DOI: https://doi.org/10.15407/techned2017.01.003
USE OF POWER METHOD FOR IDENTIFICATION OF NONLINEARITY PARAMETERS
Journal |
Tekhnichna elektrodynamika |
Publisher |
Institute of Electrodynamics National Academy of Science of Ukraine |
ISSN |
1607-7970 (print), 2218-1903 (online) |
Issue |
No 1, 2017 (January/February) |
Pages |
3 – 9 |
Authors M. Zagirnyak, D. Mosiundz, D. Rodkin Institute of Electromechanics, Energy Saving and Control Systems, Kremenchuk Mykhailo Ostrohradskyi National University, 20, Pershotravneva Street, Kremenchuk, Ukraine, e-mail:
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Abstract
Procedure of calculation of nonlinearity parameters by power method based on equations of balance of the source and consumer instantaneous powers components according to each separate harmonic is proposed. It is demonstrated that such an approach makes it possible to obtain the required number of equations for determination of the nonlinearity parameters. The method is verified using the example of calculation of parameters of a simple electric circuit with a nonlinear inductance. References 12, figures 6.
Key words: nonlinear element, instantaneous power, power method, equations of instantaneous power components balance.
Received: 11.04.2016 Accepted: 16.12.2016 Published: 19.01.2017
References
1. Rodkin D.Y. On the inconsistency of some theory of the energy processes with Tellegen’s theorem. Problems of automated electric drive. Theory and practice. 2010. Vol. 28. Pp. 127–135. (Rus) 2. Engberg J., Larsen T. Theory of Linear and Nonlinear Circuits. Denmark: The Univesity of Aalborg, 1995. 3. Heitbrink A., Beyer A. A new approach for the calculation of nonlinear magnetic circuits. Journal of Applied Physics. 2009. Vol. 73. Pр. 6793–6795. 4. Douglas Wilhelm Harder, Math M. Numerical Methods for Electrical and Computer Engineers. Canada, Ontario: University of Waterloo, 2005. 5. Salon S.J. Finite Element Analysis of Electrical Machines. Kluwer Academic Publishers, 1995. 6. Wcislik M. Powers Balances in AC Electric Circuit with Nonlinear Load. IEEE Transactions on Industry Applications, Harmonics and Quality of Power (ICHQP). 2010. Pр. 1–6. 7. Zghoul F.N., Egolf D. Analyzing nonlinear circuits using a modified harmonic balance method. IEEE Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD). 2012. Pp. 213–216. 8. Depenbrock M., Staudt V., Wrede H. A theoretical investigation of original and modified instantaneous power theory applied to four-wire systems. IEEE Transactions on Industry Applications. 2003. Vol. 39. No 4. Pp. 1089–1095. 9. Rodkin D., Mosyundz D., Cherniy A., Korenkova T. Enhancement capabilities of energy method in task of identification nonlinearity of electromechanical system. Electromechanical and energy saving systems. 2012. Vol. 18. No 2. – Pp. 10–17. (Rus) 10. Rodkin D.I., Byalobrzheskii A.V., Lomonos A.I. Energy processes in grid with polyharmonic voltage and current. Russian Electrical Engineering. 2004. No 75(6). Pp. 60–69. 11. Meisel J. Principles of Electromechanical Energy Conversion. New York: McGraw-Hill, 1996. 12. Chen W.K. Feedback, Nonlinear, and Distributed Circuits. USA, Chicago: CRC Press, 2009.
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