By Topic

Relaxation/Newton methods for concurrent time step solution of differential-algebraic equations in power system dynamic simulations

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
M. La Scala ; Diparitmento di Ingegneria Elettrica, Napoli Univ., Italy ; A. Bose

A class of algorithms that exploits the concurrent solution of many time steps is presented. By applying a stable integration method, the overall algebraic-differential set of equations can be transformed into a unique algebraic problem at each time step. The dynamic behavior of the system can be obtained by solving an enlarged set of algebraic equations relative to the simultaneous solution of many time steps. A class of relaxation/Newton algorithms can be used to solve this problem efficiently. This formulation permits easy implementation of multigrid techniques. The convergence rates and computational complexity of the algorithms are discussed. Test results for realistic power systems confirm theoretical expectations and show the promise of a several-fold increase in speed over that obtainable by traditional parallel-in-space approaches. The synergism obtainable by parallelism in time and in space can provide speed-up adequate for online implementations of transient stability analysis

Published in:

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:40 ,  Issue: 5 )