UNIV. NEWS. NORTH-CAUCAS. REG. TECHNICAL SCIENCES SERIES. 2022; 4: 41-45
http://dx.doi.org/10.17213/1560-3644-2022-4-41-45
EVALUATION OF THE COMPUTATIONAL EFFICIENCY OF A MODIFIED METHOD FOR ACCELERATED NODAL ANALYSIS OF LARGE ELECTRIC CIRCUITS
Lebedev Ivan S. – Graduate Student, Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, LebedevBK@outlook.com
Savelov Nikolay S. – Doctor of Technical Sciences, Professor, Department «Automation and Telemechanics», Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, savelovn@mail.ru
Abstract
It is shown that the previously proposed approach to the automated formation of mathematical models of complex electrical circuits based on the Kirchhoff equations is also effective in the case of nodal circuit analysis. The performed numerical experiments showed that the phenomenon of error quasi-stabilization found earlier when using the Kirchhoff equations with multiple resolutions of changing systems of equations also takes place in the case of applying nodal equations.
Keywords: mathematical models, electrical circuits, nodal analysis, resolutions of systems of linear algebraic equations
Full text: [in elibrary.ru]
References
- Lebedev I.S., Savelon N.S., Basan S.N. A New Approach to the Formation of the Test Mathematical Models of Complex Electrical Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2021; (6):5–11. (In Russ.)
- Delone B.N., Galiulin R.V., Shtogrin M.I. Modern Theory of Regular Partitions of Euclidean Space. Correct division of plane and space. Leningrad: Science; 1979. Pp. 235–260.
- Delone B.N. Planigon Theory. Izv. Academy of Sciences of the USSR. Ser. Mathematical.1959. 23(3): 364–386. (In Russ.)
- Savelov N.S. Calculation of Transient Processes in Pre-ordered Electrical Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 1985; (4): 85–92. (In Russ.)
- Lebedev I.S., Savelov N.S. New Research Results of Algorithms for Analysis of Changing Electric Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2020; (6):29–36. (In Russ.)
- Savelov N.S. A New Approach to the Formation of Equations of State for Electronic Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 1986; (9):72–74. (In Russ.)
- Savelov N.S. Formation of Equations of State Under Changes in Electrical Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 1987; (12):13–18. (In Russ.)
- Savelov N.S., Lebedev I.S. Accelerated Analysis of Combined Electrical Circuits in Alternating Current Mode. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2019; (3):18–25. (In Russ.)
- Savelov N.S., Khlyntsev S.G. An Effective Method for Parametric Synthesis of Electrical Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2013; (5):9–13. (In Russ.)
- Savelov N.S., Khlyntsev S.G. Development of a Method for the Synthesis of Electrical Circuits. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2015; (3): 11–19. (In Russ.)
- Savelov N.S., Lebedev I.S. The Phenomenon of Quasi-stabilization of the Error in Repeated Solutions of Systems of Linear Algebraic Equations. 58th scientific conf. MIPT: Sat. thesis. scientific. conf., 23-28 November 2015, Dolgoprudny. MIPT. Dolgoprudny, 2015. Available at: http://conf58.mipt.ru/static/reports_pdf/201.pdf (accessed 30.09.2022)
- Savelov N.S., Lebedev I.S. Repeated Multiple Analysis of Electrical Circuits Without Increasing the Error. Izvestiya Vysshihkh Uchebnykh Zavedenii. Elektromekhanika = Bulletin of Higher Educational Institutions. Electromechanics. 2016; (3):18–24. (In Russ.)
- Chua L., Ling Peng-Ming. Machine Analysis of Electronic Schemes: Algorithms and Computational Methods. Moscow. Energy; 1980. 640 p.