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Optimization to POD parameters of DFIGs based on the 2nd order eigenvalue sensitivity of power systems
Author(s) -
Li Shenghu,
Zhang Hao,
Li Yikai
Publication year - 2021
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/gtd2.12090
Subject(s) - eigenvalues and eigenvectors , sensitivity (control systems) , control theory (sociology) , oscillation (cell signaling) , robustness (evolution) , mathematics , induction generator , eigenvalue perturbation , electric power system , mathematical optimization , power (physics) , computer science , physics , engineering , electronic engineering , biochemistry , chemistry , control (management) , quantum mechanics , artificial intelligence , biology , gene , genetics
Here, the analytical model of the 2nd order eigenvalue sensitivity is improved, and applied to optimize the parameters of the power oscillation dampers of the doubly‐fed induction generators. To solve the 2nd order eigenvalue sensitivity, the eigenvector sensitivity is required whose difficulty lies in insufficient constraints, for which two constraints about the magnitude and the angle of eigenvector elements are newly introduced, and the normalization conditions are derived to solve the eigenvector sensitivity. The 2nd order eigenvalue sensitivity is applied to analyse the change of the low‐frequency oscillation modes with the varying of parameters in the power systems with the doubly‐fed induction generators. To improve the low‐frequency oscillation modes, the optimization model of the power oscillation damper parameters is newly formulated based on the 1st and the 2nd order eigenvalue sensitivities and solved by the interior point method. The numerical results are provided to verify the effectiveness of the constraints proposed; the advantages of the 2nd order eigenvalue sensitivity in the eigen‐analysis and parameters optimization, and the robustness against wind fluctuation.

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