LoginRegistration
For instance: The List of VAK
About consortium subscription Contacts
(812) 4095364 Non-commercial partnership
St. Petersburg
university
consortium

Articles

"University Research Journal" № 5, 2013 г.

Simulation of Hybrid Systems with Implicitly Specifi ed Modal Behavior in the ISMA Environment

Yu. V. Shornikov, D. N. Dostovalov, M. S. Myssak
Price: 50 руб.
A class of hybrid systems (HS) with models unresolved with respect to the derivative is considered. Algorithm of numerical analysis of HS modes is given. Theorem about the choice of the integration step considering the event function dynamic has been formulated and proved. Algorithm of the accurate event detection with implicit continuous behavior models is designed. Testing of the proposed algorithms in the ISMA instrumental environment is performed. Example of specifi cation and analysis of
electric power systems models is given.
Keywords: Hybrid system; set of ODE unresolved with respect to the derivative;
Rosenbrock type method; event detection
REFERENCES
1. Demidov G. V., Novikov E. A. The error of one-step methods for ordinary differential
equations integrating // Computational methods of continuous media mechanics, 1985, 16, № 1, pp. 27–39.
2. Elsgolts L. E. Differential equations and the calculus of variations / Moscow: Nauka,
1965, 424 p.
3. Novikov E. A., Shornikov Yu. V. Computer simulation of stiff hybrid systems: monograph / Novosibirsk: Publishing house of the NSTU, 2012, 451p.
4. Rosenbrock H. H. Some general implicit processes for the numerical solution of differential equations // Computer, 1963, № 5, pp. 329–330.
5. Shornikov Yu. V. Instrumental tools of computerized analysis (ISMA) / Yu. V. Shornikov, V. S. Druzhinin, N. А. Makarov, K. V. Omelchenko, and I. N. Tomilov // Offi cial registration license for computers No. 2005610126, Мoscow, Rospatent, 2005.
6. Shornikov Yu. V. Numerical modeling of dynamic processes in electric power systems as a strategic management tool / Yu. V. Shornikov, I. N. Tomilov, D. N. Dostovalov, M. S. Denisov // Scientifi c bulletin of the NSTU, 2011. № 4 (45). pp. 129–134.
Price: 50 рублей
To order