# OUTILS ET MÉTHODOLOGIE D'ÉTUDE DES SYSTÈMES ÉLECTRIQUES POLYPHASÉS. GÉNÉRALISATION DE LA MÉTHODE DES VECTEURS D'ESPACE

Abstract : The general methodology of this thesis consists of using mathematics tools allowing the elaboration of a vectorial formalism which is applicable to electrical systems in the broad sense of the word.
This formalism is enjoying the matricial calculation power and, at the same time, the geometric and graphical properties of the space vector theory that is generalized. So, it is particuliarly adapted to the study of polyphases systems.
First of all, we characterize the static power converters regardless of their loads. To do that, vectorial spaces are associated to them along with characteristic families of vectors. Then, it is possible to define which kind of load the converter can control. The degrees of freedom find also a mathematic formulation. The examples which are dealt with, are the two-level, one and three-phase, voltage-source inverters. In the case of a mean value control, the approach leads to an original calculation of the on-state duration of the switches, by using the concept of barycenter. The obtained algorithms, to be generalized to n-legs inverters, comprise a reduced numbers of logical and arithmetic operations.
The formalisme is secondly applied to the three-phase induction machine with q rotoric bars. This allows us to clarify the concept of equivalent two-phase rotor. The five-phase induction machine is also modelized and the developped approach highligthts the conditions that the five legs inverters must verify to supply it correctly.
In the latest part, a PWM current source inverter is studied with the formalism. The non-linearities of the control are vectorially taken into account, and particuliarly this one relative to the minimal duration of conduction of the switches. Finally, we describe the material implementation of the control on a 16-bits microcontroler, and present experimental results in the case of a load composed of a three-phase induction machine with capacitors in parallel.
Keywords :
Document type :
Theses
Domain :

https://tel.archives-ouvertes.fr/tel-00266256
Contributor : Eric Semail <>
Submitted on : Friday, March 21, 2008 - 2:38:07 PM
Last modification on : Friday, July 17, 2020 - 2:53:32 PM
Long-term archiving on: : Friday, May 21, 2010 - 12:47:10 AM

### Identifiers

• HAL Id : tel-00266256, version 1

### Citation

Eric Semail. OUTILS ET MÉTHODOLOGIE D'ÉTUDE DES SYSTÈMES ÉLECTRIQUES POLYPHASÉS. GÉNÉRALISATION DE LA MÉTHODE DES VECTEURS D'ESPACE. Autre. Université des Sciences et Technologie de Lille - Lille I, 2000. Français. ⟨tel-00266256⟩