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A nonlinear and linear model of a hybrid stepping motor

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Abstract
Intelligent drive methodologies typically require an accurate machine model. In this paper a state space model for hybrid stepping motors is derived. A hybrid stepping motor is a complex, nonlinear machine, characterized by position dependent parameters. The different, position dependent, parameters are measured, discussed and modeled. This leads to a highly nonlinear model, resulting in a high computational cost. However, when the motor is controlled by a vector-control algorithm, the position dependence of certain model parameters can be eliminated. If common assumptions are made, and reluctance effects are neglected, the motor model can be transformed into a linear model. This linear model is verified by simulations and measurements. A profound sensitivity analysis proves the robustness of the model.
Keywords
Modeling, Stepping Motor, Reluctance effects, Sensitivity Analysis, Robustness, Vector Control

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Please use this url to cite or link to this publication:

MLA
Derammelaere, Stijn, Bram Vervisch, Frederik De Belie, et al. “A Nonlinear and Linear Model of a Hybrid Stepping Motor.” ELECTRIMACS 2011, Proceedings. 2011. Print.
APA
Derammelaere, S., Vervisch, B., De Belie, F., Cottyn, J., Van den Abeele, G., Cox, P., Stockman, K., et al. (2011). A nonlinear and linear model of a hybrid stepping motor. ELECTRIMACS 2011, Proceedings. Presented at the ELECTRIMACS 2011.
Chicago author-date
Derammelaere, Stijn, Bram Vervisch, Frederik De Belie, Johannes Cottyn, Griet Van den Abeele, Peter Cox, Kurt Stockman, and Lieven Vandevelde. 2011. “A Nonlinear and Linear Model of a Hybrid Stepping Motor.” In ELECTRIMACS 2011, Proceedings.
Chicago author-date (all authors)
Derammelaere, Stijn, Bram Vervisch, Frederik De Belie, Johannes Cottyn, Griet Van den Abeele, Peter Cox, Kurt Stockman, and Lieven Vandevelde. 2011. “A Nonlinear and Linear Model of a Hybrid Stepping Motor.” In ELECTRIMACS 2011, Proceedings.
Vancouver
1.
Derammelaere S, Vervisch B, De Belie F, Cottyn J, Van den Abeele G, Cox P, et al. A nonlinear and linear model of a hybrid stepping motor. ELECTRIMACS 2011, Proceedings. 2011.
IEEE
[1]
S. Derammelaere et al., “A nonlinear and linear model of a hybrid stepping motor,” in ELECTRIMACS 2011, Proceedings, Cergy-Pontoise, France, 2011.
@inproceedings{1909480,
  abstract     = {Intelligent drive methodologies typically require an accurate machine model. In this paper a state space model for hybrid stepping motors is derived. A hybrid stepping motor is a complex, nonlinear machine, characterized by position dependent parameters. The different, position dependent, parameters are measured, discussed and modeled. This leads to a highly nonlinear model, resulting in a high computational cost. However, when the motor is controlled by a vector-control algorithm, the position dependence of certain model parameters can be eliminated. If common assumptions are made, and reluctance effects are neglected, the motor model can be transformed into a linear model. This linear model is verified by simulations and measurements. A profound sensitivity analysis proves the robustness of the model.},
  author       = {Derammelaere, Stijn and Vervisch, Bram and De Belie, Frederik and Cottyn, Johannes and Van den Abeele, Griet and Cox, Peter and Stockman, Kurt and Vandevelde, Lieven},
  booktitle    = {ELECTRIMACS 2011, Proceedings},
  keywords     = {Modeling,Stepping Motor,Reluctance effects,Sensitivity Analysis,Robustness,Vector Control},
  language     = {eng},
  location     = {Cergy-Pontoise, France},
  pages        = {6},
  title        = {A nonlinear and linear model of a hybrid stepping motor},
  year         = {2011},
}