考虑风电不确定性的区间经济调度模型及空间分支定界法

发布时间：2019-05-09 17:27

【摘要】：大规模风电接入电网后,其间歇性和随机性使网络注入功率呈现一定的波动性,给传统确定性的经济调度带来了极大的挑战。以区间数形式对不确定量进行刻画和建模后,采用经济调度得到的优化解也呈现为区间形式。为精确求解区间上下边界(乐观解和悲观解),将区间优化模型转化为两个确定性的数学规划问题:乐观优化模型为一个简单的线性规划问题,而悲观优化模型为一个NP难问题,根据对偶定理,进一步将该模型转化为一个双线性规划模型,基于线性松弛技术和空间分支定界方法,可以找到该模型的全局最优解。含不确定注入的区间经济调度为调度运行人员提供了直观的上下界信息,为安全评估提供支撑。最后,采用15机300节点系统,分别以日前计划和日内滚动计划为例,并与内点法和穷举法进行对比,结果验证了该方法的有效性。
[Abstract]:After the large-scale wind power is connected to the power grid, the network injection power presents certain volatility during the intermittent and randomness, which brings great challenge to the traditional deterministic economic scheduling. After describing and modeling the uncertainty in the form of interval number, the optimal solution obtained by economic scheduling is also in the form of interval. In order to solve the upper and lower boundary of interval (optimistic solution and pessimistic solution), the interval optimization model is transformed into two deterministic mathematical programming problems: optimistic optimization model is a simple linear programming problem. The pessimistic optimization model is a NP difficult problem. According to the duality theorem, the model is further transformed into a bilinear programming model. Based on the linear relaxation technique and the spatial branch and bound method, the global optimal solution of the model can be found. The interval economic scheduling with uncertain injection provides intuitive upper and lower bound information for dispatcher operators and provides support for security assessment. Finally, a 15-machine 300-node system is used to illustrate the effectiveness of the proposed method, which is compared with the interior point method and the exhaustive method by taking the day-to-day planning and the intra-day rolling planning as examples.
【作者单位】：电力系统及发电设备控制和仿真国家重点实验室(清华大学电机系);Midwest
【基金】：国家重点基础研究发展计划(973计划,2013CB228203) 国家自然科学基金项目(51277105) 国家杰出青年科学基金项目(51025725)~~
【分类号】：TM73

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