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Mathematical Problems in Engineering
Volume 2006, Article ID 52315, 13 pages

Testing a differential-algebraic equation solver in long-term voltage stability simulation

Departamento de Engenharia de Electricidade, CCET, Universidade Federal do Maranhão, Campus do Bacanga, Maranhão, São Luís 65080-040, Brazil

Received 10 August 2004; Revised 20 June 2005; Accepted 7 July 2005

Copyright © 2006 José E. O. Pessanha and Alex A. Paz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work evaluates the performance of a particular differential-algebraic equation solver, referred to as DASSL, in power system voltage stability computer applications. The solver is tested for a time domain long-term voltage stability scenario, including transient disturbances, using a real power system model. Important insights into the mechanisms of the DASSL solver are obtained through the use of this real model, including control devices relevant to the simulated phenomena. The results indicate that if properly used, the solver can be a powerful numerical tool in time domain assessment of long-term power system stability since it comprises, among several important features, suitable and very efficient variable order and variable step-size numerical techniques. These characteristics are very important when CPU time is a great concern, which is the case when the power system operator needs reliable results in a short period of time. Prior to the present work, this solver has never been applied in power system stability computer analysis in time domain considering slow and fast phenomena.