Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary
The operating point of wind farms changes in a wide range, leading to diverse performances of small-signal stability. The mapping between the stability index and the operating point is complex. It is challenging to quantify the stability region, especially in multiple parameter space. Furthermore, o...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-08-01
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| Series: | International Journal of Electrical Power & Energy Systems |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0142061525003394 |
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| author | Jia Luo Peng Wang Haoran Zhao Yonghan Liu Vladimir Terzija |
| author_facet | Jia Luo Peng Wang Haoran Zhao Yonghan Liu Vladimir Terzija |
| author_sort | Jia Luo |
| collection | DOAJ |
| description | The operating point of wind farms changes in a wide range, leading to diverse performances of small-signal stability. The mapping between the stability index and the operating point is complex. It is challenging to quantify the stability region, especially in multiple parameter space. Furthermore, online identification of the stability is necessary since the gird impedance is changing in practical systems. Following the piecewise affine impedance in part I, part II proposes an online method for constructing the high-dimensional stability region of the operating point, thereby filling the gap in this field. Firstly, using the concept of the piecewise affine, the grid impedance is identified with the dynamic mode decomposition method in frequency range partitions. Based on the first-order affine impedance of wind turbine generators and the grid, the nodal admittance matrix is established with high accuracy and efficiency. By solving the zeros of the nodal admittance matrix, the stability margins of the system at different operating points are obtained. Secondly, based on stability margin data at diverse operating points, a k-nearest neighbor support vector machine is proposed to quantify the multi-parameter stability region. The stability region is formed with boundaries of different stability margins. Thirdly, the proposed stability region could help to enlarge the stability margin by regulating the operating point. The grid impedance identification and stability region estimation are instantiated and validated for grid-tied wind farms by numerical simulations and experiments. |
| format | Article |
| id | doaj-art-8587f1193e3645cc9611088e03d2e87d |
| institution | DOAJ |
| issn | 0142-0615 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Electrical Power & Energy Systems |
| spelling | doaj-art-8587f1193e3645cc9611088e03d2e87d2025-08-20T03:21:39ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-08-0116911079110.1016/j.ijepes.2025.110791Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundaryJia Luo0Peng Wang1Haoran Zhao2Yonghan Liu3Vladimir Terzija4School of Electrical Engineering, Shandong University, Jinan, 250061, ChinaSchool of Electrical Engineering, Shandong University, Jinan, 250061, China; Corresponding author.School of Electrical Engineering, Shandong University, Jinan, 250061, ChinaSchool of Electrical Engineering, Shandong University, Jinan, 250061, ChinaSchool of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UKThe operating point of wind farms changes in a wide range, leading to diverse performances of small-signal stability. The mapping between the stability index and the operating point is complex. It is challenging to quantify the stability region, especially in multiple parameter space. Furthermore, online identification of the stability is necessary since the gird impedance is changing in practical systems. Following the piecewise affine impedance in part I, part II proposes an online method for constructing the high-dimensional stability region of the operating point, thereby filling the gap in this field. Firstly, using the concept of the piecewise affine, the grid impedance is identified with the dynamic mode decomposition method in frequency range partitions. Based on the first-order affine impedance of wind turbine generators and the grid, the nodal admittance matrix is established with high accuracy and efficiency. By solving the zeros of the nodal admittance matrix, the stability margins of the system at different operating points are obtained. Secondly, based on stability margin data at diverse operating points, a k-nearest neighbor support vector machine is proposed to quantify the multi-parameter stability region. The stability region is formed with boundaries of different stability margins. Thirdly, the proposed stability region could help to enlarge the stability margin by regulating the operating point. The grid impedance identification and stability region estimation are instantiated and validated for grid-tied wind farms by numerical simulations and experiments.http://www.sciencedirect.com/science/article/pii/S0142061525003394Dynamic mode decompositionImpedance modelMachine learningSmall-signal stabilityWind farm |
| spellingShingle | Jia Luo Peng Wang Haoran Zhao Yonghan Liu Vladimir Terzija Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary International Journal of Electrical Power & Energy Systems Dynamic mode decomposition Impedance model Machine learning Small-signal stability Wind farm |
| title | Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary |
| title_full | Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary |
| title_fullStr | Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary |
| title_full_unstemmed | Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary |
| title_short | Online identification of stability region for large-scale wind farms, Part II: Construction of stability region boundary |
| title_sort | online identification of stability region for large scale wind farms part ii construction of stability region boundary |
| topic | Dynamic mode decomposition Impedance model Machine learning Small-signal stability Wind farm |
| url | http://www.sciencedirect.com/science/article/pii/S0142061525003394 |
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