10.14489/td.2026.06.pp.024-033

2026, 06 June

DOI: 10.14489/td.2026.06.pp.024-033

Kuvshinnikov V. S., Kovshov E. E., Sudarev A. V.
SIMULATION MODEL OF AN INDUSTRIAL IMPULSE RÖ-SOURCE
(pp. 24-33)

Abstract. The task of modeling portable pulse sources of X-ray radiation (Rö-sources) for the simulator of industrial radiography, developed on the basis of virtual reality technologies and used in the educational process of basic and additional professional education, is considered. To create digital twins of such pulse systems, their unique spectral output is modeled, which does not depend on the exposure settings and often differs from the spectral output of devices with constant voltage, where changing the voltage allows to influence the spectral output. A simplified mathematical model has been developed and verified using computational experiments, which uses a piecewise linear approximation of the voltage and current pulse shapes, allowing for an analytical solution for the integrated spectral intensity. As a result of parameterization for a typical impulse system and evaluation using the corresponding standard exposure nomograms, the simplified linearized model demonstrated a minimum symmetric mean absolute percentage error (SMAPE) of 6.77 %, compared to 6.42 % for more detailed cosine-square model, with the best values for models whose parameters are numerically optimized using the Broyden-Fletcher-Goldfarb-Shanno method being compared. The optical density values are maintained within the acceptable range specified by regulatory documents. The results show that the developed simplified model has an error that allows it to be integrated into an industrial radiography simulator to solve educational problems. The model can also be used in the training of artificial intelligence systems to solve problems caused by low representativeness and unbalanced datasets.

Keywords: industrial radiographic evaluation simulation, mathematical modeling, computer modeling, X-ray pulsed source, radiation non-destructive testing.

+ - About the Authors Click to collapse

V. S. Kuvshinnikov, E. E. Kovshov (Joint-Stock Company “Research and Development Institute of Construction Technology – Atomstroy”, Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.
A. V. Sudarev (Federal State Budgetary Educational Institution of Higher Education “D. I. Mendeleev Russian University of Chemical Technology”, Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

+ - References Click to collapse

1. Kosarina, E. I., Krupnina, O. A., & Stepanov, A. V. (2019). Radiation non-destructive testing methods: Course of lectures. SVEN. [in Russian language].
2. Krast elev, E. G., Lototsky, A. P., Maslennikov, S. P., & Shkolnikov, E. Ya. (2008). High-power electrical pulse systems: Part 1. Power diodes and diagnostic systems. MEFI. [in Russian language].
3. Komarsky, A. A., & Korzhenevsky, S. R. (2024). Study of the intensity and energy distribution of radiation from pulsed X-ray tubes of coaxial type with a peak voltage of up to 615 kV. Pribory i eksperimental'nye metody, (2), 110–118. [in Russian language]. https://doi.org/10.31857/S0032816224020155
4. Kuvshinnikov, V. S., Kovshov, E. E., Dmitriev, V. D., & Dmitriev, D. V. (2024). Digital educational technologies in radiation non-destructive testing. In Tsifrovye, komp'yuternye i informatsionnye tekhnologii v nauke i obrazovanii: Sbornik statei II Mezhregional'noi nauchno-prakticheskoi konferentsii s mezhdunarodnym uchastiem (pp. ?). Bryansk. [in Russian language].
5. Kozlov, E. A. (2019). Analytical calculation of the X-ray spectrum of a microfocus X-ray tube with a "heat pipe" anode. Vestnik Ryazanskogo gosudarstvennogo radiotekhnicheskogo universiteta, (69), 202–210. [in Russian language].
6. Kovshov, E. E., & Kuvshinnikov, V. S. (2024). Formation of an object control image on a flexible detector in an industrial radiography simulator environment. Kontrol'. Diagnostika, 27(3), 23–34. [in Russian language]. https://doi.org/10.14489/td.2024.03.pp.023-034
7. GOST 10994-74: Precision alloys. Grades. (1994). Goskomstat. [in Russian language].
8. Artemov, K. P., Elchaninov, A. A., Kutenkov, O. P., et al. (2004). Pulsed-periodic X-ray source. Pribory i eksperimental'nye metody, (5), 166–167. [in Russian language].
9. Vavilov, S. P., Koshkin, G. M., Udod, V. A., & Fofa¬nov, O. B. (2015). Analytical approximation of the spectrum of pulsed X-ray tubes. In Informatsionnye tekhnologii nerazrushayushchego kontrolya: Materialy Rossiiskoi shkoly-konferentsii s mezhdunarodnym uchastiem (pp. 17–21). Tomsk. [in Russian language].
10. Bayankin, S. N., Mozharova, I. E., Kuznetsov, V. L., et al. (2015). Application of pulsed frequency nanosecond X-ray devices for diagnostics. Vestnik rentgenologii i radiologii, (2), 42–46. [in Russian language].
11. GOST R 50.05.07-2018: Conformity assessment system in the field of atomic energy use. Conformity assessment in the form of control. Unified methods. Radiographic testing. (2018). Standartinform. [in Russian language].
12. GOST ISO 17636-1-2017: Non-destructive testing of welded joints. Radiographic testing. Part 1. X-ray and gamma-ray control methods using film. (2018). Standartinform. [in Russian language].
13. Kleizer, M. P., Kuvshinnikov, V. S., & Kovshov, E. E. (2024). Application of convolutional neural networks in raster image processing in non-destructive testing. Kontrol'. Diagnostika, 27(6), 60–71. [in Russian language]. https://doi.org/10.14489/td.2024.06.pp.060-071
14. Korchagin, V. D., Kuvshinnikov, V. S., & Kovshov, E. E. (2024). Criteria analysis of data processing models for radiation non-destructive testing. Mezhdunarodnyi zhurnal otkrytykh informatsionnykh tekhnologii, 12(4), 23–31. [in Russian language].

+ - Purchase digital version of a single article Click to collapse

This article is available in electronic format (PDF).

The cost of a single article is 700 rubles. (including VAT 20%). After you place an order within a few days, you will receive following documents to your specified e-mail: account on payment and receipt to pay in the bank.

After depositing your payment on our bank account we send you file of the article by e-mail.

To order articles please copy the article doi:

10.14489/td.2026.06.pp.024-033

and fill out the form