IEEE Transactions on Power Systems · 1996 · 123 citations · 22 references
ComputingComputational EngineeringCircuit TheoryComputational MechanicsOptimizationIterative SolversNumerical AlgorithmsNumerical AnalysisPower Grid AnalysisTransfer FunctionsElectrical Power SystemsHigher-order Transfer FunctionsLow-frequency OscillationsNumerical SimulationPolesRayleigh QuotientSystem PolesTransfer Function Analysis
This paper describes the first algorithm to efficiently compute the dominant poles of any specified high order transfer function. As the method is closely related to Rayleigh iteration (generalized Rayleigh quotient), it retains the numerical properties of global and ultimately cubic convergence. The results presented are limited to the study of low frequency oscillations in electrical power systems, but the algorithm is completely general.
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The Algebraic Eigenvalue Problem
E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations
N. Martins, L.T.G. Lima · IEEE Transactions on Power Systems · 1990 · 335 citations
Matrix computation for engineers and scientists
I.M. Delves · Computer Physics Communications · 1977 · 306 citations