Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates
This paper proposes the generalized direct modulation for Conventional Matrix Converters (CMC) using the concept of analytical signals and barycentric coordinates. The paper proposes a novel approach to the Pulse Width Modulation (PWM) duty cycle computing, which allows faster prototyping of direct...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8972450/ |
| _version_ | 1819169970078089216 |
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| author | Pawel Szczepankowski Tomasz Bajdecki Ryszard Strzelecki |
| author_facet | Pawel Szczepankowski Tomasz Bajdecki Ryszard Strzelecki |
| author_sort | Pawel Szczepankowski |
| collection | DOAJ |
| description | This paper proposes the generalized direct modulation for Conventional Matrix Converters (CMC) using the concept of analytical signals and barycentric coordinates. The paper proposes a novel approach to the Pulse Width Modulation (PWM) duty cycle computing, which allows faster prototyping of direct control algorithms. The explanation of the new idea using analytical considerations demonstrating the principles of direct voltage synthesis has been presented in the article. The study concerns mainly the CMC3 × 3 but solutions for 3 × n, 5 × 5, and 5 × 3 topologies have also been discussed. The transformation of instantaneous input voltages to analytic signals great permits for simple presenting of real input voltage conditions such as waveform type, asymmetry or other deformation like higher-order harmonics. The proposed interpolation methods allow for determining the values of PWM duty cycles using simple formulas based on the determinants of the 2nd-degree matrices. Therefore, the proposed method, which based on the barycentric coordinates, frees an algorithm from trigonometry and angles. |
| first_indexed | 2024-12-22T19:27:57Z |
| format | Article |
| id | doaj.art-38bec245c3f34a3291c43ad93d9df1ab |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T19:27:57Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-38bec245c3f34a3291c43ad93d9df1ab2022-12-21T18:15:12ZengIEEEIEEE Access2169-35362020-01-018225922261610.1109/ACCESS.2020.29699818972450Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric CoordinatesPawel Szczepankowski0https://orcid.org/0000-0003-4678-8799Tomasz Bajdecki1https://orcid.org/0000-0001-5086-3830Ryszard Strzelecki2https://orcid.org/0000-0001-9437-9450Department of Power Electronics and Electrical Machines, Faculty of Electrical and Control Engineering, Gdansk University of Technology, Gdańsk, PolandInstitute of Power Engineering, Warszawa, PolandDepartment of Power Electronics and Electrical Machines, Faculty of Electrical and Control Engineering, Gdansk University of Technology, Gdańsk, PolandThis paper proposes the generalized direct modulation for Conventional Matrix Converters (CMC) using the concept of analytical signals and barycentric coordinates. The paper proposes a novel approach to the Pulse Width Modulation (PWM) duty cycle computing, which allows faster prototyping of direct control algorithms. The explanation of the new idea using analytical considerations demonstrating the principles of direct voltage synthesis has been presented in the article. The study concerns mainly the CMC3 × 3 but solutions for 3 × n, 5 × 5, and 5 × 3 topologies have also been discussed. The transformation of instantaneous input voltages to analytic signals great permits for simple presenting of real input voltage conditions such as waveform type, asymmetry or other deformation like higher-order harmonics. The proposed interpolation methods allow for determining the values of PWM duty cycles using simple formulas based on the determinants of the 2nd-degree matrices. Therefore, the proposed method, which based on the barycentric coordinates, frees an algorithm from trigonometry and angles.https://ieeexplore.ieee.org/document/8972450/Matrix converterPWM computationanalytic signalbarycentric coordinates |
| spellingShingle | Pawel Szczepankowski Tomasz Bajdecki Ryszard Strzelecki Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates IEEE Access Matrix converter PWM computation analytic signal barycentric coordinates |
| title | Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates |
| title_full | Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates |
| title_fullStr | Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates |
| title_full_unstemmed | Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates |
| title_short | Direct Modulation for Conventional Matrix Converters Using Analytical Signals and Barycentric Coordinates |
| title_sort | direct modulation for conventional matrix converters using analytical signals and barycentric coordinates |
| topic | Matrix converter PWM computation analytic signal barycentric coordinates |
| url | https://ieeexplore.ieee.org/document/8972450/ |
| work_keys_str_mv | AT pawelszczepankowski directmodulationforconventionalmatrixconvertersusinganalyticalsignalsandbarycentriccoordinates AT tomaszbajdecki directmodulationforconventionalmatrixconvertersusinganalyticalsignalsandbarycentriccoordinates AT ryszardstrzelecki directmodulationforconventionalmatrixconvertersusinganalyticalsignalsandbarycentriccoordinates |