Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique
This study proposes a classical control algorithm for solving the transcendental set of equations for the unequal DC sources of five-level multilevel inverters (MLIs). Such sources can be generated from renewable energy sources. Two DC sources with different values are used to produce an output volt...
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MDPI AG
2020-09-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/13/18/4715 |
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| author | Mahrous Ahmed Essam Hendawi Basem Alamri Mosleh Alharthi Farhan Salem Mohamed Orabi Saad Mekhilef Sherif Ghoneim |
| author_facet | Mahrous Ahmed Essam Hendawi Basem Alamri Mosleh Alharthi Farhan Salem Mohamed Orabi Saad Mekhilef Sherif Ghoneim |
| author_sort | Mahrous Ahmed |
| collection | DOAJ |
| description | This study proposes a classical control algorithm for solving the transcendental set of equations for the unequal DC sources of five-level multilevel inverters (MLIs). Such sources can be generated from renewable energy sources. Two DC sources with different values are used to produce an output voltage with five levels. Then, a set of two transcendental equations is formulated with two targeted functions to control the fundamental component and cancel the stipulated single harmonic order. The proposed solution uses a simple classical proportional control with two loops to generate two switching angles. The first switching angle is assigned with an initial value, whereas the second one is calculated from the inner loop. The outer loop is used to cancel the specified harmonic by sending the error signal to the proposed proportional control that tunes the switching angles. The proposed algorithm is easy, fast, and accurate, and has a wide-range solution in terms of modulation index (<inline-formula><math display="inline"><semantics><mrow><mi>MI</mi></mrow></semantics></math></inline-formula> ) and input DC source ratio (<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="normal">x</mi><mo>=</mo><mfrac><mrow><msub><mi mathvariant="normal">V</mi><mn>1</mn></msub></mrow><mrow><msub><mi mathvariant="normal">V</mi><mn>2</mn></msub></mrow></mfrac><mo>≤</mo><mn>1</mn></mrow></semantics></math></inline-formula>). The proposed algorithm is tested for a wide range of <inline-formula><math display="inline"><semantics><mrow><mi>MI</mi></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mi mathvariant="normal">x</mi></semantics></math></inline-formula> to verify its feasibility. Moreover, several simulation and laboratory tests are presented to further validate the applicability of the proposed approach. |
| first_indexed | 2024-03-10T16:26:56Z |
| format | Article |
| id | doaj.art-e6837130efd94c0aa7390480d799b62f |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T16:26:56Z |
| publishDate | 2020-09-01 |
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| record_format | Article |
| series | Energies |
| spelling | doaj.art-e6837130efd94c0aa7390480d799b62f2023-11-20T13:12:31ZengMDPI AGEnergies1996-10732020-09-011318471510.3390/en13184715Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE TechniqueMahrous Ahmed0Essam Hendawi1Basem Alamri2Mosleh Alharthi3Farhan Salem4Mohamed Orabi5Saad Mekhilef6Sherif Ghoneim7Electrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaElectrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaElectrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaElectrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaElectrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaAPEARC, Faculty of Engineering, Aswan University, Aswan 81542, EgyptDepartment of Electrical Engineering, University of Malaya, Kuala Lumpur 50603, MalaysiaElectrical Engineering Department, College of Engineering, Taif University, Taif 21974, Saudi ArabiaThis study proposes a classical control algorithm for solving the transcendental set of equations for the unequal DC sources of five-level multilevel inverters (MLIs). Such sources can be generated from renewable energy sources. Two DC sources with different values are used to produce an output voltage with five levels. Then, a set of two transcendental equations is formulated with two targeted functions to control the fundamental component and cancel the stipulated single harmonic order. The proposed solution uses a simple classical proportional control with two loops to generate two switching angles. The first switching angle is assigned with an initial value, whereas the second one is calculated from the inner loop. The outer loop is used to cancel the specified harmonic by sending the error signal to the proposed proportional control that tunes the switching angles. The proposed algorithm is easy, fast, and accurate, and has a wide-range solution in terms of modulation index (<inline-formula><math display="inline"><semantics><mrow><mi>MI</mi></mrow></semantics></math></inline-formula> ) and input DC source ratio (<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="normal">x</mi><mo>=</mo><mfrac><mrow><msub><mi mathvariant="normal">V</mi><mn>1</mn></msub></mrow><mrow><msub><mi mathvariant="normal">V</mi><mn>2</mn></msub></mrow></mfrac><mo>≤</mo><mn>1</mn></mrow></semantics></math></inline-formula>). The proposed algorithm is tested for a wide range of <inline-formula><math display="inline"><semantics><mrow><mi>MI</mi></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mi mathvariant="normal">x</mi></semantics></math></inline-formula> to verify its feasibility. Moreover, several simulation and laboratory tests are presented to further validate the applicability of the proposed approach.https://www.mdpi.com/1996-1073/13/18/4715DC–AC power conversionmultilevel inverters (MLIs)renewable energy sourcesselective harmonic elimination (SHE)total harmonic distortionunequal DC sources |
| spellingShingle | Mahrous Ahmed Essam Hendawi Basem Alamri Mosleh Alharthi Farhan Salem Mohamed Orabi Saad Mekhilef Sherif Ghoneim Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique Energies DC–AC power conversion multilevel inverters (MLIs) renewable energy sources selective harmonic elimination (SHE) total harmonic distortion unequal DC sources |
| title | Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique |
| title_full | Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique |
| title_fullStr | Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique |
| title_full_unstemmed | Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique |
| title_short | Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique |
| title_sort | classical control for unequal dc sources five level inverter based she technique |
| topic | DC–AC power conversion multilevel inverters (MLIs) renewable energy sources selective harmonic elimination (SHE) total harmonic distortion unequal DC sources |
| url | https://www.mdpi.com/1996-1073/13/18/4715 |
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