静止无功补偿器的自适应逆推无源反馈控制设计

通过将耗散系统理论和自适应逆推(adaptive backstepping)非线性控制算法相结合, 克服了无源反馈方法只能为输入输出相对阶为1的系统设计控制律的限制, 为带有静止无功补偿器的单机无穷大电力系统设计了鲁棒自适应控制器. 设计中兼顾了系统遭受不确定扰动以及阻尼系数难以精确测量情况下控制器的鲁棒性和自适应能力. 理论分析证明所提算法可保证系统内所有状态变量一致有界且渐近稳定, 系统误差全局渐近稳定. 仿真结果也表明, 所提算法使系统母线电压, 发电机功角以及转子角速度的暂态响应性能优于传统逆推算法, 系统误差迅速收敛至零, 与理论证明结果一致.

Adaptive backstepping passivity feedback control design for static volt-ampere reactive compensator

Based on the adaptive backstepping nonlinear control scheme and the dissipative system theory, the robust adaptive nonlinear controller is designed for the single-machine infinite-bus (SMIB) power system with static volt-ampere reactive (VAR) compensator (SVC), which eliminates the requirement of unity relative-degree in the passivity feedback scheme. In the design procedure, the uncertain disturbances and the uncertainty of damping coefficient are taken into account simultaneously. The theoretical analysis shows that all the states in the system are uniformly bounded and asymptotically stable, while the system errors are globally asymptotically stable. Simulation results show that the proposed method outperforms the classical backstepping method in the transient responses of bus voltage, generator power angle and angular velocity. System errors approach to zero rapidly, which is consistent with the theoretical analysis.