Properties of quadratic equations and their application to power system analysis

Authors
Makarov, YV Hill, DJ Hiskens, IA
Citation
Yv. Makarov et al., Properties of quadratic equations and their application to power system analysis, INT J ELEC, 22(5), 2000, pp. 313-323
Citations number
17
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
ISSN journal
01420615 → ACNP
Volume
22
Issue
5
Year of publication
2000
Pages
313 - 323
Database
ISI
SICI code
0142-0615(200006)22:5<313:POQEAT>2.0.ZU;2-U
Abstract
A number of facts about quadratic algebraic problems and applied Newton-Rap hson like methods are presented. The main results are about solution struct ure, loading trajectories, load how feasibility boundaries and Newton-Raphs on solutions. Various practically important applications of these propertie s are discussed. Although motivated by power flow problems, the results are valid for any problem described by an algebraic system of quadratic equati ons. (C) 2000 Published by Elsevier Science Ltd. All rights reserved.