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Evgeny A. Popov
Yury V. Shornikov



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Evgeny A. Popov
Yury V. Shornikov


WSEAS Transactions on Systems and Control


Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 14, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 14, 2019



Modeling and Simulation of Electric Power Systems as Hybrid Systems in ISMA

AUTHORS: Evgeny A. Popov, Yury V. Shornikov

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ABSTRACT: Studying the dynamic behavior of electric power systems is important part of a power engineer’s work. Transient phenomena in electric power systems can be naturally and conveniently modelled as hybrid or event-continuous systems, which are a generalization of classical dynamical systems. The approach is illustrated by a model of a large electric power system with controllers and protective devices. An original event detection algorithm for explicit numerical methods with error and stability control is presented and used to simulate the model. The simulation results show that the approach can be successfully applied to modeling and simulation of electric power systems. The model was composed and simulated in the modeling and simulation environment ISMA.

KEYWORDS: Electric Power System, DQZ Transform, Hybrid System, Hybrid System Simulation, Stability Control, Modeling and Simulation Environment

REFERENCES:

[1] A. von Meier, Electric Power Systems. A Conceptual Introduction, John Wiley & Sons, 2006.

[2] P. J. Antsaklis, A Brief Introduction to the Theory and Applications of Hybrid Systems, Proceedings of the IEEE, Vol.88, No.7, 2000, pp.879-887.

[3] A. J. van der Schaft, H. Schumacher, An Introduction to Hybrid Dynamical Systems, Springer-Verlag London, 2000.

[4] J. M. Esposito, Simulation and Control of Hybrid Systems with Applications to Mobile Robotics. Ph.D. Thesis, University of Pennsylvania, USA, 2002.

[5] E. Hairer, S. Nørsett, G. Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems, Springer-Verlag Berlin Heidelberg, 1993.

[6] T. Yu. Fomina, Razrabotka algoritma raschjota pjerjehodnyh protsjessov slozhnyh rjegulirujemyh EES: dis... kand. tehn. nauk (Development of an Algorithm for Simulating Transients in Complex Electric Power Systems with Controllers: Candidate of Technical Sciences Thesis, Moscow Power Engineering Institute, Russia, 2014 (in Russian)

[7] V. A. Venikov, Transient Phenomena in Electrical Power Systems, Pergamon press, 1964.

[8] Yu. V. Shornikov, D. N. Dostovalov, Features of the ISMA Modeling and Simulation Environment, Proceedings of the International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON-2017), 2017, pp. 332-337.

[9] E. A. Novikov, M. A. Rybkov, Application of Explicit Methods with Extended Stability Regions for Solving Stiff Problems, Mathematics & Physics, Vol.9, Iss.2, 2016, pp. 209–219.

[10] E. Hairer, G. Wanner, Solving Ordinary Differential Equations II: Stiff and DifferentialAlgebraic Problems, Springer-Verlag Berlin Heidelberg, 1996.

[11] Yu. V. Shornikov, B. U. Uatay, E. A. Novikov, Methods for Solution of Stiff Problems, Kazakh-British Technical University Publisher, 2010.

[12] F. E. Cellier, E. Kofman, Continuous system simulation, Springer US, 2006.

[13] Yu. V. Shornikov, E. A. Popov, An Integration Algorithm for Simulating Stiff Electrical Networks, Proceedings of the Moscow Workshop on Electronic and Networking Technologies (MWENT-2018), 2018, 5p.

[14] J. M. Esposito, V. Kumar, A State Event Detection Algorithm for Numerically Simulating Hybrid Systems with Model Singularities, ACM Transactions on Modeling and Computer Simulation, Vol.17, Iss.1, 2007, pp. 1-22.

[15] C. W.Gear, O. Osterby, Solving Ordinary Differential Equations with Discontinuities, ACM transactions on mathematical software, Vol.10, Iss.1, 1984, pp. 23-44.

[16] L. F. Shampine, I. Gladwell, R. W. Brankin, Reliable Solution of Special Event Location Problems for ODEs, ACM transactions on Mathematical Software, Vol.17, Iss.1, 1991, pp. 11–25.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 14, 2019, Art. #8, pp. 57-64


Copyright Β© 2019 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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