Study of the stability of a direct stator current controller for a doubly fed induction machine using the complex hurwitz test
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Tipus de documentArticle
Data publicació2013-11
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Abstract
In this brief, a new control scheme is presented
for the doubly fed induction machine (DFIM). The proposed
control algorithm offers the advantages of proven stability
and remarkable simplicity. In contrast to the classical vector
control method, where the DFIM is represented in a stator-
flux-oriented frame, a model wit
h orientation of the stator
voltage is adopted. This approach allows the decomposition of
the active and reactive powers on the stator side and their
regulation on the rotor side. A main contribution of this brief
is the use of the Hurwitz test for polynomials with complex
coefficients that has had little prior application in control theory.
This results in a proof that a proportional-integral (PI) control
regulating the stator currents ensures global stability for a
feedback-linearized DFIM. The specific condition that the PI
gains must satisfy is derived as a simple inequality. The PI
controller has a particular structure that directly relates the
d
-component of the rotor voltages to the
q
-component of the
stator currents and vice versa. The feedback linearization stage
only uses the direct measurement of the rotor and stator currents
and is thus easily implementable. Furthermore, it is also shown
that the PI controller (without the feedback linearization terms)
is also stable for a large range of control gains and does not
require the knowledge of the machine parameters. Finally, the
control system is validated in simulations and in experiments.
CitacióDoria-Cerezo, A. [et al.]. Study of the stability of a direct stator current controller for a doubly fed induction machine using the complex hurwitz test. "IEEE transactions on control systems technology", Novembre 2013, vol. 21, núm. 6, p. 2323-2331.
ISSN1063-6536
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