Keywords
output LC-filter
one phase nonlinear transformer
singular perturbed system
Lyapunov functions method
How to Cite
Abstract
The object of study is the sinusoidal voltage source that is composed of a PWM frequency converter with an output LC-filter and single-phase nonlinear output transformer. The mathematical description of nonlinear singularly perturbed system of differential equations for which the reduction has been performed. The nonlinearity is given to the form, which the synthesis control law using the method of Lyapunov functions will perform. The simulation results carried out within the limitations affecting the possibility of technical implementation of the resulting control law are presented. References 14, figures 6.
References
Antonovskaya O.G., Goryunov V.I. On the Choice of Parameters of the Lyapunov Quadratic Function in Solving Dynamic Problems. Vestn. Nizhny Novgorod University im. N.I. Lobachevsky. 2014. Issue. 3. P. 103–108.
Baikov A.V. Mathematical models of transformers in the analysis of the power part of electric drives. Tr. Nizhny Novgorod State tech. un-ta im. R.E. Alekseev. Electrical engineering and power industry. 2013. No. 5 (102). P. 316–327.
Volyansky R., Poslayko I., Sadovoy O. Designation of the characteristic characteristic polynomial for a narrowed electromechanical system of optimal heating. Electric Power Engineering & Control Systems 2013” (EPECS-2013), 21–23 November 2013, Lviv, Ukraine. P. 18-19.
Derzhavin O.M., Sidorova E.Yu. On one approach to the study of a nonlinear non-autonomous singularly perturbed model of a dynamical system. Izvestiya of the Samara Scientific Center of the Russian Academy of Sciences. 2016. V. 18, No. 2(3). P. 888-890.
Kalitin B.S. Stability of non-autonomous differential equations: Nauchn. ed. Minsk, BGU, 2013. 264 p.
Malkin I.G. Stability under permanent disturbances. Applied Mathematics and Mechanics. 1944. T. 8, Issue. 3. P. 241-245.
Misak T.V. Formation of a sinusoidal ventilated voltage of the dzherel zhivolennya with an extrinsic transformer in the kovzny mode. Pr. Institute of Electrodynamics of the National Academy of Sciences of Ukraine. 2016. Vip. 6. 7. P. 91–96.
Mikhalsky V.M. Change the power of electricity at the input and output of the frequency and voltage changes with pulse-width modulation. K.: Institute of Electrodynamics of the National Academy of Sciences of Ukraine, 2013. 340 p.
Pentegov I.V., Krasnozhon A.V. Universal Approximation of Magnetization Curves of Electrical Steels. Electrical Engineering and Electromechanics. 2006. No. 1. P. 66-70.
Rolled cold-rolled sheet. Catalog. NLMK, Lipetsk. 2009. 42 p.
Strygin V.V., Sobolev V.A., Gorlova E.Ya., Fridman E.Ya. Integral manifolds of singularly perturbed systems and some of their applications. Differential Equations. 1985. T. XXI, No. 10. P. 1723-1726.
Ming-Shi Huang, Po-YiYeh, U-Ting Yeh, Meng-Gu Huang. Digital-Controlled Single-Phase Transformer-Based Inverter for Non-Linear Load Applications. IEEE Transactions On Industrial Informatics, Vol. 9, No. 2, May 2013. P. 1084–1093.
Naidu D.S., Sen S. Singular perturbation method for the transient analysis of a transformer. Electric Power Systems Research. 1982. Vol. 5, Iss. 4. Р. 307–313.
Ramesh R., A.John Dhanaseely, R.Malar, Design of Single phase inverter using PID controller For nonlinear load application. International Journal of Innovative Research in Technology & Science, Volume-2 Issue-5: Published On September 30, 2014. P. 55-60.
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