Small-Signal Stability Analysis of Large Power Systems With Inclusion of Multiple Delays
- 14 September 2015
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Systems
- Vol. 31 (4) , 3257-3266
Abstract
The paper focuses on the small-signal stability analysis of large power systems with inclusion of multiple delayed signals. The following four techniques are compared: 1) a Chebyshev discretization scheme of an equivalent partial differential equations that resembles the original delay differential-algebraic equations (DDAEs); 2) an approximation of the time integration operator; 3) a linear multistep discretization of the DDAEs based on an high-order implicit time-integration scheme; and 4) the well-known Padé approximants. These techniques are compared using a GPU-based parallel implementation of the Shur method and QR factorization and tested through a real-world transmission system.Keywords
This publication has 36 references indexed in Scilit:
- A Krylov Method for the Delay Eigenvalue ProblemSIAM Journal on Scientific Computing, 2010
- Efficient computation of characteristic roots of delay differential equations using LMS methodsJournal of Computational and Applied Mathematics, 2008
- Solution operator approximations for characteristic roots of delay differential equationsApplied Numerical Mathematics, 2006
- Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditionsApplied Numerical Mathematics, 2006
- Evaluation of Time Delay Effects to Wide-Area Power System Stabilizer DesignIEEE Transactions on Power Systems, 2004
- Power System Modeling for Inverse ProblemsIEEE Transactions on Circuits and Systems I: Regular Papers, 2004
- Stability of linear time‐periodic delay‐differential equations via Chebyshev polynomialsInternational Journal for Numerical Methods in Engineering, 2004
- On Stability of LMS Methods and Characteristic Roots of Delay Differential EquationsSIAM Journal on Numerical Analysis, 2002
- Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral typeApplied Numerical Mathematics, 1998
- The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral TypeSIAM Journal on Numerical Analysis, 1995