A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters
The parameters of DC-DC converters in a cascaded converters system are often set up separately, which may cause instability or even breakdown of the whole system. The traditional Middlebrook impedance stability criterion and Nyquist criterion are based on the small-signal model, where the nonlinear...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Open Journal of the Industrial Electronics Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9832757/ |
| _version_ | 1817995500429770752 |
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| author | Hong Li Qian Liu Zhipeng Zhang Chen Liu Zhong Li Zhichang Yang Trillion Q. Zheng |
| author_facet | Hong Li Qian Liu Zhipeng Zhang Chen Liu Zhong Li Zhichang Yang Trillion Q. Zheng |
| author_sort | Hong Li |
| collection | DOAJ |
| description | The parameters of DC-DC converters in a cascaded converters system are often set up separately, which may cause instability or even breakdown of the whole system. The traditional Middlebrook impedance stability criterion and Nyquist criterion are based on the small-signal model, where the nonlinear links are ignored or linearized, which, however leads to inaccurate modeling, and the difficulty for analytically obtaining stability range. In this paper, the nonlinear links, i.e., pulse width modulation links, of cascaded DC-DC converters system are first modeled by the describing function (DF); then, a novel stability analysis method for the cascaded DC-DC converters system is proposed by combining the impedance analysis method, Nyquist criterion and DF to accurately determine the stability range of the cascaded converters system. Since the DF method is only used into single converter so far for stability analysis, a source/load converter equivalent method is proposed in this paper to apply DF method into the cascaded converters. To this end, the two-stage cascaded boost converters systems with and without considering the parasitic parameters are taken as examples to conduct the simulation and experiment for verifying the correctness and the accuracy of the proposed DF-based stability analysis method. This work provides an analytical method to determine not only the stable and unstable ranges but also the critical stability range of the cascaded system, as well as provides a reference to quantificationally design the control parameters. |
| first_indexed | 2024-04-14T02:08:01Z |
| format | Article |
| id | doaj.art-60f370a953a64b0eb9946d6c62419dab |
| institution | Directory Open Access Journal |
| issn | 2644-1284 |
| language | English |
| last_indexed | 2024-04-14T02:08:01Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of the Industrial Electronics Society |
| spelling | doaj.art-60f370a953a64b0eb9946d6c62419dab2022-12-22T02:18:36ZengIEEEIEEE Open Journal of the Industrial Electronics Society2644-12842022-01-01348449510.1109/OJIES.2022.31919069832757A Describing Function-Based Stability Analysis Method for Cascaded DC-DC ConvertersHong Li0https://orcid.org/0000-0002-8117-8980Qian Liu1https://orcid.org/0000-0003-3442-1930Zhipeng Zhang2Chen Liu3https://orcid.org/0000-0002-3750-0581Zhong Li4Zhichang Yang5https://orcid.org/0000-0003-1481-696XTrillion Q. Zheng6https://orcid.org/0000-0002-2494-8440School of Electrical Engineering, Beijing Jiaotong University, Beijing, ChinaSchool of Electrical Engineering, Beijing Jiaotong University, Beijing, ChinaSchool of Electrical Engineering, Beijing Jiaotong University, Beijing, ChinaState Grid Langfang Power Supply Company, Hebei, ChinaSchool of Mathematics and Statistics, Minnan Normal University, Zhangzhou, ChinaState Grid Smart Grid Research Institute Company, Ltd., Beijing, ChinaSchool of Electrical Engineering, Beijing Jiaotong University, Beijing, ChinaThe parameters of DC-DC converters in a cascaded converters system are often set up separately, which may cause instability or even breakdown of the whole system. The traditional Middlebrook impedance stability criterion and Nyquist criterion are based on the small-signal model, where the nonlinear links are ignored or linearized, which, however leads to inaccurate modeling, and the difficulty for analytically obtaining stability range. In this paper, the nonlinear links, i.e., pulse width modulation links, of cascaded DC-DC converters system are first modeled by the describing function (DF); then, a novel stability analysis method for the cascaded DC-DC converters system is proposed by combining the impedance analysis method, Nyquist criterion and DF to accurately determine the stability range of the cascaded converters system. Since the DF method is only used into single converter so far for stability analysis, a source/load converter equivalent method is proposed in this paper to apply DF method into the cascaded converters. To this end, the two-stage cascaded boost converters systems with and without considering the parasitic parameters are taken as examples to conduct the simulation and experiment for verifying the correctness and the accuracy of the proposed DF-based stability analysis method. This work provides an analytical method to determine not only the stable and unstable ranges but also the critical stability range of the cascaded system, as well as provides a reference to quantificationally design the control parameters.https://ieeexplore.ieee.org/document/9832757/Stability analysis methodcascaded DC-DC convertersdescribing function |
| spellingShingle | Hong Li Qian Liu Zhipeng Zhang Chen Liu Zhong Li Zhichang Yang Trillion Q. Zheng A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters IEEE Open Journal of the Industrial Electronics Society Stability analysis method cascaded DC-DC converters describing function |
| title | A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters |
| title_full | A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters |
| title_fullStr | A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters |
| title_full_unstemmed | A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters |
| title_short | A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters |
| title_sort | describing function based stability analysis method for cascaded dc dc converters |
| topic | Stability analysis method cascaded DC-DC converters describing function |
| url | https://ieeexplore.ieee.org/document/9832757/ |
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