李本新, 韩学山, 王士柏. 输电检修与机组组合联合的区间鲁棒优化决策[J]. 中国电机工程学报, 2018, 38(20): 6001-6011. DOI: 10.13334/j.0258-8013.pcsee.171875
引用本文: 李本新, 韩学山, 王士柏. 输电检修与机组组合联合的区间鲁棒优化决策[J]. 中国电机工程学报, 2018, 38(20): 6001-6011. DOI: 10.13334/j.0258-8013.pcsee.171875
LI Benxin, HAN Xueshan, WANG Shibo. Robust Optimal Coordination of Transmission Maintenance Scheduling With Unit Commitment Considering the Interval Uncertainty of Nodal Demands and Wind Power[J]. Proceedings of the CSEE, 2018, 38(20): 6001-6011. DOI: 10.13334/j.0258-8013.pcsee.171875
Citation: LI Benxin, HAN Xueshan, WANG Shibo. Robust Optimal Coordination of Transmission Maintenance Scheduling With Unit Commitment Considering the Interval Uncertainty of Nodal Demands and Wind Power[J]. Proceedings of the CSEE, 2018, 38(20): 6001-6011. DOI: 10.13334/j.0258-8013.pcsee.171875

输电检修与机组组合联合的区间鲁棒优化决策

Robust Optimal Coordination of Transmission Maintenance Scheduling With Unit Commitment Considering the Interval Uncertainty of Nodal Demands and Wind Power

  • 摘要: 在设备实施状态检修背景下,输电设备检修与机组组合容易产生矛盾,尤其是风电等可再生能源接入所产生的剧烈不确定性使这一矛盾更加突出。为此,该文以区间不确定集描述电网各母线上负荷或风电的不确定性,建立了输电设备检修与机组组合联合的区间鲁棒优化决策模型。从该模型出发,提出了以奔德斯(Benders)分解协调为核心的求解框架,其中以输电设备检修和机组组合联合决策为主问题,依据电网潮流可行性和电网潮流最优性的条件,引入奔德斯可行割和最优割,借助拉格朗日松弛技术(Lagrangian relaxation technique)使分解协调迭代格式得以有效进行,最终驱使主问题趋向潮流可行到最优,完成优化决策。其中,为提升优化算法计算效率,引入主问题中设备检修和机组启停变动情景下的发电与负荷平衡(单母线模型)的经济调度最小运行成本以减小主问题目标与子问题目标衔接的间隙,并促使其以最小的迭代次数趋向最优解;其次,针对电网潮流可行性及最优性校验遭遇的max-min复杂模型,提出一定主问题解条件下,依据对偶原理和区间不确定集特点使其转换为易于求解的混合整数线性规划模型的方法,并给出应用模式识别加速这一校验过程的基本流程。最后,以简单6节点和IEEE118节点算例系统验证了该文模型和方法的有效性。

     

    Abstract: In the background of equipment condition-based maintenance, contradictions are easily introduced between transmission maintenance scheduling and unit commitment, especially with a high level of uncertainty due to the wind power integration. To meet this challenge, this paper modeled the uncertainty of nodal demands and wind power generations through the interval uncertainty set, and then proposed a robust optimization decision model to solve the coordination of transmission maintenance scheduling with unit commitment in the presence of interval uncertainty. According to the proposed model, a solution framework based on Benders decomposition and coordination strategy was proposed, in which the master problem applied the Lagrangian relaxation technique to obtain optimal hourly results for transmission maintenance scheduling and unit commitment in several iterations by adding the Benders cuts constructed on the basis of the feasible or optimal conditions of the power flow sub-problems. Furthermore, the proposed approach introduced additional constraints that were associated with the minimum operating cost of single-bus economic dispatch varying with transmission maintenance and unit commitment schedule into the master problem to decrease the gap between the master problem and sub-problems for accelerating the convergence of the optimal results, and also used the principle of duality and the characteristic of interval uncertainty set to covert the intractable max-min models of the feasible and optimal power flow sub-problems into tractable mix integer linear programming models, in which pattern recognition algorithm was applied to improve efficiency. Case studies with the six-bus system and the IEEE 118-bus test system were used to exhibit the effectiveness of the proposed scheduling approach.

     

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