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Mixed control strategy of a doubly fed induction machine

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Abstract

In this paper the doubly fed induction machine (DFIM) is supplied by two pulse width modulation (PWM) voltage inverters. The mixed control strategy proposed is divided into two parts: a variable structure control (VSC) as far as the electrical modes are concerned, and a general PI controller for the mechanical modes. It is linked with active power distribution between stator and rotor circuits. An original DFIM mathematical model is defined in a stator flux reference frame. Experimental results of transient and steady-state behaviour are presented. In this paper we focus our study to three operating ranges: the magnetizing range, step and steady-state speed response, load torque impact.

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Abbreviations

s :

referring to the stator circuit

r :

referring to the stator circuit

Ω :

referring to the mechanical time constant

d :

d-axis component

q :

q-axis component

\({\underline v}_{\underline s}\) :

stator voltage v s  = v sd  + jv sq

\({\underline v}_{\underline r}\) :

rotor voltage v r  = v rd  + jv rq

\({\underline i}_{\underline s}\) :

stator current i s  = i sd  + ji sq

\({\underline i}_{\underline r}\) :

rotor current i r  = i rd  + ji rq

λ s :

stator flux λ s  = λ sd  + jλ sq

λ r :

rotor flux λ r  = λ rd  + jλ rq

N p :

pole pair number

ω :

DFIM speed ω = Ω N p

ω s :

stator angular velocity

ω r :

rotor angular velocity ω s  = ω + ω r

P s , P r :

stator and rotor active power, respectively

P m :

mechanical power

R s , R r :

stator and rotor resistance, respectively

L s , L r :

stator and rotor inductance, respectively

L m :

mutual inductance

σ:

linkage factor \(\sigma=1-\frac{L_{m}^{2}}{L_{s}L_{r}}\)

J t :

inertia of motors (DFIM+DC motor)

f t :

friction of motors

T em :

electromagnetic torque

T L :

load torque

p :

differential operator

k p :

active power ratio

References

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Authors and Affiliations

  1. Laboratoire Génie de Production, LGP-ENIT, 47 avenue d’AZEREIX, BP 1629, 65016, Tarbes Cedex, France

    Paul-Etienne Vidal

  2. Laboratoire Plasma et Conversion d’Energie, 2 Rue CAMICHEL, BP 7122, 31071, Toulouse Cedex 7, France

    Maria Pietrzak-David & François Bonnet

Authors
  1. Paul-Etienne Vidal
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  2. Maria Pietrzak-David
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  3. François Bonnet
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Corresponding author

Correspondence to Paul-Etienne Vidal.

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Vidal, PE., Pietrzak-David, M. & Bonnet, F. Mixed control strategy of a doubly fed induction machine. Electr Eng 90, 337–346 (2008). https://doi.org/10.1007/s00202-007-0082-2

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  • DOI: https://doi.org/10.1007/s00202-007-0082-2

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