# Modern computational technologies for justification the characteristics of nuclear power propulsion systems in design works of creation a new generation of thermionic space nuclear power unit

### Aerospace propulsion engineering

### Аuthors

,^{*},

Joint Stock Company "State Scientific Centre of the Russian Federation – Institute for Physics and Power Engineering named after A. I. Leypunsky", 1, sq. Bondarenko, Obninsk, 249033, Russia

*e-mail: ya-pavel-alekseev@ya.ru

### Abstract

The purpose of current research work is to examine the modern mathematical methods used in the calculation of new generation thermionic space nuclear power unit.The calculation of characteristics of space nuclear power unit is divided into a set of problems, three of which are examined in current research work. The problem of three-dimensional numerical calculation of the electrical and thermal characteristics of the electricity generating channel is solved with the help of modified software suit Comsol with numerical solver developed by the authors which makes it possible to simulate the thermionic problem in three-dimensional formulation using the experimental current-voltage characteristic of the thermionic converter. The problem of optimization of the reactor core structure is solved with the use of the simulation model to calculate the neutron-physical characteristics of the reactor and techniques of genetic algorithm to optimize the structure of the core. And the problem of optimization of the weight and size characteristics for the radiation shield is solved with the use of artificial bee colony algorithm for finding the optimal profile of the radiation shield.

Application of considered modern mathematical tools enables to solve the problem of calculating the characteristics of space nuclear power unit quickly and effectively.

Conducted research is the first step to the creation of the modern computational code for calculation of the characteristics of space nuclear power unit in solving large-scale space challenges of today.

### Keywords:

thermionic converter, electricity generating channel, three-dimensional numerical calculation, optimization of radiation shield, bee colony optimization, optimization of nuclear reactor, genetic algorithm### References

- Karasev P.A.
*Atomnaya strategiya ,*no. 30, 2007, pp. 16-17. - Andreyev P.V., Gulevich A.V., Zaritskiy G.A, Legostayev V.P., Nikonov A.M., Ovcharenko M.K., Pyshko A.P., Sinyavskiy V.V., Yarygin V.I.,
*Nuclear and Emerging Technologies for Space*, March 21-23, 2012, The Woodlands, Texas, # 3014 - Romanov A.V.
*Teoriya kompleksnoi optimizatsii proektirovaniya kosmicheskikh apparatov s yadernymi termoemissionnymi energeticheskimi ustanovkami.*(The theory of complex optimization of spacecraft with nuclear power plants thermoemission), Sankt-Peterburg, Professional, 2010, 472 p. - Lazarenko D. G.
*Izvestiya vuzov. Yadernaya energetika*, 2007, no. 3, pp. 89-100 - Polous M. A.
*Izvestiya vuzov. Yadernaya energetika ,*2010, no.1, pp.164-172 - Comsol Multiphysics. Available at: http://www.comsol.com (accessed 03.01.2012)
- Vinogradov E.G., Yarygin V.I.
*Metodika rascheta elektroteplofizicheskikh kharakteristik termoemissionnogo elektrogeneriruyushchego kanala*(Method of calculation elektroteplofizicheskih characteristics of the thermionic power generation channel), Obninsk, 2008, IATE, 40 p. - Poplavsky V.M.
*Spravochnik po svoystvam dlya perspektivnykh reaktornykh tekhnologiy*Properties Reference for advanced reactor technologies), Moscow, IzdAT, 2011, 392 p. (vol.I), 397 p. (vol.II). *Nauchnaja sessija MIFI-2007. Sbornik nauchnyh trudov. Intellektual'nye sistemy i tehnologii*(Scientific Session MIFI-2007. Collection of scientific papers. Intelligent Systems and Technologies), vol. 3, Moscow, MIFI, 2007, pp. 124-125.- Adler Yu.P. Markova E.V. Granovskii Yu. V.
*Planirovanie eksperimenta pri poiske optimal'nykh uslovii*(Design of experiments in search of optimum conditions), Moscow, Nauka, 1976, 278 p. - Gladkov L.A., Kureichik V.V., Kureichik V.M.
*Geneticheskie algoritmy*(Genetic algorithms), Moscow, Fizmatlit, 2010, 368 p. - Panchenko T.V.
*Geneticheskie algoritmy*(Genetic algorithms)*,*Astrakhan', Astrakhanskiy universitet, 2007, 87 p. - Pontryagin L.S., Boltyanskii I.G., Gamkrelidze R.V., Mishchenko E.F.
*Matematicheskaya teoriya optimal'nykh protsessov*(Mathematical theory of optimal processes)*,*Moscow, Nauka, 1976, 392 p. - Pyshko A.P., Plotnikov A.Yu.
*Atomnaya energiya*, vol. 97, no. 1, pp. 46-54. - Floater M. S. and Hormann K. Barycentric rational interpolation with no poles and high rates of approximation.
*Numerical Mathematics,*2007, no. 107, pp. 315-331. - Haykin S.
*Neural Networks: A Comprehensive Foundation (2nd Edition),*Prentice Hall, Upper Saddle River, New Jersey, 1998**,**842 p. - Borovikov V. P.
*Neironnye seti. Statistica Neural Networks: Metodologiya i tekhnologii sovremennogo analiza dannykh*(Neural networks. Statistica Neural Networks: Methodology and technologies of modern data analysis), Moscow, goryachaya liniya - telekom, 2008, 392 p. - Pham D.T., Ghanbarzadeh A., Koç E., Otri S., Rahim S., Zaidi M. The Bees Algorithm – A Novel Tool for Complex Optimisation Problems,
*Proceedings of IPROMS*, 2006, Conference, pp. 454-461.

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