access icon free Non-linear modelling and stability analysis of the PTGS at pump mode

For the sake of studying the stability of the pumped storage power station, the authors focused on the mathematical modelling of the pump-turbine governing system (PTGS) at pump mode. First of all, six transfer coefficients were introduced into the model of the pump-turbine. Furthermore, utilising the internal characteristics formulas, they obtained six analytical expressions of the transfer coefficients at pump mode. Considering the elastic water-hammer model of the penstock with hydraulic friction and the second-order model of the generator, a non-linear model of the PTGS was proposed. On the basis of a real case, they obtained the curve of bifurcation points of the system by using the stability theorem, and verified the correctness of the theoretical analysis results from numerical experiments. Moreover, the stable domains of the proportional–integral–derivative parameters and were identified and the non-linear dynamic behaviours of the governing system were studied. Finally, these methods and analytic results could help them improve the safety operation and performance of the pumped storage power station.

Inspec keywords: pumped-storage power stations; bifurcation; three-term control; hydraulic turbines; turbogenerators; power system stability; nonlinear dynamical systems; power generation control

Other keywords: transfer coefficients; proportional-integral-derivative parameters; pumped storage power station; pump-turbine governing system; mathematical modelling; hydraulic friction; nonlinear dynamic behaviours; nonlinear modelling; PTGS; stability analysis; safety operation; elastic water-hammer model; penstock; bifurcation points; pump mode; second-order model

Subjects: Stability in control theory; a.c. machines; Nonlinear control systems; Power system control; Pumped storage stations and plants; Control of electric power systems

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