000232015 001__ 232015
000232015 005__ 20190220082334.0
000232015 0247_ $$2doi$$a10.1109/TSG.2017.2764077
000232015 037__ $$aARTICLE
000232015 245__ $$aControlling the Electrical State via Uncertain Power Injections in Three-Phase Distribution Networks
000232015 260__ $$c2017-10-17
000232015 269__ $$a2017-10-17
000232015 336__ $$aJournal Articles
000232015 520__ $$aWe 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.
000232015 6531_ $$aControl
000232015 6531_ $$aSteady-state analysis
000232015 6531_ $$aFeasibility
000232015 6531_ $$aNon-singularity
000232015 6531_ $$aThree-phase power distribution systems
000232015 6531_ $$aActive distribution networks
000232015 6531_ $$aepfl-smartgrids
000232015 700__ $$0248957$$aWang, Cong$$g243237
000232015 700__ $$0241098$$aLe Boudec, Jean-Yves$$g105633
000232015 700__ $$0245463$$aPaolone, Mario$$g156731
000232015 773__ $$j10$$k2$$q1349 - 1362$$tIEEE Transactions on Smart Grid
000232015 8560_ $$fmario.paolone@epfl.ch
000232015 909C0 $$0252453$$pLCA2$$xU10427
000232015 909C0 $$0252423$$pDESL$$xU12494
000232015 909CO $$ooai:infoscience.tind.io:232015$$pSTI$$pIC$$particle
000232015 917Z8 $$x243237
000232015 917Z8 $$x243237
000232015 917Z8 $$x156731
000232015 937__ $$aEPFL-ARTICLE-232015
000232015 973__ $$aEPFL$$rREVIEWED$$sACCEPTED
000232015 980__ $$aARTICLE