基于分布鲁棒机会约束的机组组合模型

可再生能源的大量渗透使得传统的机组组合的解决方法不可行,文中主要对含有不确定变量约束的机组组合模型进行研究.将含不确定变量的功率平衡约束松弛为不等式约束,并将该不等式约束与旋转备用约束以及传输极限约束均转化为基于矩信息模糊集的分布鲁棒机会约束模型,采用双边模型处理传输极限约束以提高可靠性;为了使模型便于求解,双边模型采用Bonferroni近似,通过线性化手段将分布鲁棒机会约束机组组合模型转化为混合整数线性规划模型;以假定模糊集中的分布函数具有单峰性的方式降低模型的保守性;应用六机系统的算例验证了所建模型的有效性.

Unit commitment with distributionally robust chance constraints

The massive penetration of renewable energy makes the solution of traditional unit commitment infeasible. The paper mainly studied the model with uncertain variable constraints. Firstly, the power balance constraint with uncertain variables is relaxed into an inequality constraint, and the inequality constraint, the reserve constraint and the transmission line constraint are transformed into a distributionally robust chance constraint model with ambiguity set based on the moment information and the two-sided model is used to deal with the transmission line constraints to improve reliability. In order to make the model traceable, the Bonferroni approximation is used to approximate the two-sided model and the unit commitment model is transformed into a mixed integer linear programming problem by linearization method. The conservativeness of the model is reduced by assuming that the distribution function in the ambiguity set is unimodal. Finally, case analysis of six-bus system and numerical results verified the validity of the proposed model.