Title :
Accelerated and Localized Newton Schemes for Faster Dynamic Simulation of Large Power Systems
Author :
Fabozzi, Davide ; Chieh, Angela S. ; Haut, Bertrand ; Van Cutsem, Thierry
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci. (Montefiore Inst.), Univ. of Liege, Liège, Belgium
Abstract :
This paper proposes two methods to speed up the demanding time-domain simulations of large power system models. First, the sparse linear system to solve at each Newton iteration is decomposed according to its bordered block diagonal structure in order to solve only those parts that need to be solved and update only submatrices of the Jacobian that need to be updated. This brings computational savings without degradation of accuracy. Next, the Jacobian structure is further exploited to localize the system response, i.e., involve only the components identified as active, with an acceptable and controllable decrease in accuracy. The accuracy and computational savings are assessed on a large-scale test system.
Keywords :
Jacobian matrices; Newton method; power system simulation; time-domain analysis; Jacobian submatrices; Newton iteration; accelerated Newton Schemes; bordered block diagonal structure; faster dynamic simulation; large power system models; large-scale test system; localized Newton schemes; sparse linear system; time-domain simulations; Acceleration; Computational modeling; Equations; Jacobian matrices; Mathematical model; Power system dynamics; Vectors; Bordered block diagonal (BBD) matrices; Newton method; Schur complement; differential-algebraic equations; large-scale systems; localization; time simulation;
Journal_Title :
Power Systems, IEEE Transactions on
DOI :
10.1109/TPWRS.2013.2251915