The doubly-fed induction generator (DFIG) is a key constituent of energy conversion plants. The control of a DFIG is a challenge, whenever the primary energy supply (e.g., the wind velocity field) is characterised by intermittency. The mathematical model and control of a DFIG rely on the Blondel-Park transformation, which is known to simplify the governing equations. The distinctive feature of this contribution consists of showing how the Blondel-Park transformation derives from a set of conditions to be met by a group. Such a group is shown to exist and to continuously depend on one parameter. The uniqueness of its infinitesimal generator is also shown. As an application, the well-known electric torque theorem is proved in a simple way, which relies on a "product of matrices" formula. The latter, in turn, is a by-product of the axiomatic deduction of the Blondel-Park transformation.

Crosta, G., Chen, G. (2015). Axiomatics of the blondel-park transformation. In J. Vrba, S. He, L. Tsang, K. Kobayashi, Q.H. Liu, S. Scheel, et al. (a cura di), Proceedings of PIERS 2015 (Prague, July 6-9 2015) (pp. 1510-1512). Cambridge, MA 02138 : Electromagnetics Academy.

### Axiomatics of the blondel-park transformation

#### Abstract

The doubly-fed induction generator (DFIG) is a key constituent of energy conversion plants. The control of a DFIG is a challenge, whenever the primary energy supply (e.g., the wind velocity field) is characterised by intermittency. The mathematical model and control of a DFIG rely on the Blondel-Park transformation, which is known to simplify the governing equations. The distinctive feature of this contribution consists of showing how the Blondel-Park transformation derives from a set of conditions to be met by a group. Such a group is shown to exist and to continuously depend on one parameter. The uniqueness of its infinitesimal generator is also shown. As an application, the well-known electric torque theorem is proved in a simple way, which relies on a "product of matrices" formula. The latter, in turn, is a by-product of the axiomatic deduction of the Blondel-Park transformation.
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Capitolo o saggio
doubly-fed induction generator; Blondel-Park transformation; electric torque theorem; one parameter group
English
Proceedings of PIERS 2015 (Prague, July 6-9 2015)
Vrba, J; He, S; Tsang, L; Kobayashi, K; Liu, QH; Scheel, S; Sihvola, A; Svanberg, S
2015
9781934142301
2015-
1510
1512
2P7-1510
Crosta, G., Chen, G. (2015). Axiomatics of the blondel-park transformation. In J. Vrba, S. He, L. Tsang, K. Kobayashi, Q.H. Liu, S. Scheel, et al. (a cura di), Proceedings of PIERS 2015 (Prague, July 6-9 2015) (pp. 1510-1512). Cambridge, MA 02138 : Electromagnetics Academy.
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10281/93170`