Clean Power

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The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

About Institute



T.V. Mysak
Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
Peremohy, 56, Kyiv-57, 03680, Ukraine,
е-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it

The object of study is the sinusoidal voltage source, that is composed of a frequency converter with an output LC-filter and a non-linear single-phase output transformer. A mathematical model of this source is constructed in the form of a nonlinear singularly perturbed system of differential equations. Conditions for the existence of an integral manifold in a system with a not - known -control in advance in general form are obtained. The possibility of decreasing the order of the mathematical model of this power source by means of an integral manifold in the form of a power series is shown. A synthesis of the control strategy is carried out by establishing a correspondence between the modulating function and the coefficients of the Lyapunov function. The results of modeling are presented. References 14, figures 2.
Key words: frequency converter, output LC-filter, nonlinear transformer, singularly-perturbed system, integral manifold, theorem of existence, reduction of order.

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