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First, a stochastic dynamics model of doubly\u2010fed wind farm is established by considering variation impedance variation. Second, using the polynomial approximation theory, the wind farm model containing stochastic parameters is approximated for analysis as an equivalent deterministic model. Finally, based on the approximated deterministic model, the grid\u2010connected stability of wind farms with different impedance fluctuation strengths is investigated, and the stable operation interval of the wind farms affected by the impedance is determined. The simulation results show that when the stochastic intensity exceeds a certain threshold, Hopf bifurcation occurs during the voltage and turndown, and the system is destabilized. This study provides a theoretical basis for the stability of offshore wind power.<\/jats:p>","DOI":"10.1002\/cta.4130","type":"journal-article","created":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T07:51:08Z","timestamp":1718351468000},"page":"902-914","update-policy":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Stochastic stability analysis method for offshore doubly\u2010fed wind power systems considering frequency variation of power cable parameters"],"prefix":"10.1002","volume":"53","author":[{"given":"Wei","family":"Chen","sequence":"first","affiliation":[{"name":"College of Electrical and Information Engineering Lanzhou University of Technology  Lanzhou Gansu China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/https\/orcid.org\/0009-0004-9485-8653","authenticated-orcid":false,"given":"Bo","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Lanzhou University of Technology  Lanzhou Gansu China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhanhong","family":"Wei","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Lanzhou University of Technology  Lanzhou Gansu China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/https\/orcid.org\/0000-0002-7523-7235","authenticated-orcid":false,"given":"Qiangqiang","family":"Li","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Lanzhou University of Technology  Lanzhou Gansu China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wang","family":"Kun","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Lanzhou University of Technology  Lanzhou Gansu China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2024,6,14]]},"reference":[{"issue":"21","key":"e_1_2_8_2_1","first-page":"85","article-title":"Mechanism analysis and mitigation of harmonic resonance amplification caused by AC integration of offshore wind farm","volume":"45","author":"Zheng X","year":"2021","journal-title":"Autom. 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