Multi-color gated x-ray pinhole imaging of Z-pinch implosions on the Saturn and Z pulsed power generators , 2011, 2011 Abstracts IEEE International Conference on Plasma Science.

[2]  Kenneth William Struve,et al.  Displacement current phenomena in the magnetically insulated transmission lines of the refurbished Z accelerator , 2010 .

[3]  James E. Bailey,et al.  Integrated two-dimensional simulations of dynamic hohlraum driven inertial fusion capsule implosions , 2006 .

[4]  D. Sinars,et al.  10 7 -A load-current B-dot monitor: Simulations, design, and performance , 2010 .

[5]  K. R. LeChien,et al.  Large diameter copper wire array implosions for K-shell x-ray generation on the refurbished Z machine , 2009, 2009 IEEE International Conference on Plasma Science - Abstracts.

[6]  William A. Stygar,et al.  Three-dimensional effects in trailing mass in the wire-array Z pincha) , 2008 .

[7]  C. Jennings,et al.  Circuit Model for Driving Three-Dimensional Resistive MHD Wire Array $Z$ -Pinch Calculations , 2010, IEEE Transactions on Plasma Science.

[8]  C. Jennings,et al.  X-ray generation mechanisms in three-dimensional simulations of wire array Z-pinches , 2004 .

[9]  C. Mostrom,et al.  ZR-convolute analysis and modeling: Plasma evolution and dynamics leading to current losses , 2009, 2009 IEEE Pulsed Power Conference.

[10]  D. Bliss,et al.  An overview of pulse compression and power flow in the upgraded Z pulsed power driver , 2007, 2007 16th IEEE International Pulsed Power Conference.

[11]  Farhat Beg,et al.  One-, two-, and three-dimensional modeling of the different phases of wire array Z-pinch evolution , 2001 .

[12]  D. Johnson,et al.  Circuit modeling for ZR , 2003, Digest of Technical Papers. PPC-2003. 14th IEEE International Pulsed Power Conference (IEEE Cat. No.03CH37472).

[13]  G. R. Bennett,et al.  Simulations of the implosion and stagnation of compact wire arrays , 2010 .