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Global View of the Lee Model code
S H Saw
INTI International University, Nilai, Malaysia
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
3 kJ Plasma Focus Designed for International Collaboration
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Design of the UNU/ICTP PFF- 3kJ Plasma Focus System??
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
UNU/ICTP PFF- narrow trolley to fit ICTP lift???
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
The Code• From beginning of that program it was realized that the
laboratory work should be complemented by computer simulation.
• A 2-phase model was developed in 1984• We are continually developing the model to its present form• It now includes thermodynamics data so the code can be
operated in H2, D2, D-T, N2, O2, He, Ne, Ar, Kr,Xe. • We have used it to simulate a wide range of plasma focus
devices from the sub-kJ PF400 (Chile) , the small 3kJ UNU/ICTP PFF (Network countries), the NX2 3kJ Hi Rep focus (Singapore), medium size tens of kJ DPF78 & Poseidon (Germany) to the MJ PF1000, the largest in the world.
• An Iranian Group has modified the model, calling it the Lee model, to simulate Filippov type plasma focus .
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Philosophy of our Modelling
• Experimental based
• Utility prioritised
• To cover the whole process- from lift-off, to axial, to all the radial sub-phases; and recently to post-focussed phase which is important for advanced materials deposition and damage simulation.
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Priority of Basis
• Energy consistent for the total process and each part of the process
• Mass consistent• Charge consistent • Connected to the reality of experiments
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Priority of Results
• Applicable to all PF machines, existing and hypothetical
• Current Waveform accuracy• Dynamics in agreement with experiments• Consistency of Energy distribution • Realistic Yields of neutrons, SXR, other radiations;
Ions and Plasma Stream; in conformity with experiments
• Widest Scaling of the yields• Insightful definition of scaling properties• Design of new devices; e.g. Hi V & C-S • Design of new experiments
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Philosophy, modelling, results and applications of the Lee Model code
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Numerical Experiments
• Range of activities using the code is so wide
• Not theoretical
• Not simulation
• The only correct description is:
Numerical Experiments
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
PF1000
Lo nH Co uF b cm a cm z0 ro mW
33.5 1332 16 11.6 60 6.1
fm fc fmr fcr
0.13 0.7 0.35 0.65
Vo Po Mw A At/Molecular
27 3.5 4 1 2
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Firing the PF1000
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Fitting PF1000 27kV-adjusting model parameters until computed current waveform matches
measured (after getting L0 correct)
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
PF1000 fitted results
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
PF1000: Yn Focus & Pinch Properties as functions of Pressure
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Plasma Focus- Numerical Experiments leading Technology
• Numerical Experiments- For any problem, plan matrix, perform experiments, get results- sometimes surprising, leading to new insights
• In this way, the Numerical Experiments have pointed the way for technology to follow
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
NE showing the way for experiments and technology
• PF1000 (largest PF in world): 1997 was planning to reduce static inductance so as to increase current and neutron yield Yn. They published their L0 as 20 nH
• Using their published current waveform and parameters we showed their L0 =33 nH
that their L0 was already at optimum
that lowering their L0 would be a waste of effort and resources
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
New General Insight- For every PF there is a
minimum L0 below which yield no longer increase
• It was thought that the lower L0 is the better would be the current and the yield
• Our NE showed that on the contrary every PF system has a minimum L0; no point trying to go below that- very expensive and will not increase yield
• This was a surprising result- and changes one frontier area of plasma focus technology
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Determination of Pinch Current
- by fitting a measured current trace with reliable neutron yield to the computed current trace.• by fitting a measured current trace with reliable neutron yield to the computed current trace.
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Results from Numerical Experiments with PF1000 - For decreasing L0- from 100 nH to 5 nH
• As L0 was reduced from 100 to 35 nH - As expected– Ipeak increased from 1.66 to 3.5 MA– Ipinch also increased, from 0.96 to 1.05 MA
• Further reduction from 35 to 5 nH– Ipeak continue to increase from 3.5 to 4.4 MA
– Ipinch decreasing slightly to - Unexpected 1.03 MA at 20 nH, 1.0 MA at10 nH, and 0.97 MA at 5 nH.
• Yn also had a maximum value of 3.2x1011
at 35 nH.
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Pinch Current Limitation Effect - (1/3)
L0 decreases higher Ipeak bigger a longer zp bigger Lp
L0 decreases shorter rise time shorter zo smaller La
L0 decreases, Ipinch/Ipeak decreases
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Pinch Current Limitation Effect - (2/3)
• L0 decreases, L-C interaction time of capacitor decreases
• L0 decreases, duration of current drop increases due to bigger a
Capacitor bank is more and more coupled to the inductive energy transfer
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Pinch Current Limitation Effect - (3/3)
• A combination of two complex effects
– Interplay of various inductances
– Increasing coupling of C0 to the inductive energetic processes as L0 is reduced
Leads to this Limitation Effect
Two basic circuit rules: lead to such complex interplay of factors which was not foreseen; revealed only by extensive numerical experiments
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Neutron yield scaling laws and neutron saturation problem
• One of most exciting properties of plasma focus is
• Early experiments show: Yn~E02
• Prospect was raised in those early research years that, breakeven could be attained at several tens of MJ .
• However quickly shown that as E0 approaches 1 MJ, a neutron saturation effect was observed; Yn does not increase as much as expected, as E0 was progressively raised towards 1 MJ.
