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Modeling and stability analysis of turbine governing system of hydropower plant

Modeling and stability analysis of turbine governing system of hydropower plant

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This chapter describes the modeling and stability analysis of turbine governing system of hydropower plant without and with surge tank, respectively. Under the assumptions of isolated operation and rigid water hammer, the linearized complete mathematical model for the hydroturbine governing system of hydropower plant without and with surge tank, which is used for analyzing the transient process and dynamic performance of the turbine governing system under load disturbance, is established. The stability of turbine governing system without and with surge tank is analyzed, which includes the criterion of stability, stable domain and the effects of influencing factors on stability. Finally, according to the homogeneous differential equation of turbine governing system, the analytical formula of critical stable sectional area is deduced.

Chapter Contents:

  • 4.1 Introduction
  • 4.2 Modeling of turbine governing system
  • 4.2.1 Hydraulic submodel
  • 4.2.1.1 Mathematical model of pipeline
  • 4.2.1.2 Mathematical model of surge tank
  • 4.2.2 Mechanic submodel
  • 4.2.2.1 Mathematical model of turbine
  • 4.2.2.2 Mathematical model of governor
  • 4.2.3 Electricity submodel
  • 4.3 Stability analysis of turbine governing system
  • 4.3.1 Basic knowledge of stability of dynamic system
  • 4.3.1.1 Basic concepts of stability
  • 4.3.1.2 Criterion of stability
  • 4.3.2 Stability analysis of turbine governing system without surge tank
  • 4.3.2.1 Derivation of overall transfer function
  • 4.3.2.2 Stable domain of turbine governing system
  • 4.3.2.3 Analysis of influencing factors on stability
  • 4.3.3 Stability analysis of turbine governing system with surge tank
  • 4.3.3.1 Derivation of overall transfer function
  • 4.3.3.2 Stable domain of turbine governing system
  • 4.3.3.3 Analysis of influencing factors on stability
  • 4.3.4 Critical stable sectional area of surge tank
  • 4.4 Conclusions
  • Acknowledgments
  • References

Inspec keywords: power system dynamic stability; differential equations; hydraulic turbines; hydroelectric power stations

Other keywords: stability criterion; homogeneous differential equation; surge tank; hydroturbine governing system; dynamic performance; load disturbance; hydropower plant; turbine governing system modeling; linearized mathematical model; transient process; stability analysis; rigid water hammer

Subjects: Differential equations (numerical analysis); Power system control; Hydroelectric power stations and plants

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