Series: Nuclear and Reactor Constants

since 1971

Русский (РФ)

ISSN 2414-1038 (online)


Authors & Affiliations

Timofeev K.A., Antonenko A.S., Petukhov V.N.
LLC “3V Services”, Moscow, Russia

Antonenko A.S. – Lead Software Engineer. Contacts: 25, Building 1, Trubnaya street, Moscow, 127051. Tel.: +7 (977) 118-37-20; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Timofeev K.A. – Lead Software Engineer.
Petukhov V.N. – General Director, LLC “3V Services”.


The modern approach to the design of complex technical objects, such as nuclear power plants, re-quires the widespread use of computational modeling methods, including modeling the dynamic behavior of systems in time in order to create adequate control algorithms. To quickly create and edit mathematical models, you should use a visual representation of the model in the form of a graph, directed in the case of models of control algorithms and non-directional, in the case of models of thermal-hydraulic processes in circuits and cooling systems.
When modeling the dynamics of systems of nuclear power plants, it becomes necessary to describe them structurally in the form of a directed or undirected graph. The description of systems of various classes can be reduced to a directed input-output graph or to a nodal graph, where conservation equations are postulated at the nodes.
The article considers a method for converting an undirected graph of a model to a directed one and related improvements in the algorithm for searching for links and sorting a graph in the automatic compilation of systems of differential algebraic equations.
The method considered in the article makes it possible to automate the compilation of systems of equations when compiling a complex model, which includes mathematical models of systems of nuclear power plants of various physical nature.
The application of the method is demonstrated on the example of a complex computer model of a power unit with a lead-cooled reactor.

complex simulation, nuclear power station, automatic control system, energy system, thermal hydraulics, nodal graph, automation of calculation of dynamic characteristics, TPP, HS, SimInTech

Article Text (PDF, in Russian)


UDC 621.039.578

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2022, no. 4, 4:16