• Question: Is there a fundamental reason for Yn
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Global Scaling LawScaling deterioration observed in numerical experiments (small black crosses)
compared to measurements on various machines (larger coloured crosses) Neutron ‘saturation’ is more aptly portrayed as a scaling deterioration-
Conclusion of IPFS-INTI UC research
LogYn vs LogEo
y = 0.5x0.8
y = 0.001x2
0.0001
0.0010
0.0100
0.1000
1.0000
10.0000
100.0000
1000.0000
10000.0000
0.1 1.0 10.0 100.0 1000.0 10000.0 100000.0
Log Eo, Eo in kJ
Lo
gY
n, Y
n in
10^
10
High E0 (Low Eo)Mid Eo compile expts08 compiled dataPower ( High E0)Power ( (Low Eo))
• S Lee & S H Saw, J Fusion Energy, 27 292-295 (2008)
• S Lee, Plasma Phys. Control. Fusion, 50 (2008) 105005
• S H Saw & S Lee.. Nuclear & Renewable Energy Sources Ankara, Turkey, 28 & 29 Sepr 2009.
• S Lee Appl Phys Lett 95, 151503 (2009)
Cause: Due to constant dynamic resistance relative to decreasing generator impedance
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Scaling for large Plasma Focus
Targets:
1. IFMIF (International fusion materials irradiation facility)-level fusion wall materials testing
(a major test facility for the international programme to build a fusion reactor)
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Fusion Wall materials testing at the mid-level of IFMIF: 1015 D-T neutrons per shot, 1 Hz, 1 year for 0.1-1 dpa-
Gribkov
IPFS numerical Experiments:
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Fast capacitor bank 10x PF1000-Fully modelled- 1.5x1015 D-T neutrons per shot
• Operating Parameters: 35kV, 14 Torr D-T• Bank Parameters: L0=33.5nH, C0=13320uF, r0=0.19m
• E0=8.2 MJ• Tube Parameters: b=35.1 cm, a=25.3 cm z0=220cm
• Ipeak=7.3 MA, Ipinch=3.0 MA
• Model parameters 0.13, 0.65, 0.35, 0.65
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Ongoing IPFS numerical experiments of Multi-MJ Plasma Focus
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
50 kV modelled- 1.2x1015 D-T neutrons per shot
• Operating Parameters: 50kV, 40 Torr D-T• Bank Parameters: L0=33.5nH, C0=2000uF, r0=0.45m • E0=2.5 MJ• Tube Parameters: b=20.9 cm, a=15 cm z0=70cm• Ipeak=6.7 MA, Ipinch=2.8 MA• Model parameters 0.14, 0.7, 0.35, 0.7
Improved performance going from 35 kV to 50 kV
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
IFMIF-scale device
• Numerical Experiments suggests the possibility of scaling the PF up to IFMIF mid-scale with a PF1000-like device at 50kV and 2.5 MJ at pinch current of 2.8MA
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Scaling further- possibilities• 1. Increase E0, however note: scaling
deteriorated already below Yn~E0
• 2. Increase voltage, at 50 kV beam energy ~150kV already past fusion x-section peak; further increase in voltage, x-section decreases, so gain is marginal
• Need technological advancement to increase current per unit E0 and per unit V0.
• We next extrapolate from point of view of Ipinch
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Scaling Plasma Focus from Ipinch using present predominantly beam-target in Lee
Model code
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
SXR Scaling Laws
• First systematic studies in the world done in neon as a collaborative effort of IPFS, INTI IU CPR and NIE Plasma Radiation Lab
• Scaling laws extended to Argon by AECS
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Special characteristics of SXR-for applications
• Not penetrating; for example neon SXR only penetrates microns of most surfaces
• Energy carried by the radiation is delivered at surface• Suitable for lithography and micro-machining• At low intensity - applications for surface sterilisation or
treatment of food• at high levels of energy intensity, Surface hammering
effect;, production of ultra-strong shock waves to punch through backing material
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Compression- and Yield- Enhancement methods
• Suitable design optimize compression
• Role of high voltage
• Role of special circuits e.g current-steps
• Role of radiative cooling and collapse
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Latest development
Modelling
Ion beam fluence
Post focus axial shock waves
Plasma streams
Anode sputtered material
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Ion beam post-pinch plasma stream calculationsSome preliminary Results- INTI IU-IAEA
collaboration
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
6. Developing the most powerful training and research system for the dawning of the
Fusion Age.
Integrate:
6a the proven most effective hardware system of the UNU/ICTP PFF with
6b the proven most effective numerical experiment system Lee Model code
with emphasis on dynamics, radiation and materials applications.
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Into the fusion era: Plasma focus for training/Research
(a) Experimental facility: TRPF1 kJ focus: 10 kV 20 uF 80 nH
Measurements: • current, voltage sufficient to deduce dynamics and
estimate temperatures• Fibre-optics, pin diodes; magnetic probes directly
measure speeds, ns imaging• SXR spectrometry, neutron counters & TOF, ion
collectors for radiation & particle measurementsSimple materials processing experiments
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
Into the fusion era: Plasma focus for research training
(b) Numerical Experiments codeTo complement TRPF• Computes dynamics and energy distributions• Plasma pinch evolution, size and life time• Post focus Ion Beam, plasma stream and anode sputtered materialConnection with reality: through fitting computed current to measured current trace
Behaviour of plasma focus and yields as functions of pressure, gases, storage energies, circuit currents and pinch currents.
Carry out above experiments with any plasma focus.
Optimization of planned plasma focus
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
(a) The proven most effective 3 kJ PF system
The trolley based UNU/ICTP PFF 3 kJ plasma focus training and research system will be updated as a 1 kJ system
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
(b) The proven most effective and comprehensive Model code
• Firmly grounded in Physics• Connected to reality• From birth to death of the PF• Useful and comprehensive outputs• Diagnostic reference-many properties, design, scaling
& scaling laws, insights & innovations
Seminar on Plasma Focus Experiments 2012,(SPFE2012), 12 th July 2012 S H Saw
(b) Philosophy, modelling, results and applications of the Lee Model code