Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach
This paper proposes a modulated model predictive strategy suitable for current control of grid-connected converters with LCL filters, allowing fast dynamic responses with a fixed switching frequency, for both strong and weak grid conditions. The duty cycles are optimized within each switching period...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021-01-01
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| Series: | IEEE Open Journal of Industry Applications |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9648217/ |
| _version_ | 1819096398069497856 |
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| author | Caio R. D. Osorio Dimas A. Schuetz Gustavo G. Koch Fernanda Carnielutti Daniel M. Lima Luiz A. Maccari Jr Vinicius F. Montagner Humberto Pinheiro |
| author_facet | Caio R. D. Osorio Dimas A. Schuetz Gustavo G. Koch Fernanda Carnielutti Daniel M. Lima Luiz A. Maccari Jr Vinicius F. Montagner Humberto Pinheiro |
| author_sort | Caio R. D. Osorio |
| collection | DOAJ |
| description | This paper proposes a modulated model predictive strategy suitable for current control of grid-connected converters with LCL filters, allowing fast dynamic responses with a fixed switching frequency, for both strong and weak grid conditions. The duty cycles are optimized within each switching period based on the minimization of a quadratic cost function with linear constraints from the space vector modulation. Full and reduced-order models are considered for the control design, and closed-form analytical solutions for the optimization problem are derived based on the Karush-Kuhn-Tucker conditions. The closed-form expressions for the optimal solution make it possible to implement the algorithm in real time using off-the-shelf microcontrollers. Extensive evaluation illustrates good transient and steady state performances for different grid conditions. In addition, the proposed MPC takes into account the voltage synthesis capability of the inverter and copes with overmodulation in an orderly fashion even in large transients. |
| first_indexed | 2024-12-21T23:58:33Z |
| format | Article |
| id | doaj.art-1612233da36849799979698be140e657 |
| institution | Directory Open Access Journal |
| issn | 2644-1241 |
| language | English |
| last_indexed | 2024-12-21T23:58:33Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Industry Applications |
| spelling | doaj.art-1612233da36849799979698be140e6572022-12-21T18:45:45ZengIEEEIEEE Open Journal of Industry Applications2644-12412021-01-01236637710.1109/OJIA.2021.31345859648217Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization ApproachCaio R. D. Osorio0https://orcid.org/0000-0002-9248-2136Dimas A. Schuetz1https://orcid.org/0000-0001-8853-6579Gustavo G. Koch2https://orcid.org/0000-0003-4654-7776Fernanda Carnielutti3https://orcid.org/0000-0001-8257-7580Daniel M. Lima4https://orcid.org/0000-0003-3929-8361Luiz A. Maccari Jr5Vinicius F. Montagner6https://orcid.org/0000-0003-1260-7486Humberto Pinheiro7https://orcid.org/0000-0002-5225-6126Federal University of Santa Maria, Santa Maria, RS, BrazilFederal University of Santa Maria, Santa Maria, RS, BrazilFederal University of Santa Maria, Santa Maria, RS, BrazilFederal University of Santa Maria, Santa Maria, RS, BrazilFederal University of Santa Catarina, Blumenau, SC, BrazilFederal University of Santa Catarina, Blumenau, SC, BrazilFederal University of Santa Maria, Santa Maria, RS, BrazilFederal University of Santa Maria, Santa Maria, RS, BrazilThis paper proposes a modulated model predictive strategy suitable for current control of grid-connected converters with LCL filters, allowing fast dynamic responses with a fixed switching frequency, for both strong and weak grid conditions. The duty cycles are optimized within each switching period based on the minimization of a quadratic cost function with linear constraints from the space vector modulation. Full and reduced-order models are considered for the control design, and closed-form analytical solutions for the optimization problem are derived based on the Karush-Kuhn-Tucker conditions. The closed-form expressions for the optimal solution make it possible to implement the algorithm in real time using off-the-shelf microcontrollers. Extensive evaluation illustrates good transient and steady state performances for different grid conditions. In addition, the proposed MPC takes into account the voltage synthesis capability of the inverter and copes with overmodulation in an orderly fashion even in large transients.https://ieeexplore.ieee.org/document/9648217/Fixed switching frequencygrid-tied invertersLCL filtermodel predictive control |
| spellingShingle | Caio R. D. Osorio Dimas A. Schuetz Gustavo G. Koch Fernanda Carnielutti Daniel M. Lima Luiz A. Maccari Jr Vinicius F. Montagner Humberto Pinheiro Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach IEEE Open Journal of Industry Applications Fixed switching frequency grid-tied inverters LCL filter model predictive control |
| title | Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach |
| title_full | Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach |
| title_fullStr | Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach |
| title_full_unstemmed | Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach |
| title_short | Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach |
| title_sort | modulated model predictive control applied to lcl filtered grid tied inverters a convex optimization approach |
| topic | Fixed switching frequency grid-tied inverters LCL filter model predictive control |
| url | https://ieeexplore.ieee.org/document/9648217/ |
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