Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter
This paper focuses on the steady-behavior of a differential boost inverter used for generating a sinewave AC voltage in rural areas. The analysis of its dynamics will be performed using an accurate approach based on discrete time models and Floquet theory and adopting a quasi-static approximation. I...
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| Format: | Article |
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MDPI AG
2020-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/16/5626 |
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| author | Abdelali El Aroudi Mohamed Al-Numay Reham Haroun Meng Huang |
| author_facet | Abdelali El Aroudi Mohamed Al-Numay Reham Haroun Meng Huang |
| author_sort | Abdelali El Aroudi |
| collection | DOAJ |
| description | This paper focuses on the steady-behavior of a differential boost inverter used for generating a sinewave AC voltage in rural areas. The analysis of its dynamics will be performed using an accurate approach based on discrete time models and Floquet theory and adopting a quasi-static approximation. In particular, the undesired subharmonic oscillation exhibited by the inverter will be analyzed and its boundary in the parameter space will be predicted and delimited. Combining analytical expressions and computational procedures to determine the quasi-static duty cycle, subharmonic oscillation is accurately predicted. It is found that subharmonic oscillation takes place at critical values of the sinewave voltage reference cycle, which can cause distortion to the input current and degrade the harmonic content of the output voltage. The results provide useful information for the design of the boost inverter to avoid distortion caused by subharmonic oscillation. Namely, the minimum value of the compensation slope and the maximum proportional gain of the AC output voltage controller guaranteeing a pure sinewave voltage and clean inductor current during the entire AC cycle will be determined. Numerical simulations performed on the switched model implemented using PSIM© software confirm the theoretical predictions. |
| first_indexed | 2024-03-10T17:29:32Z |
| format | Article |
| id | doaj.art-42c60bb30f4d4f3db6af1a5285b65d40 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T17:29:32Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-42c60bb30f4d4f3db6af1a5285b65d402023-11-20T10:04:28ZengMDPI AGApplied Sciences2076-34172020-08-011016562610.3390/app10165626Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost InverterAbdelali El Aroudi0Mohamed Al-Numay1Reham Haroun2Meng Huang3Department of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili, 43002 Tarragona, SpainElectrical Engineering Department, King Saud University, 11451 Riyadh, Saudi ArabiaDepartment of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili, 43002 Tarragona, SpainSchool of Electrical Engineering, Wuhan University, Wuhan 430072, ChinaThis paper focuses on the steady-behavior of a differential boost inverter used for generating a sinewave AC voltage in rural areas. The analysis of its dynamics will be performed using an accurate approach based on discrete time models and Floquet theory and adopting a quasi-static approximation. In particular, the undesired subharmonic oscillation exhibited by the inverter will be analyzed and its boundary in the parameter space will be predicted and delimited. Combining analytical expressions and computational procedures to determine the quasi-static duty cycle, subharmonic oscillation is accurately predicted. It is found that subharmonic oscillation takes place at critical values of the sinewave voltage reference cycle, which can cause distortion to the input current and degrade the harmonic content of the output voltage. The results provide useful information for the design of the boost inverter to avoid distortion caused by subharmonic oscillation. Namely, the minimum value of the compensation slope and the maximum proportional gain of the AC output voltage controller guaranteeing a pure sinewave voltage and clean inductor current during the entire AC cycle will be determined. Numerical simulations performed on the switched model implemented using PSIM© software confirm the theoretical predictions.https://www.mdpi.com/2076-3417/10/16/5626differential boost invertercurrent mode controlnonlinear behaviorsubharmonic oscillationslope compensation |
| spellingShingle | Abdelali El Aroudi Mohamed Al-Numay Reham Haroun Meng Huang Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter Applied Sciences differential boost inverter current mode control nonlinear behavior subharmonic oscillation slope compensation |
| title | Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter |
| title_full | Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter |
| title_fullStr | Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter |
| title_full_unstemmed | Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter |
| title_short | Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter |
| title_sort | analysis of subharmonic oscillation and slope compensation for a differential boost inverter |
| topic | differential boost inverter current mode control nonlinear behavior subharmonic oscillation slope compensation |
| url | https://www.mdpi.com/2076-3417/10/16/5626 |
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