DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis
The design of robust and reliable power converters is fundamental in the incorporation of novel power systems. In this paper, we perform a detailed theoretical analysis of a synchronous ZETA converter controlled via peak-current with ramp compensation. The controller is designed to guarantee a stabl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/13/5946 |
| _version_ | 1797528672209469440 |
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| author | David Angulo-García Fabiola Angulo Juan-Guillermo Muñoz |
| author_facet | David Angulo-García Fabiola Angulo Juan-Guillermo Muñoz |
| author_sort | David Angulo-García |
| collection | DOAJ |
| description | The design of robust and reliable power converters is fundamental in the incorporation of novel power systems. In this paper, we perform a detailed theoretical analysis of a synchronous ZETA converter controlled via peak-current with ramp compensation. The controller is designed to guarantee a stable Period 1 orbit with low steady state error at different values of input and reference voltages. The stability of the desired Period 1 orbit of the converter is studied in terms of the Floquet multipliers of the solution. We show that the control strategy is stable over a wide range of parameters, and it only loses stability: (i) when extreme values of the duty cycle are required; and (ii) when input and reference voltages are comparable but small. We also show by means of bifurcation diagrams and Lyapunov exponents that the Period 1 orbit loses stability through a period doubling mechanism and transits to chaos when the duty cycle saturates. We finally present numerical experiments to show that the ramp compensation control is robust to a large set of perturbations. |
| first_indexed | 2024-03-10T10:01:40Z |
| format | Article |
| id | doaj.art-7672de4bf8a1436cb76a23b22301c664 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T10:01:40Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-7672de4bf8a1436cb76a23b22301c6642023-11-22T01:52:14ZengMDPI AGApplied Sciences2076-34172021-06-011113594610.3390/app11135946DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability AnalysisDavid Angulo-García0Fabiola Angulo1Juan-Guillermo Muñoz2Grupo de Modelado Computacional—Dinámica y Complejidad de Sistemas, Instituto de Matemáticas Aplicadas, Universidad de Cartagena, Carrera 6 # 36-100, Cartagena de Indias 130001, ColombiaFacultad de Ingeniería y Arquitectura, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Percepción y Control Inteligente—Bloque Q, Universidad Nacional de Colombia—Sede Manizales, Campus La Nubia, Manizales 170003, ColombiaInstituto Tecnológico Metropolitano, Calle 54A # 30-01, Barrio Boston, Medellín 050013, ColombiaThe design of robust and reliable power converters is fundamental in the incorporation of novel power systems. In this paper, we perform a detailed theoretical analysis of a synchronous ZETA converter controlled via peak-current with ramp compensation. The controller is designed to guarantee a stable Period 1 orbit with low steady state error at different values of input and reference voltages. The stability of the desired Period 1 orbit of the converter is studied in terms of the Floquet multipliers of the solution. We show that the control strategy is stable over a wide range of parameters, and it only loses stability: (i) when extreme values of the duty cycle are required; and (ii) when input and reference voltages are comparable but small. We also show by means of bifurcation diagrams and Lyapunov exponents that the Period 1 orbit loses stability through a period doubling mechanism and transits to chaos when the duty cycle saturates. We finally present numerical experiments to show that the ramp compensation control is robust to a large set of perturbations.https://www.mdpi.com/2076-3417/11/13/5946DC-DC synchronous ZETA converterfloquet multiplierslyapunov exponentsramp compensation controlnonlinear phenomena |
| spellingShingle | David Angulo-García Fabiola Angulo Juan-Guillermo Muñoz DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis Applied Sciences DC-DC synchronous ZETA converter floquet multipliers lyapunov exponents ramp compensation control nonlinear phenomena |
| title | DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis |
| title_full | DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis |
| title_fullStr | DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis |
| title_full_unstemmed | DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis |
| title_short | DC-DC Zeta Power Converter: Ramp Compensation Control Design and Stability Analysis |
| title_sort | dc dc zeta power converter ramp compensation control design and stability analysis |
| topic | DC-DC synchronous ZETA converter floquet multipliers lyapunov exponents ramp compensation control nonlinear phenomena |
| url | https://www.mdpi.com/2076-3417/11/13/5946 |
| work_keys_str_mv | AT davidangulogarcia dcdczetapowerconverterrampcompensationcontroldesignandstabilityanalysis AT fabiolaangulo dcdczetapowerconverterrampcompensationcontroldesignandstabilityanalysis AT juanguillermomunoz dcdczetapowerconverterrampcompensationcontroldesignandstabilityanalysis |