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A nonlinear model for synchronous machines to describe high-frequency signal based position estimators

Frederik De Belie (UGent) , Jan Melkebeek (UGent) , Lieven Vandevelde (UGent) , René Boel (UGent) , Kristof Geldhof (UGent) and Thomas Vyncke (UGent)
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Abstract
This paper discusses fundamental equations which can be used in high-frequency signal based position estimators for synchronous machines. For this purpose, a small signal dynamic flux model is presented that takes into account the nonlinear magnetic condition and the magnetic interaction between the two orthogonal magnetic axes. The derivation of this model is based on the relationship between flux and coenergy. The model is given in a complex notation and is used to discuss most high-frequency signal based position estimators that have appeared in the literature. By using the finite element method, the coenergy of a given salient-pole synchronous machine is calculated and from it an estimation is made of the parameters in the proposed model. Through experiments it is shown that, by using the relationship between magnetizing current and flux as modelled in this paper, the nonlinear behaviour of the synchronous machine is quite accurately estimated. Furthermore, the new model is compared with a classical model that neglects mutual saturation effects between quadrature and direct axis windings.
Keywords
machine windings, finite element analysis, synchronous machines

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Chicago
De Belie, Frederik, Jan Melkebeek, Lieven Vandevelde, René Boel, Kristof Geldhof, and Thomas Vyncke. 2005. “A Nonlinear Model for Synchronous Machines to Describe High-frequency Signal Based Position Estimators.” In International Electric Machines and Drives Conference, 696–703. Piscataway, NJ, USA: IEEE.
APA
De Belie, F., Melkebeek, J., Vandevelde, L., Boel, R., Geldhof, K., & Vyncke, T. (2005). A nonlinear model for synchronous machines to describe high-frequency signal based position estimators. International electric machines and drives conference (pp. 696–703). Presented at the 2005 IEEE international Electric Machines and Drives Conference, Piscataway, NJ, USA: IEEE.
Vancouver
1.
De Belie F, Melkebeek J, Vandevelde L, Boel R, Geldhof K, Vyncke T. A nonlinear model for synchronous machines to describe high-frequency signal based position estimators. International electric machines and drives conference. Piscataway, NJ, USA: IEEE; 2005. p. 696–703.
MLA
De Belie, Frederik, Jan Melkebeek, Lieven Vandevelde, et al. “A Nonlinear Model for Synchronous Machines to Describe High-frequency Signal Based Position Estimators.” International Electric Machines and Drives Conference. Piscataway, NJ, USA: IEEE, 2005. 696–703. Print.
@inproceedings{307495,
  abstract     = {This paper discusses fundamental equations which can be used in high-frequency signal based position estimators for synchronous machines. For this purpose, a small signal dynamic flux model is presented that takes into account the nonlinear magnetic condition and the magnetic interaction between the two orthogonal magnetic axes. The derivation of this model is based on the relationship between flux and coenergy. The model is given in a complex notation and is used to discuss most high-frequency signal based position estimators that have appeared in the literature. By using the finite element method, the coenergy of a given salient-pole synchronous machine is calculated and from it an estimation is made of the parameters in the proposed model. Through experiments it is shown that, by using the relationship between magnetizing current and flux as modelled in this paper, the nonlinear behaviour of the synchronous machine is quite accurately estimated. Furthermore, the new model is compared with a classical model that neglects mutual saturation effects between quadrature and direct axis windings.},
  author       = {De Belie, Frederik and Melkebeek, Jan and Vandevelde, Lieven and Boel, Ren{\'e} and Geldhof, Kristof and Vyncke, Thomas},
  booktitle    = {International electric machines and drives conference},
  isbn         = {9780780389878},
  keyword      = {machine windings,finite element analysis,synchronous machines},
  language     = {eng},
  location     = {San Antonio, TX, USA},
  pages        = {696--703},
  publisher    = {IEEE},
  title        = {A nonlinear model for synchronous machines to describe high-frequency signal based position estimators},
  url          = {http://dx.doi.org/10.1109/IEMDC.2005.195799},
  year         = {2005},
}

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