This paper addresses the economic dispatch problem in microgrids with multi-entities and uncertainties. A novel robust bilayer distributed optimization (BDO) method is put forward to coordinate the individual and collective profits. In the upper-layer of the BDO model, each entity in the microgrids develops a two-stage recourse-based robust dispatch model that minimizes the individual operation cost. This robust model determines the objectives and schemes in both the basic and worst-case scenarios, and provides more practical optimal schedules. According to the generation margin and load curtailment in each entity, a multi-objective bargain dispatch is conducted in the lower-layer coordinating center to co-optimize the tie-line plans, thus getting the lowest collective cost in a cooperative manner through regional power complementarity. An iterative descent algorithm is put forward for the efficient solution of the nonconvex BDO model. Therein a nested column and constraint generation algorithm with equilibrium constraints is developed to tackle the upper-layer robust optimization problems with binary recourses and non-independent uncertainties. The lower-layer bargain model is refined as a mixed-integer linear programming via a complementarity approach for the cooperation of multi-entities. Numerical results of case studies demonstrate the availability and superiority of the robust BDO method and the solution algorithm.

中文翻译：

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个人-集体利润耦合的稳健微电网调度的双层分布式优化


本文研究了具有多实体和不确定性的微电网中的经济调度问题。提出了一种新颖的鲁棒双层分布式优化（BDO）方法来协调个体和集体的利益。在BDO模型的上层，微电网中的每个实体都开发了一个基于两阶段资源的鲁棒调度模型，最大限度地降低了个体运营成本。这个稳健的模型确定了基本和最坏情况下的目标和方案，并提供了更实用的最优时间表。根据各实体的发电裕度和限电情况，在下级协调中心进行多目标讨价还价调度，共同优化联络线规划，通过区域电力协同获得最低的集体成本互补性。针对非凸BDO模型的高效求解，提出了迭代下降算法。其中开发了一种具有平衡约束的嵌套列和约束生成算法来解决具有二元资源和非独立不确定性的上层鲁棒优化问题。通过多实体合作的互补方法，将下层讨价还价模型细化为混合整数线性规划。案例研究的数值结果证明了鲁棒BDO方法和求解算法的可用性和优越性。