Robust optimal power flow (OPF) deals with extreme scenarios of uncertainty associated with the high penetration of renewable energy resources. The development of active distribution networks allows transmission and distribution networks to become coupled, which brings about a critical need for a coordinated solution of robust OPF. However, a centralized solution of the robust OPF is difficult to implement for the entire transmission and distribution networks because the two networks are operated by different operators. We propose a non-iterative decoupled method for the coordinated solution of the robust OPF in transmission and distribution networks. The optimal generation cost of a distribution network is converted to a piecewise quadratic function of the boundary transferred power, so that the solution of the coordinated robust OPF can be simplified to a piecewise quadratic program. An efficient descent direction search method is proposed to deal with the piecewise quadratic program and a linearization method is developed to accelerate the proposed solution process. Numerical tests are performed on few power systems to demonstrate that the proposed non-iterative method can obtain a sufficiently accurate solution, which is also more efficient than other traditional decentralized methods.

中文翻译：

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变发电机组输配电网鲁棒协调OPF的非迭代解耦解

强大的最佳潮流（OPF）可处理与可再生能源资源的高渗透率相关的极端不确定性情况。有源配电网络的发展使传输和配电网络能够耦合，这对鲁棒OPF的协调解决方案提出了迫切的需求。但是，由于整个网络都由不同的运营商运营，因此很难为整个传输和分发网络实现鲁棒OPF的集中式解决方案。针对输配网络中鲁棒OPF的协调解决方案，我们提出了一种非迭代解耦方法。配电网的最佳发电成本转换为边界传输功率的分段二次函数，因此，可以将协作鲁棒OPF的解决方案简化为分段二次程序。提出了一种有效的下降方向搜索方法来处理分段二次程序，并开发了一种线性化方法来加速所提出的求解过程。在少数电力系统上进行了数值测试，以证明所提出的非迭代方法可以获得足够准确的解决方案，并且比其他传统的分散方法效率更高。