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Theoretical z -pinch scaling relations for thermonuclear-fusion experiments
W A Stygar1, M E Cuneo, R A Vesey
1Sandia National Laboratories, Albuquerque, New Mexico 87185-1196, USA.
Summary
New scaling relations for wire-array z-pinch experiments aid in designing accelerators for fusion energy research. Decreasing implosion time enhances pinch performance and system efficiency, crucial for inertial confinement fusion applications.
Area of Science:
- Plasma Physics
- Inertial Confinement Fusion (ICF)
Background:
- Wire-array z-pinches are critical for fusion energy research, requiring optimized accelerator designs.
- Understanding scaling relations is essential for predicting and improving pinch performance.
Purpose of the Study:
- To develop scaling relations for wire-array z-pinch experiments.
- To apply these relations to the design of z-pinch accelerators for high-yield fusion research.
Main Methods:
- Developed theoretical scaling relations for imploding-sheath thickness based on ablation and Rayleigh-Taylor instabilities.
- Derived scaling for peak radiated x-ray power and system efficiency.
- Validated relations against experimental data within specific parameter ranges.
Main Results:
- Sheath thickness is primarily determined by wire ablation for large mass-to-length ratios.
- Peak radiated x-ray power scales with current, implosion time, array dimensions, and current pulse shape.
- X-ray power efficiency is inversely proportional to implosion time; accelerator energy scales with the square of implosion time.
Conclusions:
- Decreasing implosion time significantly improves ablation-dominated pinch performance and coupled system efficiency.
- For ICF applications, accelerator power and energy requirements decrease with shorter implosion times, while efficiencies increase.
- Anode-cathode gap size impacts accelerator power and energy requirements.
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