AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models
Switching models possess discontinuous and nonlinear behavior, rendering difficulties in simulations in terms of time consumption and computational complexity, leading to mathematical instability and an increase in its vulnerability to errors. This issue can be countered by averaging detailed models...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-03-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/11/3/550 |
| _version_ | 1811187578910539776 |
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| author | Shahbaz Khan Xiaobin Zhang Bakht Muhammad Khan Husan Ali Haider Zaman Muhammad Saad |
| author_facet | Shahbaz Khan Xiaobin Zhang Bakht Muhammad Khan Husan Ali Haider Zaman Muhammad Saad |
| author_sort | Shahbaz Khan |
| collection | DOAJ |
| description | Switching models possess discontinuous and nonlinear behavior, rendering difficulties in simulations in terms of time consumption and computational complexity, leading to mathematical instability and an increase in its vulnerability to errors. This issue can be countered by averaging detailed models over the entire switching period. An attempt is made for deriving improved dynamic average models of three phase (six-pulse) and nine phase (18-pulse) diode rectifiers by approximating load current through first order Taylor series. Small signal AC/DC impedances transfer functions of the average models are obtained using a small signal current injection technique in Simulink, while transfer functions are obtained through identification of the frequency response into the second order system. For the switch models in Simulink and the experimental setup, a small signal line to line shunt current injection technique is used and the obtained frequency response is then identified into second order systems. Sufficient matching among these results proves the validity of the modelling procedure. Exact impedances of the integral parts, in interconnected AC/DC/AC systems, are required for determining the stability through input-output impedances. |
| first_indexed | 2024-04-11T14:04:48Z |
| format | Article |
| id | doaj.art-5f99abb86a024255a5c11d8102eb49c6 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T14:04:48Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-5f99abb86a024255a5c11d8102eb49c62022-12-22T04:19:55ZengMDPI AGEnergies1996-10732018-03-0111355010.3390/en11030550en11030550AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical ModelsShahbaz Khan0Xiaobin Zhang1Bakht Muhammad Khan2Husan Ali3Haider Zaman4Muhammad Saad5School of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Traffic and Control Signal, Chang’an University, Xi’an 710072, ChinaSwitching models possess discontinuous and nonlinear behavior, rendering difficulties in simulations in terms of time consumption and computational complexity, leading to mathematical instability and an increase in its vulnerability to errors. This issue can be countered by averaging detailed models over the entire switching period. An attempt is made for deriving improved dynamic average models of three phase (six-pulse) and nine phase (18-pulse) diode rectifiers by approximating load current through first order Taylor series. Small signal AC/DC impedances transfer functions of the average models are obtained using a small signal current injection technique in Simulink, while transfer functions are obtained through identification of the frequency response into the second order system. For the switch models in Simulink and the experimental setup, a small signal line to line shunt current injection technique is used and the obtained frequency response is then identified into second order systems. Sufficient matching among these results proves the validity of the modelling procedure. Exact impedances of the integral parts, in interconnected AC/DC/AC systems, are required for determining the stability through input-output impedances.http://www.mdpi.com/1996-1073/11/3/550switching modelsTaylor seriesstabilitytransfer functionsshunt current injection |
| spellingShingle | Shahbaz Khan Xiaobin Zhang Bakht Muhammad Khan Husan Ali Haider Zaman Muhammad Saad AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models Energies switching models Taylor series stability transfer functions shunt current injection |
| title | AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models |
| title_full | AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models |
| title_fullStr | AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models |
| title_full_unstemmed | AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models |
| title_short | AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models |
| title_sort | ac and dc impedance extraction for 3 phase and 9 phase diode rectifiers utilizing improved average mathematical models |
| topic | switching models Taylor series stability transfer functions shunt current injection |
| url | http://www.mdpi.com/1996-1073/11/3/550 |
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