Abstract With a high penetration of intermittent distributed generators (DGs), the uncertainties in active distribution networks (ADNs) are exacerbated and further coupled in the networks. It brings enormous challenges on system operation and puts forward a higher requirement for the operational flexibility of ADNs. However, due to the secure constraints and diverse operational requirements, the controllability of controllable resources (CRs) cannot fully facilitate the flexible operation of ADNs. Operational flexibility is seen as a link between diverse operational requirements and flexible adjustment capabilities of CRs, which also represents the ability of the network to deploy its CRs to respond to the change of operation states. Under the framework of operational flexibility, multiple types of operational optimization problems can be reinterpreted, which provides a new perspective for the operation of ADNs. In this paper, the definition and region-based mathematical formulation of operational flexibility for ADNs are proposed firstly. Then the quantified calculation method of operational flexibility is proposed to represent flexibility provision (FP) and flexibility availability (FA). The application of operational flexibility is analyzed from the perspective of diverse operation and improvement of flexibility. Finally, case studies are performed on the modified IEEE 33-node system to show the effectiveness of the proposed method.

中文翻译：

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主动配电网的运行灵活性：定义、量化计算和应用

摘要 随着间歇式分布式发电机 (DG) 的高渗透率，有源配电网络 (ADN) 的不确定性加剧并进一步耦合到网络中。这给系统运行带来了巨大的挑战，对ADN的运行灵活性提出了更高的要求。然而，由于安全约束和多样化的运营需求，可控资源（CR）的可控性并不能充分促进ADN的灵活运营。运营灵活性被看作是多种运营需求与CR灵活调整能力之间的联系，也代表了网络部署其CR以应对运营状态变化的能力。在操作灵活的框架下，可以重新解释多种类型的操作优化问题，这为 ADN 的操作提供了新的视角。在本文中，首先提出了 ADN 操作灵活性的定义和基于区域的数学公式。然后提出了运营灵活性的量化计算方法来表示灵活性供给（FP）和灵活性可用性（FA）。从多样化操作和提高灵活性的角度分析了操作灵活性的应用。最后，对修改后的 IEEE 33 节点系统进行了案例研究，以证明所提出方法的有效性。首先提出了ADN操作灵活性的定义和基于区域的数学公式。然后提出了运营灵活性的量化计算方法来表示灵活性供给（FP）和灵活性可用性（FA）。从多样化操作和提高灵活性的角度分析了操作灵活性的应用。最后，对修改后的 IEEE 33 节点系统进行了案例研究，以证明所提出方法的有效性。首先提出了ADN操作灵活性的定义和基于区域的数学公式。然后提出了运营灵活性的量化计算方法来表示灵活性供给（FP）和灵活性可用性（FA）。从多样化操作和提高灵活性的角度分析了操作灵活性的应用。最后，对修改后的 IEEE 33 节点系统进行了案例研究，以证明所提出方法的有效性。