考虑最优负荷削减方向的电网多目标分层随机机会约束规划

提出了一种含机会约束的电网多目标分层随机规划模型。以最优负荷削减量和电压稳定裕度乐观值为上层优化目标、网络损耗期望值为下层优化目标。用最危险负荷增长模式计算静态最小电压稳定裕度,并提出了计算最优负荷削减方向的方法。将最优负荷削减方向作为约束条件之一,采用基于拉丁超立方抽样的蒙特卡洛模拟嵌入非支配排序遗传算法求解含机会约束的多目标分层优化模型。基于IEEE 39节点系统仿真,结果表明所提方法在保证经济性的同时,能够有效提高电网安全水平和电压稳定裕度。

Multi-objective hierarchical stochastic chance-constrained programming considering optimal load-shedding direction

A multi-objective hierarchical stochastic programming model with chance constraints is proposed, which takes the optimal shedding load and the optimistic voltage-stability margin as the upper-level objectives and the network loss expectation as the lower-level objective. The minimum static voltage-stability margin is calculated in the most dangerous load growth mode. A method is proposed to calculate the optimal load shedding direction, which is taken as a constraint. The non-dominated sorting genetic algorithm combined with Latin hypercube sampling-based Monte Carlo simulation is applied to solve the proposed model. The simulative results of IEEE 39-bus system show that, with ensured economy, the proposed method can improve the network security and voltage stability margin effectively.