Current Controlled AC/DC Converter and Its Performance—A Mathematical Model
This paper describes a mathematical model of the AC/DC converter. The analytic expressions define fundamental physical variables of the converter and their relations: phase current and voltage, shift angle between these quantities, power factor, and supply voltage <i>U<sub>D</sub>&...
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2025-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/18/2/419 |
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| author | Jan Iwaszkiewicz Piotr Mysiak Adam Muc |
| author_facet | Jan Iwaszkiewicz Piotr Mysiak Adam Muc |
| author_sort | Jan Iwaszkiewicz |
| collection | DOAJ |
| description | This paper describes a mathematical model of the AC/DC converter. The analytic expressions define fundamental physical variables of the converter and their relations: phase current and voltage, shift angle between these quantities, power factor, and supply voltage <i>U<sub>D</sub></i>. The mains voltage is defined as a digitalized sine wave while the current’s wave takes the form of a line segment defined in an appropriate time interval. The model permits the description of two modes of operation: inverter and rectifier. The assumed control method of the converter depends on the successive switching of selected vectors. They are qualified according to the principle of the lowest error between the reference and measured phase current value. The control method is realized by using hysteresis algorithms. Five different algorithm solutions and comparative results are implemented. Several examples of current, voltage, and vectors taken during the simulation and experimental works are executed. |
| format | Article |
| id | doaj-art-a98e614c1d474c8f83a93aa83f318c15 |
| institution | Kabale University |
| issn | 1996-1073 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj-art-a98e614c1d474c8f83a93aa83f318c152025-01-24T13:31:25ZengMDPI AGEnergies1996-10732025-01-0118241910.3390/en18020419Current Controlled AC/DC Converter and Its Performance—A Mathematical ModelJan Iwaszkiewicz0Piotr Mysiak1Adam Muc2Department of Ship Automation, Gdynia Maritime University, Poland Morska St. 83, 81-225 Gdynia, PolandDepartment of Ship Automation, Gdynia Maritime University, Poland Morska St. 83, 81-225 Gdynia, PolandDepartment of Ship Automation, Gdynia Maritime University, Poland Morska St. 83, 81-225 Gdynia, PolandThis paper describes a mathematical model of the AC/DC converter. The analytic expressions define fundamental physical variables of the converter and their relations: phase current and voltage, shift angle between these quantities, power factor, and supply voltage <i>U<sub>D</sub></i>. The mains voltage is defined as a digitalized sine wave while the current’s wave takes the form of a line segment defined in an appropriate time interval. The model permits the description of two modes of operation: inverter and rectifier. The assumed control method of the converter depends on the successive switching of selected vectors. They are qualified according to the principle of the lowest error between the reference and measured phase current value. The control method is realized by using hysteresis algorithms. Five different algorithm solutions and comparative results are implemented. Several examples of current, voltage, and vectors taken during the simulation and experimental works are executed.https://www.mdpi.com/1996-1073/18/2/419current controlvoltage source invertermains invertermathematical modelhysteresis algorithm |
| spellingShingle | Jan Iwaszkiewicz Piotr Mysiak Adam Muc Current Controlled AC/DC Converter and Its Performance—A Mathematical Model Energies current control voltage source inverter mains inverter mathematical model hysteresis algorithm |
| title | Current Controlled AC/DC Converter and Its Performance—A Mathematical Model |
| title_full | Current Controlled AC/DC Converter and Its Performance—A Mathematical Model |
| title_fullStr | Current Controlled AC/DC Converter and Its Performance—A Mathematical Model |
| title_full_unstemmed | Current Controlled AC/DC Converter and Its Performance—A Mathematical Model |
| title_short | Current Controlled AC/DC Converter and Its Performance—A Mathematical Model |
| title_sort | current controlled ac dc converter and its performance a mathematical model |
| topic | current control voltage source inverter mains inverter mathematical model hysteresis algorithm |
| url | https://www.mdpi.com/1996-1073/18/2/419 |
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