Developments in the Computation of Reduced Order Models with the Use of Dominant Spectral Zeros

Francisco Damasceno Freitas (), Joost Rommes and Nelson Martins ()
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Francisco Damasceno Freitas: University of Brasilia, Department of Electrical Engineering
Joost Rommes: Siemens
Nelson Martins: Electrical Energy Research Center - CEPEL

A chapter in Realization and Model Reduction of Dynamical Systems, 2022, pp 215-233 from Springer

Abstract: Abstract In this report we present a study on the computation of dominant spectral-zeros (DSZ) of a full order model (FOM) and its application to determining a passivity-preserving reduced order model (ROM). The study demonstrates that introducing a properly scaled transmission term into a Hamiltonian system allows one to more effectively compute the DSZs by using as their initial estimates in the iterative process, the poles of the original FOM. As the original dynamical system has half the dimension of the Hamiltonian system used for computing the DSZs, this strategy may speed up the overall computation by an iterative algorithm, such as the subspace accelerated dominant pole algorithm (SADPA). Additionally, we introduce alternative expressions for the input and output matrices in the Hamiltonian system which do not depend on the matrix D (avoiding its inverse) associated with the direct transmission term of the output signal and assess the DSZ computational gains achieved. Numerical experiments are shown for three test-systems, including a 4028-state model.

Keywords: Spectral zeros; Reduced order model; Eigenvalue; SADPA; Hamiltonian; Power system model (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-95157-3_12

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DOI: 10.1007/978-3-030-95157-3_12

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