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Optimal coordination of thyristor controlled series compensation and transmission expansion planning: Distributionally robust optimization approach

机译：晶闸管控制系列补偿和传输扩展规划的最佳协调：分布鲁棒优化方法

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摘要

This paper proposes a distributionally robust optimization method for assessing economic benefits of transmission expansions with thyristor controlled series compensation devices. To accommodate the uncertainty of wind generations and electrical vehicle loads, a distributionally robust optimization method is proposed to use historical data instead of predefined distribution probabilities. In the proposed framework, firstly, a confidence set for unknown distributions are constructed based on the historical data. Then, based on worst-case distributions within a constructed confidence set, the optimal results of transmission expansion planning and allocation of thyristor controlled series compensation device are obtained. In order to take advantage of the flexible alternative current transmission devices (FACTS) in both economic and technical considerations, the optimal allocation of thyristor controlled series compensation is integrated into the transmission expansion planning. This requires AC-based transmission expansion planning model. AC power flow suffers from high computational complexity. To tackle this issue, the linearized AC power flow model is utilized. Furthermore, to solve the optimization problem, the combined technique including Bender's decomposition and cut-and-column are utilized. The numerical results on the Garver 6-bus and IEEE 118-bus systems demonstrate the effectiveness of the proposed method in comparison with scenario-based stochastic and robust optimization methods. Besides, the impacts of the thyristor controlled series compensation on total cost reduction has been investigated.
机译：本文提出了一种分布稳健的优化方法，用于评估具有晶闸管控制串联补偿装置的传输扩展的经济效益。为了适应风力代和电动车辆负载的不确定性，提出了一种分布鲁棒优化方法来使用历史数据而不是预定义的分配概率。在所提出的框架中，首先，基于历史数据构建未知分布的信心设置。然后，基于构造的置信度集中的最坏情况分布，获得了晶闸管控制串联补偿装置的传输扩展规划和分配的最佳结果。为了利用经济技术考虑的柔性替代电流传输装置（事实），晶闸管控制系列补偿的最佳分配集成到传输扩展规划中。这需要基于交流的传输扩展计划模型。交流电流遭受高计算复杂性。为了解决这个问题，利用线性化交流电流模型。此外，为了解决优化问题，利用了包括弯曲的分解和截图的组合技术。 Garver 6-Bus和IEEE 118总线系统上的数值结果证明了与基于场景的随机和鲁棒优化方法相比的提出方法的有效性。此外，研究了晶闸管控制系列补偿对总成本减少的影响。

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