“20th PSCC 2018 papers submission and review platform

Full Program »

Evaluation af Factorization methods for Thevenin Equivalent Computations in Real-Time Stability Assessment

The ́venin equivalents are used by a range of power system stability indicators, such as the L-index for voltage stability and the aperiodic small signal rotor angle stability indicator. This paper investigates the effect of using different factorization methods for computing coefficients for wide-area The ́venin equivalents. Direct and incomplete factorization meth- ods are compared with respect to runtime, accuracy and amount of fill-in. The paper introduces a proof that the block triangular form of bus admittance matrices will have no non-zero entries in the off-diagonal. KLU factorization is found to perform almost twice as fast as the standard LU factorization with no cost of accuracy. It is, however, shown that the largest computational workload is associated with dense matrix multiplications. An incomplete method reduces the fill-in of coefficient matrices at the cost of accuracy in The ́venin voltages. It is shown, that inaccuracies are amplified as the L-index approaches the stability limit.

Author(s):

Christina Hildebrandt    
Technical University of Denmark
Denmark

Bahtiyar Can Karatas    
Technical University of Denmark
Denmark

Jakob Glarbo Møller    
Technical University of Denmark
Denmark

Hjörtur Jóhannsson    
Technical University of Denmark
Denmark

 

Powered by OpenConf®
Copyright ©2002-2014 Zakon Group LLC