Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions
The article proposes a nonlinear current control system of reluctance synchronous machines (RSMs) in combination with analytical flux linkage prototype functions. For highly nonlinear machines, such as RSMs, the magnetic characteristics change significantly throughout the whole operation range due t...
| 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/9896947/ |
| _version_ | 1811238217381314560 |
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| author | Shih-Wei Su Hannes Borngen Christoph M. Hackl Ralph Kennel |
| author_facet | Shih-Wei Su Hannes Borngen Christoph M. Hackl Ralph Kennel |
| author_sort | Shih-Wei Su |
| collection | DOAJ |
| description | The article proposes a nonlinear current control system of reluctance synchronous machines (RSMs) in combination with analytical flux linkage prototype functions. For highly nonlinear machines, such as RSMs, the magnetic characteristics change significantly throughout the whole operation range due to saturation and cross-coupling effects. Therefore, the current controller tuning must be adapted online to achieve a fast and accurate tracking performance. The proposed current controllers are derived based on the system theoretic concept of the exact input/output (I/O) linearization of the current dynamics. Thus, the nonlinear control system is simplified to an integrator which, in combination of proportional–integral controllers, can be tuned by means of pole placement similar to a phase-locked loop. For I/O linearization and control, the magnetic saturation and cross-coupling effects in the flux linkages and the differential inductances must be considered which is done by the utilization of analytical flux linkage prototype functions instead of lookup tables. The performance of the developed nonlinear current control system is validated by both, simulation and experimental results, for a highly nonlinear <inline-formula><tex-math notation="LaTeX">$1.5 \,\mathrm{k}\mathrm{W}$</tex-math></inline-formula> RSM. The results underpin 1) the very high approximation accuracy and the continuity and differentiability of the flux linkage prototype functions over the whole operation range and 2) the very fast and accurate tracking performance of the nonlinear I/O control system. |
| first_indexed | 2024-04-12T12:37:56Z |
| format | Article |
| id | doaj.art-eea0ba82edcf4da8a28dbb8a99dcb56b |
| institution | Directory Open Access Journal |
| issn | 2644-1284 |
| language | English |
| last_indexed | 2024-04-12T12:37:56Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of the Industrial Electronics Society |
| spelling | doaj.art-eea0ba82edcf4da8a28dbb8a99dcb56b2022-12-22T03:32:51ZengIEEEIEEE Open Journal of the Industrial Electronics Society2644-12842022-01-01358259310.1109/OJIES.2022.32083299896947Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype FunctionsShih-Wei Su0https://orcid.org/0000-0002-4787-670XHannes Borngen1Christoph M. Hackl2https://orcid.org/0000-0001-5829-6818Ralph Kennel3https://orcid.org/0000-0003-4997-0043Chair of High-Power Converter Systems, Technical University of Munich, Munich, GermanyChair of High-Power Converter Systems, Technical University of Munich, Munich, GermanyDepartment of Electrical Engineering and Information Technology, Munich University of Applied Sciences, Munich, GermanyChair of High-Power Converter Systems, Technical University of Munich, Munich, GermanyThe article proposes a nonlinear current control system of reluctance synchronous machines (RSMs) in combination with analytical flux linkage prototype functions. For highly nonlinear machines, such as RSMs, the magnetic characteristics change significantly throughout the whole operation range due to saturation and cross-coupling effects. Therefore, the current controller tuning must be adapted online to achieve a fast and accurate tracking performance. The proposed current controllers are derived based on the system theoretic concept of the exact input/output (I/O) linearization of the current dynamics. Thus, the nonlinear control system is simplified to an integrator which, in combination of proportional–integral controllers, can be tuned by means of pole placement similar to a phase-locked loop. For I/O linearization and control, the magnetic saturation and cross-coupling effects in the flux linkages and the differential inductances must be considered which is done by the utilization of analytical flux linkage prototype functions instead of lookup tables. The performance of the developed nonlinear current control system is validated by both, simulation and experimental results, for a highly nonlinear <inline-formula><tex-math notation="LaTeX">$1.5 \,\mathrm{k}\mathrm{W}$</tex-math></inline-formula> RSM. The results underpin 1) the very high approximation accuracy and the continuity and differentiability of the flux linkage prototype functions over the whole operation range and 2) the very fast and accurate tracking performance of the nonlinear I/O control system.https://ieeexplore.ieee.org/document/9896947/Analytical flux linkage prototype functionsnonlinear current controlreluctance synchronous machine (RSM)saturation effects |
| spellingShingle | Shih-Wei Su Hannes Borngen Christoph M. Hackl Ralph Kennel Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions IEEE Open Journal of the Industrial Electronics Society Analytical flux linkage prototype functions nonlinear current control reluctance synchronous machine (RSM) saturation effects |
| title | Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions |
| title_full | Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions |
| title_fullStr | Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions |
| title_full_unstemmed | Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions |
| title_short | Nonlinear Current Control of Reluctance Synchronous Machines With Analytical Flux Linkage Prototype Functions |
| title_sort | nonlinear current control of reluctance synchronous machines with analytical flux linkage prototype functions |
| topic | Analytical flux linkage prototype functions nonlinear current control reluctance synchronous machine (RSM) saturation effects |
| url | https://ieeexplore.ieee.org/document/9896947/ |
| work_keys_str_mv | AT shihweisu nonlinearcurrentcontrolofreluctancesynchronousmachineswithanalyticalfluxlinkageprototypefunctions AT hannesborngen nonlinearcurrentcontrolofreluctancesynchronousmachineswithanalyticalfluxlinkageprototypefunctions AT christophmhackl nonlinearcurrentcontrolofreluctancesynchronousmachineswithanalyticalfluxlinkageprototypefunctions AT ralphkennel nonlinearcurrentcontrolofreluctancesynchronousmachineswithanalyticalfluxlinkageprototypefunctions |