@inproceedings{b1fe0c4d938345ae9ced04069d9bac85,
title = "Parameter estimation by solving polynomial eigenproblem: A synchronous machine example",
abstract = "This paper describes a parameter estimation algorithm applicable for a model structure in the form of an overdetermined polynomial eigenproblem. An example of a third-order synchronous machine dynamic model is used to explain the contribution. The dynamic model is reformulated as the polynomial eigenproblem which provides algebraic (polynomial) relations between unknown generator parameters and terminal measurements. Time-varying (not measured) input is represented as a series expansion in the Chebyshev polynomials. The expansion coefficients are added to the set of unknown parameters and size of the polynomial eigenproblem is increased accordingly. The polynomial eigenproblem is reformulated as the equivalent linear generalized eigenproblem and solved using the shift-and-invert power method. Simulation examples are presented to demonstrate robustness of the algorithm in terms of sensitivity to the power of recorded signals (i.e. excitation power) and round-off errors.",
keywords = "parameter estimation, polynomial eigenproblem, synchronous machine",
author = "Rastko {\v Z}ivanovi{\'c}",
note = "Funding Information: Received 10 June 1996; accepted 1 October 1996. This work is supported in part by DARPA, Microelectronics Technology Office (MTO) and by the NSF under Grant No. ECS-9412944. Address correspondence to Tarek El-Bawab or Anura Jayasumana, Department of Electrical Engineering, Colorado State University, Fort Collins, CO 80523. E-mail: Tarek@lamar.colostate.edu or Jayasuma@engr.colostate.edu; 2013 Australasian Universities Power Engineering Conference, AUPEC 2013 ; Conference date: 29-09-2013 Through 03-10-2013",
year = "2013",
doi = "10.1109/aupec.2013.6725461",
language = "English",
isbn = "9781862959132",
series = "2013 Australasian Universities Power Engineering Conference, AUPEC 2013",
publisher = "IEEE Computer Society",
booktitle = "2013 Australasian Universities Power Engineering Conference, AUPEC 2013",
address = "United States",
}