Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions
When three-phase voltages are polluted with unbalance, DC offsets, or higher harmonics, it is a challenge to quickly detect their parameters such as phases, frequency, and amplitudes. This paper proposes a phase-locked loop (PLL) for the three-phase non-ideal voltages based on the decoupling network...
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| Format: | Article |
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MDPI AG
2020-04-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/9/4/674 |
| _version_ | 1797570184093892608 |
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| author | Guangjun Tan Chunan Zong Xiaofeng Sun |
| author_facet | Guangjun Tan Chunan Zong Xiaofeng Sun |
| author_sort | Guangjun Tan |
| collection | DOAJ |
| description | When three-phase voltages are polluted with unbalance, DC offsets, or higher harmonics, it is a challenge to quickly detect their parameters such as phases, frequency, and amplitudes. This paper proposes a phase-locked loop (PLL) for the three-phase non-ideal voltages based on the decoupling network composed of two submodules. One submodule is used to detect the parameters of the fundamental and direct-current voltages based on Tan-Sun transformation, and the other is used to detect the parameters of the higher-harmonic voltages based on Clarke transformation. By selecting the proper decoupling vector by mapping Hilbert space to Euclidean space, the decoupling control for each estimated parameter can be realized. The settling time of the control law can be set the same for each estimated parameter to further improve the response speed of the whole PLL system. The system order equals the number of the estimated parameters in each submodule except that a low-pass filter is required to estimate the average amplitude of the fundamental voltages, so the whole PLL structure is very simple. The simulation and experimental results are provided in the end to validate the effectiveness of the proposed PLL technique in terms of the steady and transient performance. |
| first_indexed | 2024-03-10T20:21:18Z |
| format | Article |
| id | doaj.art-6f88d007292540cb9eb70003f02e4361 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T20:21:18Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-6f88d007292540cb9eb70003f02e43612023-11-19T22:10:30ZengMDPI AGElectronics2079-92922020-04-019467410.3390/electronics9040674Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid ConditionsGuangjun Tan0Chunan Zong1Xiaofeng Sun2School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaSchool of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaSchool of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaWhen three-phase voltages are polluted with unbalance, DC offsets, or higher harmonics, it is a challenge to quickly detect their parameters such as phases, frequency, and amplitudes. This paper proposes a phase-locked loop (PLL) for the three-phase non-ideal voltages based on the decoupling network composed of two submodules. One submodule is used to detect the parameters of the fundamental and direct-current voltages based on Tan-Sun transformation, and the other is used to detect the parameters of the higher-harmonic voltages based on Clarke transformation. By selecting the proper decoupling vector by mapping Hilbert space to Euclidean space, the decoupling control for each estimated parameter can be realized. The settling time of the control law can be set the same for each estimated parameter to further improve the response speed of the whole PLL system. The system order equals the number of the estimated parameters in each submodule except that a low-pass filter is required to estimate the average amplitude of the fundamental voltages, so the whole PLL structure is very simple. The simulation and experimental results are provided in the end to validate the effectiveness of the proposed PLL technique in terms of the steady and transient performance.https://www.mdpi.com/2079-9292/9/4/674phase-locked loopnon-ideal voltagesTan-Sun transformationHilbert spaceEuclidean spacedecoupling control |
| spellingShingle | Guangjun Tan Chunan Zong Xiaofeng Sun Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions Electronics phase-locked loop non-ideal voltages Tan-Sun transformation Hilbert space Euclidean space decoupling control |
| title | Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions |
| title_full | Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions |
| title_fullStr | Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions |
| title_full_unstemmed | Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions |
| title_short | Tan-Sun Transformation-Based Phase-Locked Loop in Detection of the Grid Synchronous Signals under Distorted Grid Conditions |
| title_sort | tan sun transformation based phase locked loop in detection of the grid synchronous signals under distorted grid conditions |
| topic | phase-locked loop non-ideal voltages Tan-Sun transformation Hilbert space Euclidean space decoupling control |
| url | https://www.mdpi.com/2079-9292/9/4/674 |
| work_keys_str_mv | AT guangjuntan tansuntransformationbasedphaselockedloopindetectionofthegridsynchronoussignalsunderdistortedgridconditions AT chunanzong tansuntransformationbasedphaselockedloopindetectionofthegridsynchronoussignalsunderdistortedgridconditions AT xiaofengsun tansuntransformationbasedphaselockedloopindetectionofthegridsynchronoussignalsunderdistortedgridconditions |