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This paper presents a comprehensive mathematical modeling approach for turbo-generators, encompassing the governor system, turbine prime mover, shaft system, and synchronous generator. A 16th-order state-space model is derived, and eigenvalue analysis is conducted to reveal the existence and physical mechanisms of sub-synchronous torsional modes with low damping. Based on linear system theory, the state-space model is transformed into a d-q axis port impedance model, which is further decoupled into sequence impedances by coordinate transformation, explicitly considering frequency coupling effects between positive and negative sequences. Finally, using IEEE standard parameters, frequency-scan validation of the positive-sequence port impedance is carried out on an electromagnetic simulation platform. The results demonstrate a high degree of agreement between the theoretical model and simulation across the entire frequency range, confirming the validity of the proposed model and analytical method. This work provides a theoretical foundation and engineering reference for sub-synchronous oscillation analysis and impedance-based stability assessment of turbo-generators.

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Eigenvalue Analysis and Sequence Impedance Modeling of Turbo-Generators

  • 会议论文

  • 发表日期：

    2026年

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  • Pengfei Zhang,
  • Jiandong Duan,
  • Yuhui Li,
  • Tiancheng Mu,
  • Bo Shao

摘要

This paper presents a comprehensive mathematical modeling approach for turbo-generators, encompassing the governor system, turbine prime mover, shaft system, and synchronous generator. A 16th-order state-space model is derived, and eigenvalue analysis is conducted to reveal the existence and physical mechanisms of sub-synchronous torsional modes with low damping. Based on linear system theory, the state-space model is transformed into a d-q axis port impedance model, which is further decoupled into sequence impedances by coordinate transformation, explicitly considering frequency coupling effects between positive and negative sequences. Finally, using IEEE standard parameters, frequency-scan validation of the positive-sequence port impedance is carried out on an electromagnetic simulation platform. The results demonstrate a high degree of agreement between the theoretical model and simulation across the entire frequency range, confirming the validity of the proposed model and analytical method. This work provides a theoretical foundation and engineering reference for sub-synchronous oscillation analysis and impedance-based stability assessment of turbo-generators.