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A Polynomial-Time Method for Testing Admissibility of Uncertain Power Injections in Microgrids. (arXiv:1810.06256v1 [math.OC])
来源于:arXiv
We study the admissibility of power injections in single-phase microgrids,
where the electrical state is represented by complex nodal voltages and
controlled by nodal power injections. Assume that (i) there is an initial
electrical state that satisfies security constraints and the non-singularity of
load-flow Jacobian, and (ii) power injections reside in some uncertainty set.
We say that the uncertainty set is admissible for the initial electrical state
if any continuous trajectory of the electrical state is ensured to be secured
and non-singular as long as power injections remain in the uncertainty set. We
use the recently proposed V-control and show two new results. First, if a
complex nodal voltage set V is convex and every element in V is nonsingular,
then V is a domain of uniqueness. Second, we give sufficient conditions to
guarantee that every element in some power injection set S has a load-flow
solution in V, based on impossibility of obtaining load-flow solutions at the
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