交直流并联输电通道功率分配的分布鲁棒优化

Distributionally robust optimization for the power allocation of AC/DC parallel transmission channels

考虑新能源场站出力的不确定性,基于分布鲁棒优化方法,建立高比例新能源电网交直流并联输电通道功率分配的两阶段优化模型。第1阶段目标函数为新能源场站出力预测场景下所有交直流输电线路有功损耗费用之和最小;第2阶段目标函数为新能源场站出力的最劣概率分布下直调电厂出力和直流输电线路功率的调整成本的期望值最小。在构建概率分布的模糊集时,提出以Hellinger距离衡量实际概率与参考概率分布之间的距离,并采用Markov链描述新能源场站出力的时间相关性。通过采用列与约束生成(CCG)算法求解两阶段分布鲁棒优化模型,以获得各回交直流并联输电通道日前功率传输计划。最后,以某个实际交直流混联电网为例,分析计算结果可以验证所提出模型、算法的有效性和正确性。

Considering the uncertainty of renewable energy station output,a two-stage optimization model for AC/DC parallel transmission channel power distribution of a power system with a high proportion of renewable energy is established based on the distributionally robust optimization(DRO)method.The objective function of the first stage is to minimize the sum of active power loss costs of all transmission lines in the forecast scenario.The objective function of the second stage is to minimize the expected adjustment cost of directly dispatching generators and DC transmission lines power under the worst-case probability distribution(PD).When constructing the ambiguity set of PDs,Hellinger distance is used to measure the distance between real PD and reference PD,and the Markov chain is used to describe the time correlation of renewable energy station output.The column and constraint generation algorithm is used to solve the two-stage DRO model to obtain the day-ahead power transmission schedules of AC/DC parallel transmission channels.Finally,with the case study on an actual Hybrid AC/DC power grid and the computational results demonstrate the correctness and effectiveness of the proposed model and algorithm.