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 (contributed talk). In PIERS 2015 Prague - Draft Abstracts (pp.1036-1036). Cambridge, MA 02139 : The Electromagnetics Academy.

### Axiomatics of the Blondel-Park Transformation (contributed talk)

#### 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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abstract + slide
doubly-fed induction generator; Blondel-Park transformation; electric torque theorem; one parameter group
English
Progress in Electromagnetics Research Symposium 2015
2015
Antezza, M; Assanto, G; Bek, A; Berakdar, J; Boutejdar, A; Brown, ER; Bugaj, M; Bulgakova, NM; Burla, M; Capek, M; Ceolato, R; Cerullo, G
Vrba, J; He, S; Tsang, L; Kobayashi, K; Liu, QH; Scheel, S; Sihvola, A; Svanberg, S
PIERS 2015 Prague - Draft Abstracts
giu-2015
2015
1036
1036
2P7 - 1
http://www.piers.org/piers2015Prague/
open
Crosta, G., Chen, G. (2015). Axiomatics of the Blondel-Park Transformation (contributed talk). In PIERS 2015 Prague - Draft Abstracts (pp.1036-1036). Cambridge, MA 02139 : The Electromagnetics Academy.
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10281/95160`
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