Parameter estimation by solving multivariate polynomial system: A synchronous machine example

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Abstract

This paper describes a parameter estimation algorithm applicable for the model structures in the form of multivariate polynomial systems. An example of a synchronous machine nonlinear model is used throughout the paper to explain the contribution. The fundamental in the proposed algorithm is the idea of reformulating the least squares estimation problem having the polynomial model into a numerical linear algebra problem. Recorded signals are represented using the Lagrange interpolation at the Chebyshev points which allows accurate computation of signal derivatives and numerical integration as both are required in the algorithm. The paper explores sensitivity of the algorithm to the power of recorded signals (i.e. excitation intensity) and discusses impact of roundoff error.

Original languageEnglish
Title of host publication2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Conference Proceedings
Pages604-609
Number of pages6
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Barcelona, Spain
Duration: 3 Jul 20126 Jul 2012

Publication series

Name2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Conference Proceedings

Conference

Conference2012 20th Mediterranean Conference on Control and Automation, MED 2012
CountrySpain
CityBarcelona
Period03.07.201206.07.2012

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