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Dynamic Modelling and Control of a Compressor Using Chebyshev Polynomial Approximation

[+] Author Affiliations
Marta Zagorowska, Nina Thornhill

Imperial College London, London, UK

Charlotte Skourup

ABB Oil, Gas and Chemicals, Oslo, Norway

Paper No. GT2018-76399, pp. V006T05A019; 10 pages
doi:10.1115/GT2018-76399
From:
  • ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition
  • Volume 6: Ceramics; Controls, Diagnostics, and Instrumentation; Education; Manufacturing Materials and Metallurgy
  • Oslo, Norway, June 11–15, 2018
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-5112-8
  • Copyright © 2018 by ASME

abstract

The aim of this study is to apply a Chebyshev polynomial approximation of the compressor map for dynamic modelling and control of centrifugal compressors. The results are compared to those from an approximation based on the third order polynomials and a compressor map derived from first principles. In the analysis of centrifugal compressors, a combination of dynamic conservation laws and static compressor map provides an insight into the surge phenomenon, whose avoidance remains one of the objectives of compressor control. The compressor maps based on the physical laws provide accurate results, but require a detailed knowledge about the properties of the system, such as the geometry of the compressor and gas quality. Third order polynomials are usually used as an approximation for the compressor map, providing simplified models at the expense of accuracy. Chebyshev polynomial approximation provides a trade-off between the accuracy of physical modelling with the ease of use provided by third order polynomial approximation.

Copyright © 2018 by ASME

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