@inproceedings{d7ea10890c074930b41795becebe0008,
title = "Monotonicity between phase angles and power flow and its implications for the uniqueness of solutions",
abstract = "This paper establishes sufficient conditions for the uniqueness of power flow solutions in an AC power system via the monotonic relationship between real power flow and the phase angle difference. More specifically, we prove that strict monotonicity holds if the angle difference is bounded by the steady-state stability limit in a power system with a series-parallel topology, or if transmission losses are sufficiently low. In both cases, a vector of voltage phase angles can be uniquely determined (up to an absolute phase shift) given a vector of active power injections within the realizable range. The implication of this result for classical power flow analysis is that, under the conditions specified above, the problem has a unique physically realizable solution if the phasor voltage magnitudes are tightly controlled.",
author = "Park, {Sang Woo} and Zhang, {Richard Y.} and Javad Lavaei and Ross Baldick",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE Computer Society. All rights reserved.; 52nd Annual Hawaii International Conference on System Sciences, HICSS 2019 ; Conference date: 08-01-2019 Through 11-01-2019",
year = "2019",
language = "English (US)",
series = "Proceedings of the Annual Hawaii International Conference on System Sciences",
publisher = "IEEE Computer Society",
pages = "3607--3616",
editor = "Bui, {Tung X.}",
booktitle = "Proceedings of the 52nd Annual Hawaii International Conference on System Sciences, HICSS 2019",
address = "United States",
}