根据模型预测控制的基本原理,以综合考虑控制措施的实施代价和节点电压预测轨迹相对于参考值偏差的二次型性能指标最小为目标,将模型预测切负荷控制中的滚动优化模型描述为具有连续一离散时间的微分-代数方程组约束的最优控制问题。利用混合系统轨迹灵敏度和准稳态仿真技术,求取节点电压相对于控制变量的轨迹灵敏度,从而将滚动优化模型简化为以控制变量增量为独立变量的二次规划模型,既提高了计算效率,又可获得较佳的控制性能。新英格兰10机39节点系统的仿真结果表明,所提方法可行且有效。
According to basic principle of model predictive control, the receding optimization model in model predictive load shedding control was described as an optimal control problem including continuous and discrete time differentialalgebraic equations, whose objective is to minimize the quadric performance index considering both the control cost and the deviation between bus voltage predictive trajectories and their reference values comprehensively. The trajectory sensitivities of bus voltages with respect to control variables were computed by means of employing trajectory sensitivity technique of hybrid systems and quasi-steady-state simulation, and hence this receding optimization model was simplified into a quadratic programming model whose independent variables are increments of control variables. This both enhances computational efficiency and achieves better control performance. Results on New England 10-machine 39-bus system demonstrate feasibility and effectiveness of the proposed method.