Robust Topology Detection Under Load Uncertainty

Robust Topology Detection Under Load Uncertainty
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负载不确定性下的鲁棒拓扑检测

DOI:
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发表时间:
2021
期刊:
American Control Conference
影响因子:
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通讯作者:
N. Wu
N. Wu
中科院分区:
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文献类型:
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作者:
Nicholas Piaquadio;N. Wu

文献摘要

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提出了一种基于多模型的电力系统拓扑检测方法,能够在较大的负荷不确定性条件下运行。对于每个期望的拓扑,使用集中传输电路模型,并假设所有发电机端的同步相量可用,潜在负载电流扰动的凸包被映射到由可测电流同步相量向量跨越的决策空间,其中保持集合的凸性。提出了一种稳健的检测器设计算法,该算法能够从负载扰动的最大凸包中找到完全分离拓扑定义的可测电流同步相量集的检测超平面集。为IEEE 9节点测试系统设计了一种最优稳健检测器,与最近报道的基于规范的拓扑检测器相比,该检测器具有更大的可容忍负载不确定度。我们的检测器在实际电流和无功电流相量分量每单位±0.21的均匀负载不确定度,或等于额定负载±29%的不确定度下表现出稳健性。该方法具有几个比例系数,允许设计者容忍指定负载上更高的不确定性,但代价是其他地方的容差较小。
A multiple-model based detection method for power system topology is developed to operate under substantial load uncertainty. Using a lumped transmission circuit model for each anticipated topology and assuming synchrophasor availability at all generator terminals, a convex hull of potential load current perturbations is mapped into a decision space spanned by vectors of measurable current synchrophasors, where set convexity is preserved. A robust detector design algorithm is presented to find the set of detection hyperplanes that fully separate the topology-defined sets of measurable current synchrophasors mapped from the largest convex hull of load perturbations. An optimally robust detector is designed for the IEEE 9-bus test system, demonstrating a much larger tolerable load uncertainty compared with a recently reported norm-based topology detector. Our detector displays robustness under a uniform load uncertainty of ±0.21 per unit across the real and reactive current phasor components, or an uncertainty equal to ±29% of the nominal load. The method features several scaling factors, allowing the designer to tolerate higher uncertainty on a specified load at the cost of less tolerance elsewhere.