考虑风电不确定性的电热综合系统分布鲁棒协调优化调度模型
A Distributionally Robust Coordinated Dispatch Model for Integrated Electricity and Heating Systems Considering Uncertainty of Wind Power
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摘要: 目前,弃风现象仍是制约风电发展的主要因素,且风电具有较强的不确定性,而传统随机规划和鲁棒优化方法均不同程度上存在片面、保守和经济性问题,基于此,该文提出了考虑风电不确定性的电热综合系统分布鲁棒协调优化调度模型。首先,搭建以热电联产机组和电锅炉为耦合单元,以常规机组发电成本、热电联产机组发电成本和弃风成本为综合优化目标,电功率平衡、热功率平衡、最小开停机等为约束条件的确定性热电协调优化调度模型;其次,以调度系统可用的风电出力历史数据为基础,构建数据驱动下的分布鲁棒两阶段优化调度模型,模型第一阶段目标中不仅考虑了机组开停机成本,还融合风电预测场景信息,制定出更具经济性的日前调度计划,第二阶段综合考虑1-范数和∞-范数约束不确定性概率分布置信集合,寻找到最恶劣概率分布下的模型最优解,并采用列与约束生成(column-and-constraint generation,CCG)算法进行求解。最后,采用IEEE39节点算例验证了模型对风电消纳的提升效果和分布鲁棒模型的有效性。Abstract: Currently, the wind power development is mainly constrained by the phenomenon of wind curtailment. Also, the traditional uncertainty modeling methods(e.g. stochastic programming and robust optimization) may result in conservative or uneconomic decisions in dealing with the wind power uncertainties. Based on challenges mentioned above, a distributional robust coordinated dispatch model for integrated electricity and heating system considering uncertainty of wind power was proposed in this paper. First, a deterministic coordinated dispatch model of the integrated system was presented, which regarded generation cost for traditional units and combined heating power(CHP) units and curtailment cost of wind power as its optimization target, and contained the constraints such as power balance, heating balance, minimum ON/OFF time. Then, on the basis of the existing huge historical data in the SCADA/EMS system, a data-driven based two-stage distributional robust dispatch model was formulated with wind power uncertainty considered. In the first stage of the two-stage model, the objective function included not only the start-up and shut-down cost of the traditional generation units but also the corresponding cost associated with the forecast wind power scenario. This treatment method can help to obtain a more economical dispatch planning strategy. In the second stage, norm-1 and norm-inf were simultaneously included to constrain the confidence set of wind power probability distribution in order to find the optimal solution under the worst probability distribution. And, the distributional robust model was solved by the Column-and-Constraint Generation algorithm. Finally, the numerical results on the IEEE 39 bus system verify the effectiveness of the proposed model.