Abstract：With the increasing wind turbine generators integrated partially or completely through the converters, the damping capability of the power system is decreased, which will intensify the dynamic interaction among the doubly-fed induction generators (DFIGs) and the synchronous generators (SGs), and yield the power angle oscillation among the SGs. The angular oscillation is usually suppressed by the power system stabilizer (PSS) installed at the SGs. It may also be suppressed by the PSS at the DFIGs, i.e. DFIG-PSS, or by adjusting the control parameters of the DFIGs. The DFIG-PSS is often installed at the outer loop of the rotor-side converter (RSC). The control effect of the RSC may be weakened by the DFIG-PSS. Hence the control parameters of the DFIG-PSS and the RSC are to be optimized together. The parameter optimization based on the eigenvalue analysis is for small disturbances. It does not consider the system nonlinearity and large disturbance, hence is incompetent to suppress the oscillation which is usually quantified by a period of dynamic process. In this paper, a coordinated optimization model to the parameters of the DFIG-PSS and the RSC based on the trajectory sensitivity is newly proposed. The DFIG-PSS is designed to suppress the power angle oscillation by controlling the DFIGs to absorb or release the energy. The dynamic model of power system with the control strategy of the DFIG including the DFIG-PSS is derived. The intermediate variables are introduced to the differential equations to decouple the trajectory sensitivities. The Jacobian matrices of the state variables and the algebraic variables are distinguished to derive the analytical expression of the trajectory sensitivities, which is computationally efficient than deriving the trajectory sensitivities from the parameter perturbation method. Then the gradient information of the objective function with respect to the control parameters is obtained. Based on the location of the DFIG-PSS and the relation of the PI parameters, the control parameters to be optimized are decided. With the gradients, the interior-point method is applied to optimize the parameters of both the DFIG-PSS and the RSC. Based on above algorithm, the Matlab program for the dynamic control and the angular oscillation of the power system with the DFIGs is written by the authors. The simulation results on the 4-SG 2-area test system are given to verify the control effect. It is shown that the relation between the control parameters and the power angle oscillation is quantified by the gradient derived from the analytical expression of the trajectory sensitivity with desirable accuracy. After the optimization, the gain of the outer active power loop of the RSC increases, and the gain of the inner current loop decreases, which help to regulate the output of the DFIG and reduce the risk of the angular oscillation. It is also found that the parameter optimization to both the DFIG-PSS and the RSC has better effect on reducing the amplitude of the power angle difference and accelerating the convergence than optimizing the DFIG-PSS only. The proposed algorithm is beneficial to the wind turbine generators, e.g. the DFIGs, functioning similarly as the SGs and participating into the system stability control. With more and more SGs displaced by the wind turbine generators, the proposed algorithm may be applied to improve the angular and oscillational stability of the power systems.
李生虎, 张亚海, 叶剑桥, 李忆恺, 陶帝文. 基于双馈风电机组控制参数优化的电网功角振荡控制[J]. 电工技术学报, 2023, 38(5): 1325-1338.
Li Shenghu, Zhang Yahai, Ye Jianqiao, Li Yikai, Tao Diwen. Power Angle Oscillation Control of Power Grid Based on Control Parameter Optimization of Doubly-Fed Wind Turbine Generator. Transactions of China Electrotechnical Society, 2023, 38(5): 1325-1338.
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2023, Vol. 38 
