ПОБУДОВА КОНТУРА МОДУЛЯЦІЇ ВИХІДНОЇ НАПРУГИ ДЖЕРЕЛА ЖИВЛЕННЯ З НЕЛІНІЙНИМ ТРАНСФОРМАТОРОМ ЗА ДОПОМОГОЮ МАТЕМАТИЧНОЇ МОДЕЛІ ПОНИЖЕНОГО ПОРЯДКУ
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 equatio...
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| Date: | 2017 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут електродинаміки Національної академії наук України
2017
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| Subjects: | |
| Online Access: | https://prc.ied.org.ua/index.php/proceedings/article/view/273 |
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| Journal Title: | Proceedings of the Institute of Electrodynamics of the National Academy of Sciences of Ukraine |
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Proceedings of the Institute of Electrodynamics of the National Academy of Sciences of Ukraine| Summary: | 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. |
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