论文标题
在最小的线性功率流的最小控制器和传感器上
On the minimal set of controllers and sensors for linear power flow
论文作者
论文摘要
我们考虑一个线性功率流模型，具有间隔结合的节点功率注射和有限的线路功率流。我们根据最少的测量值确定控制控制的功率最少，因此，对于非控制功率注射的所有分配，总体系统都是可行的。对于可能的测量是淋巴结功率注射的重要情况，我们表明该问题可以作为混合企业线性程序（MILP）有效解决。当线功率流也被视为潜在测量值时，我们得出了一种迭代，贪婪的算法，该算法提供了可行但潜在的保守解决方案。我们将开发的算法应用于IEEE 118总线测试电源系统的小微电网和修改版本。我们表明，在这两种情况下，都可以获得所需控制器的数量和测量值的稀疏解决方案。此外，如果线路流量测量值还考虑到节点功率注射，则可以显着减少所需测量值。
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.
