Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems
暂无分享,去创建一个
Federico Milano | Muyang Liu | Georgios Tzounas | Ioannis K. Dassios | F. Milano | I. Dassios | Georgios Tzounas | Muyang Liu
[1] Federico Milano,et al. Semi-Implicit Formulation of Differential-Algebraic Equations for Transient Stability Analysis , 2016, IEEE Transactions on Power Systems.
[2] Vicente Hernández,et al. SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems , 2005, TOMS.
[3] Federico Milano,et al. The Möbius transform effect in singular systems of differential equations , 2019, Appl. Math. Comput..
[4] Nelson Martins,et al. The dominant pole spectrum eigensolver [for power system stability analysis] , 1997 .
[5] Olaf Schenk,et al. Solving unsymmetric sparse systems of linear equations with PARDISO , 2004, Future Gener. Comput. Syst..
[6] Pengfei Tian,et al. An Improved IRA Algorithm and Its Application in Critical Eigenvalues Searching for Low Frequency Oscillation Analysis , 2017, IEEE Transactions on Power Systems.
[7] William G. Poole,et al. A geometric theory for the QR, LU and power iterations. , 1973 .
[8] N. Uchida,et al. A new eigen-analysis method of steady-state stability studies for large power systems: S matrix method , 1988 .
[9] L. Wang,et al. Application of sparse eigenvalue techniques to the small signal stability analysis of large power systems , 1989, Conference Papers Power Industry Computer Application Conference.
[10] L. Wang,et al. Sequential computation of the complete eigensystem for the study zone in small signal stability analysis of large power systems , 1988 .
[11] R. Bennon,et al. Eigenvalue Analysis of Synchronizing Power Flow Oscillations in Large Electric Power Systems , 1982, IEEE Transactions on Power Apparatus and Systems.
[12] T. Sakurai,et al. A projection method for generalized eigenvalue problems using numerical integration , 2003 .
[13] Federico Milano,et al. Participation Factors for Singular Systems of Differential Equations , 2020, Circuits Syst. Signal Process..
[14] Joost Rommes,et al. Computing rightmost eigenvalues for small-signal stability assessment of large scale power systems , 2010, IEEE PES General Meeting.
[15] Danny C. Sorensen,et al. Implicit Application of Polynomial Filters in a k-Step Arnoldi Method , 1992, SIAM J. Matrix Anal. Appl..
[16] George C. Verghese,et al. Selective Modal Analysis with Applications to Electric Power Systems, PART I: Heuristic Introduction , 1982 .
[17] W. Liu,et al. Calculation of Rightmost Eigenvalues in Power Systems Using the Jacobi–Davidson Method , 2006, IEEE Transactions on Power Systems.
[18] Guangchao Geng,et al. A Parallelized Contour Integral Rayleigh–Ritz Method for Computing Critical Eigenvalues of Large-Scale Power Systems , 2018, IEEE Transactions on Smart Grid.
[19] N. Martins,et al. New methods for fast small-signal stability assessment of large scale power systems , 1995 .
[20] Zhengchun Du,et al. Computing Critical Eigenvalues of Power Systems Using Inexact Two-Sided Jacobi-Davidson , 2011, IEEE Transactions on Power Systems.
[21] K. Bathe,et al. Solution methods for eigenvalue problems in structural mechanics , 1973 .
[22] C. Y. Chung,et al. A Combined TSA-SPA Algorithm for Computing Most Sensitive Eigenvalues in Large-Scale Power Systems , 2013, IEEE Transactions on Power Systems.
[23] M. G. Lauby,et al. A comprehensive computer program package for small signal stability analysis of power systems , 1990 .
[24] Richard B. Lehoucq,et al. Anasazi software for the numerical solution of large-scale eigenvalue problems , 2009, TOMS.
[25] Hiroto Tadano,et al. A numerical method for nonlinear eigenvalue problems using contour integrals , 2009, JSIAM Lett..
[26] Ping Tak Peter Tang,et al. FEAST As A Subspace Iteration Eigensolver Accelerated By Approximate Spectral Projection , 2013, SIAM J. Matrix Anal. Appl..
[27] Danny C. Sorensen,et al. Deflation Techniques for an Implicitly Restarted Arnoldi Iteration , 1996, SIAM J. Matrix Anal. Appl..
[28] E. Davidson. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .
[29] Andrew V. Knyazev,et al. Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method , 2001, SIAM J. Sci. Comput..
[30] Guangchao Geng,et al. A Parallel Contour Integral Method for Eigenvalue Analysis of Power Systems , 2017, IEEE Transactions on Power Systems.
[31] J. G. F. Francis,et al. The QR Transformation A Unitary Analogue to the LR Transformation - Part 1 , 1961, Comput. J..
[32] W. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem , 1951 .
[33] N. Martins. Efficient Eigenvalue and Frequency Response Methods Applied to Power System Small-Signal Stability Studies , 1986, IEEE Transactions on Power Systems.
[34] T. Sakurai,et al. CIRR: a Rayleigh-Ritz type method with contour integral for generalized eigenvalue problems , 2007 .
[35] Burton S. Garbow,et al. EISPACK — A package of matrix eigensystem routines , 1974 .
[36] G. Stewart,et al. An Algorithm for Generalized Matrix Eigenvalue Problems. , 1973 .
[37] S. Gomes,et al. Sequential Computation of Transfer Function Dominant Poles of s-Domain System Models , 2009, IEEE Transactions on Power Systems.
[38] R. Mises,et al. Praktische Verfahren der Gleichungsauflösung . , 1929 .
[39] G. W. Stewart,et al. A Krylov-Schur Algorithm for Large Eigenproblems , 2001, SIAM J. Matrix Anal. Appl..
[40] Federico Milano,et al. Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis , 2017, IEEE Transactions on Power Systems.
[41] Jack J. Dongarra,et al. Towards dense linear algebra for hybrid GPU accelerated manycore systems , 2009, Parallel Comput..
[42] Kesheng Wu,et al. Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems , 2000, SIAM J. Matrix Anal. Appl..
[43] Patrick Amestoy,et al. A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..
[44] Eric Polizzi,et al. A Density Matrix-based Algorithm for Solving Eigenvalue Problems , 2009, ArXiv.
[45] Federico Milano,et al. Modal Participation Factors of Algebraic Variables , 2020, IEEE Transactions on Power Systems.
[46] Nelson Martins,et al. Computing dominant poles of power system transfer functions , 1996 .
[47] Alston S. Householder,et al. Unitary Triangularization of a Nonsymmetric Matrix , 1958, JACM.
[48] Guangchao Geng,et al. An Efficient Parallel Krylov-Schur Method for Eigen-Analysis of Large-Scale Power Systems , 2016, IEEE Transactions on Power Systems.
[49] N. Martins,et al. Efficient computation of transfer function dominant poles using subspace acceleration , 2006, IEEE Transactions on Power Systems.
[50] B. Gao,et al. Voltage Stability Evaluation Using Modal Analysis , 1992, IEEE Power Engineering Review.
[51] J. M. Campagnolo,et al. Refactored bi-iteration: a high performance eigensolution method for large power system matrices , 1996 .
[52] Joe Chow,et al. A Sparsity-Based Technique for Identifying Slow-Coherent Areas in Large Power Systems , 1984, IEEE Transactions on Power Apparatus and Systems.
[53] Yuefan Deng,et al. New trends in high performance computing , 2001, Parallel Computing.