Dynamic computing paradigm for comprehensive power flow analysis. Issue 8 (1st August 2013)

• Record Type: Journal Article
• Authors: Xie, Ning; Torelli, Franco; Bompard, Ettore; Vaccaro, Alfredo
• Is Part Of: IET generation, transmission & distribution. Volume 7:Issue 8(2013)
• Page Start: 832
• Page End: 842
• Publication Date: 2013-08-01
• Subjects: differential equations -- load flow control -- Lyapunov methods -- power system analysis computing -- power system dynamic stability; dynamic computing paradigm -- power flow analysis -- power flow equations -- ordinary differential equations -- Lyapunov theory -- exponential asymptotic convergence -- equilibrium points -- iterative minimisation algorithm; Electric power production -- Periodicals; Electric power transmission -- Periodicals; Electric power distribution -- Periodicals; 621.3105
• DOI: 10.1049/iet-gtd.2012.0350
• Languages: English
• ISSNs: 1751-8687

Abstract

Abstract : In this study, a novel dynamic paradigm aimed at solving the power flow equations in both solvable and unsolvable region is proposed. The challenging idea is to reformulate the power flow equations into a set of ordinary differential equations, whose equilibrium points represent the power flow problem solutions. Starting from the Lyapunov theory, the authors demonstrate that this system of dynamic equations is characterised by an exponential asymptotic convergence to equilibrium points. This feature allows us to overcome the inherent limitations of the traditional iterative minimisation algorithms that can fail to converge because of the highly non‐linearities of the first‐order condition. Extensive simulation studies aimed at demonstrating the effectiveness of the proposed methodology are presented and discussed.