Considerations on Stellarator's Optimization from the Perspective of the Energy Confinement Time Scaling Laws
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- @Article{murari:2022:AS,
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author = "Andrea Murari and Emmanuele Peluso and
Luca Spolladore and Jesus Vega and Michela Gelfusa",
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title = "Considerations on {Stellarator's} Optimization from
the Perspective of the Energy Confinement Time Scaling
Laws",
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journal = "Applied Sciences",
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year = "2022",
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volume = "12",
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number = "6",
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pages = "Article No. 2862",
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keywords = "genetic algorithms, genetic programming",
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ISSN = "2076-3417",
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URL = "https://www.mdpi.com/2076-3417/12/6/2862",
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DOI = "doi:10.3390/app12062862",
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abstract = "The Stellarator is a magnetic configuration considered
a realistic candidate for a future thermonuclear fusion
commercial reactor. The most widely accepted scaling
law of the energy confinement time for the Stellarator
is the ISS04, which employs a renormalisation factor,
fren, specific to each device and each level of
optimisation for individual machines. The fren
coefficient is believed to account for higher order
effects not ascribable to variations in the 0D
quantities, the only ones included in the database used
to derive ISS04, the International Stellarator
Confinement database. This hypothesis is put to the
test with symbolic regression, which allows relaxing
the assumption that the scaling laws must be in power
monomial form. Specific and more general scaling laws
for the different magnetic configurations have been
identified and perform better than ISS04, even without
relying on any renormalisation factor. The proposed new
scalings typically present a coefficient of
determination R2 around 0.9, which indicates that they
basically exploit all the information included in the
database. More importantly, the different optimisation
levels are correctly reproduced and can be traced back
to variations in the 0D quantities. These results
indicate that fren is not indispensable to interpret
the data because the different levels of optimisation
leave clear signatures in the 0D quantities. Moreover,
the main mechanism dominating transport, in reasonably
optimised configurations, is expected to be turbulence,
confirmed by a comparative analysis of the Tokamak in L
mode, which shows very similar values of the energy
confinement time. Not resorting to any renormalisation
factor, the new scaling laws can also be extrapolated
to the parameter regions of the most important reactor
designs available.",
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notes = "also known as \cite{app12062862}",
- }
Genetic Programming entries for
Andrea Murari
Emmanuele Peluso
Luca Spolladore
Jesus Vega
Michela Gelfusa
Citations