基于凸内近似的分解相位分析：配电系统中分布式能源承载能力的一种方法
Decomposed Phase Analysis using Convex Inner Approximations: a Methodology for DER Hosting Capacity in Distribution Systems
AI总结：
本文提出一种基于凸内近似的分解相位分析方法，通过逐相优化、选择性修改阻抗和迭代放宽电压边界来降低保守性，从而量化三相配电馈线的分布式能源承载能力。
摘要：
本文利用交流潮流的凸内近似（CIA）来解决量化三相配电馈线承载分布式能源（DER）能力的优化问题。这通常被称为承载能力（HC），但本文考虑每个节点上正、负DER注入的可分离边界，确保这些节点限值内的注入满足馈线电压和电流限值，并且各节点之和等于馈线HC。该方法将三相馈线分解为单独的相位，并对每个相位应用基于CIA的技术。文中开展分析以确定在何种技术条件下这种逐相方法仍能保证三相约束。随后提出了新方法，通过修改逐相优化问题来克服CIA方法固有的保守性并提高HC，包括选择性地修改逐相阻抗和迭代放宽逐相电压边界。文中还讨论了权衡与可行性。为验证该方法，使用IEEE 37节点测试馈线和一条真实的534节点不平衡辐射状配电馈线进行了基于仿真的分析。
英文摘要：
This paper uses convex inner approximations (CIA) of the AC power flow to tackle the optimization problem of quantifying a three-phase distribution feeder's capacity to host distributed energy resources (DERs). This is often connoted hosting capacity (HC), but herein we consider separative bounds for each node on positive and negative DER injections, which ensures that injections within these nodal limits satisfy feeder voltage and current limits and across nodes sum up to the feeder HC. The methodology decomposes a three-phase feeder into separate phases and applies CIA-based techniques to each phase. An analysis is developed to determine the technical condition under which this per-phase approach can still guarantee three-phase constraints. New approaches are then presented that modify the per-phase optimization problems to overcome conservativeness inherent to CIA methods and increase HC, including selectively modifying the per-phase impedances and iteratively relaxing per-phase voltage bounds. Discussion is included on trade-offs and feasibility. To validate the methodology simulation-based analysis is conducted with the IEEE 37-node test feeder and a real 534-node unbalanced radial distribution feeder.
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