Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams
A boost converter is an electronic circuit that generates a higher voltage in the output than in the input. The most common method to regulate the DC/DC converter is pulse-width modulation (PWM), and some techniques such as sliding mode control help perform a switching frequency to determine the dut...
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| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/4/694 |
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| author | Simeón Casanova Trujillo John E. Candelo-Becerra Fredy E. Hoyos |
| author_facet | Simeón Casanova Trujillo John E. Candelo-Becerra Fredy E. Hoyos |
| author_sort | Simeón Casanova Trujillo |
| collection | DOAJ |
| description | A boost converter is an electronic circuit that generates a higher voltage in the output than in the input. The most common method to regulate the DC/DC converter is pulse-width modulation (PWM), and some techniques such as sliding mode control help perform a switching frequency to determine the duty cycle. However, some instabilities at different operating points have been detected with the controllers that have not yet been studied. Therefore, this paper presents a numerical validation of the boost converter with bifurcation diagrams. The pulse-width modulation is controlled by using a quasi-sliding mode control technique, such as the zero average dynamics, because it allows for the reduction of some phenomena such as chattering, ripple, and distortions. The results show that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>−</mo><mi>T</mi></mrow></semantics></math></inline-formula> periodic orbits are detected with this technique from an initial operating point and they present a qualitative symmetry in both voltage and current variables. This technique is helpful to study a whole range of instability problems resulting from the different power converters and the controllers. |
| first_indexed | 2024-03-09T10:28:27Z |
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| id | doaj.art-b400979883c446f4bdbcf18f49791b3b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:28:27Z |
| publishDate | 2022-03-01 |
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| series | Symmetry |
| spelling | doaj.art-b400979883c446f4bdbcf18f49791b3b2023-12-01T21:28:21ZengMDPI AGSymmetry2073-89942022-03-0114469410.3390/sym14040694Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation DiagramsSimeón Casanova Trujillo0John E. Candelo-Becerra1Fredy E. Hoyos2Grupo de Investigación Cálculo Científico y Modelamiento Matemático, Universidad Nacional de Colombia, Sede Manizales, Manizales 170003, ColombiaDepartamento de Energía Eléctrica y Automática, Facultad de Minas, Universidad Nacional de Colombia, Sede Medellín, Carrera 80 No. 65-223, Robledo, Medellín 050041, ColombiaDepartamento de Energía Eléctrica y Automática, Facultad de Minas, Universidad Nacional de Colombia, Sede Medellín, Carrera 80 No. 65-223, Robledo, Medellín 050041, ColombiaA boost converter is an electronic circuit that generates a higher voltage in the output than in the input. The most common method to regulate the DC/DC converter is pulse-width modulation (PWM), and some techniques such as sliding mode control help perform a switching frequency to determine the duty cycle. However, some instabilities at different operating points have been detected with the controllers that have not yet been studied. Therefore, this paper presents a numerical validation of the boost converter with bifurcation diagrams. The pulse-width modulation is controlled by using a quasi-sliding mode control technique, such as the zero average dynamics, because it allows for the reduction of some phenomena such as chattering, ripple, and distortions. The results show that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>−</mo><mi>T</mi></mrow></semantics></math></inline-formula> periodic orbits are detected with this technique from an initial operating point and they present a qualitative symmetry in both voltage and current variables. This technique is helpful to study a whole range of instability problems resulting from the different power converters and the controllers.https://www.mdpi.com/2073-8994/14/4/694bifurcation diagramsnumerical validationperiodic orbitszero average dynamicscontrol system |
| spellingShingle | Simeón Casanova Trujillo John E. Candelo-Becerra Fredy E. Hoyos Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams Symmetry bifurcation diagrams numerical validation periodic orbits zero average dynamics control system |
| title | Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams |
| title_full | Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams |
| title_fullStr | Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams |
| title_full_unstemmed | Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams |
| title_short | Numerical Validation of a Boost Converter Controlled by a Quasi-Sliding Mode Control Technique with Bifurcation Diagrams |
| title_sort | numerical validation of a boost converter controlled by a quasi sliding mode control technique with bifurcation diagrams |
| topic | bifurcation diagrams numerical validation periodic orbits zero average dynamics control system |
| url | https://www.mdpi.com/2073-8994/14/4/694 |
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