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arXiv 2003.10273eess.SYcs.SYmath.OC
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线性潮流控制器和传感器的最小集合

On the minimal set of controllers and sensors for linear power flow

Edwin Mora, Florian Steinke

摘要:

本文考虑了一个具有区间有界节点功率注入和有限线路潮流的线性潮流模型。我们基于最小测量集确定要控制的功率注入的最小数量,使得整个系统对于非受控功率注入的所有分配都是可行的。对于重要的情况下,可能的测量是节点的功率注入,我们表明,该问题可以有效地解决作为一个混合整数线性规划(MILP)。当线路潮流被认为是潜在的测量,我们推导出一个迭代的,贪婪的算法,提供了一个可行的,但可能是保守的解决方案。我们将所开发的算法应用于小型微电网和IEEE 118总线测试电力系统的修改版本。我们表明,在这两种情况下,可以得到所需的控制器和测量的数量方面的稀疏解决方案。此外,所需的测量的数量可以显着减少,如果线流量测量被认为是额外的节点功率注入。

英文摘要:

We consider a linear power flow model with interval-bounded nodal power injections and limited line power flows. We determine the minimal number of power injections to control based on a minimal set of measurements, such that the overall system is feasible for all assignments of the non-controlled power injections. For the important case where the possible measurements are the nodal power injections, we show that the problem can be solved efficiently as a mixed-integer linear program (MILP). When also line power flows are considered as potential measurements, we derive an iterative, greedy algorithm that provides a feasible, but potentially conservative solution. We apply the developed algorithms to both a small microgrid and a modified version of the IEEE 118 bus test power system. We show that in both cases a sparse solution in terms of the number of required controllers and measurements can be obtained. Moreover, the number of required measurements can be reduced significantly if line flow measurements are considered additionally to nodal power injections.

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