232015
20190220082334.0
doi
10.1109/TSG.2017.2764077
ARTICLE
Controlling the Electrical State via Uncertain Power Injections in Three-Phase Distribution Networks
2017-10-17
2017-10-17
Journal Articles
We consider the problem of controlling the electrical state of a three-phase distribution network by enforcing the explicit power injection. More precisely, we assume that the power injection is constrained to reside in some uncertainty set, and the problem is to ensure that the electrical state remains in a set that satisfies feasibility constraints. To formalize this, we say that a set S of power injections is a "domain of V-control" if any continuous trajectory of the electrical state that starts in the set V must stay in V as long as the corresponding trajectory of the power injection stays in S. First, we show that the existence and uniqueness of load-flow solution is not enough to guarantee V-control, and give sufficient additional conditions for V-controllability to hold. Incidentally, the derivation of our conditions establishes that local uniqueness implies nonsingularity of the load-flow Jacobian (the converse is well known by the Inverse Function Theorem). Then, we give a concrete algorithm to determine whether a given set of power injections is a domain of V-control for some feasible and nonsingular set V. The algorithm is evaluated on IEEE test feeders. Our method can be used to perform admissibility tests in the control of distribution networks by power injections.
Control
Steady-state analysis
Feasibility
Non-singularity
Three-phase power distribution systems
Active distribution networks
epfl-smartgrids
248957
Wang, Cong
243237
241098
Le Boudec, Jean-Yves
105633
245463
Paolone, Mario
156731
IEEE Transactions on Smart Grid
10
2
1349 - 1362
mario.paolone@epfl.ch
oai:infoscience.tind.io:232015
article
IC
STI
LCA2
252453
U10427
DESL
252423
U12494
243237
243237
156731
EPFL-ARTICLE-232015
EPFL
ACCEPTED
REVIEWED
ARTICLE