Robustness margins for indirect field-oriented control of induction motors

Bazanella, Alexandre Sanfelice; Reginatto, Romeu

doi:10.1109/9.863613

Cited by 44 publications

(19 citation statements)

References 33 publications

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“…In de Wit, Ortega, and Mareels (1996), Ortega, Nicklasson, and Espinosa-P! erez (1996), Canudas de Wit and Seleme (1997) and Bazanella and Reginatto (2000), it is observed that for speed control using a PI controller, stability is maintained in spite of large variations in rotor parameters.…”

Section: Introductionmentioning

confidence: 93%

Controller design and robustness analysis for induction machine-based positioning system

Laroche

Bonnassieux

Abou-Kandil

et al. 2004

Control Engineering Practice

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Section: Introductionmentioning

confidence: 93%

Controller design and robustness analysis for induction machine-based positioning system

Laroche

Bonnassieux

Abou-Kandil

et al. 2004

Control Engineering Practice

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“…This has been achieved in [15,16], where the motor torque is maximized by adjusting the values of the flux. In general, the bandwidth of the flux dynamics is lower than that of the torque.…”

Section: Constant or Slowly Varying Flux Magnitude Schemesmentioning

confidence: 99%

“…Other equilibrium point problems have been identified for FOC controlled IMs in the past [16][17][18][19]; however, these reports did not deal with the multivariable aspect of the flux-torque subsystem.…”

mentioning

confidence: 93%

“…The principal shortcoming of most published works in this regard is that they are focused on the overall control goals and only deal with the cross-coupling as a byproduct (normally direct cancellation methods are applied). For instance, in [16][17][18][19] the flux-torque subsystem is analyzed by using local stability concepts and bifurcations. In these references, some aspects of the cross-coupling between the flux and the torque are treated indirectly.…”

Section: Introductionmentioning

confidence: 99%

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Flux-torque cross-coupling analysis of FOC schemes: Novel perturbation rejection characteristics

et al. 2015

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Field oriented control (FOC) is one of the most successful control schemes for electrical machines. In this article new properties of FOC schemes for induction motors (IMs) are revealed by studying the cross-coupling of the flux-torque subsystem. Through the use of frequency-based multivariable tools, it is shown that FOC has intrinsic stator currents disturbance rejection properties due to the existence of a transmission zero in the flux-torque subsystem. These properties can be exploited in order to select appropriate feedback loop configurations. One of the major drawbacks of FOC schemes is their high sensitivity to slip angular velocity perturbations. These perturbations are related to variations of the rotor time constant, which are known to be problematic for IM control. In this regard, the effect that slip angular velocity perturbations have over the newly found perturbation rejection properties is also studied. In particular, although perturbation rejection is maintained, deviations to the equilibrium point are induced; this introduces difficulties for simultaneous flux and torque control. The existence of equilibrium point issues when flux and torque are simultaneously controlled is documented for the first time in this article.

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“…The leakage factor is termed s ¼ 1 -l h 2 /(l r l s ). Some plant matrix entries A ij and input matrix entries B ij are presented in order to demonstrate, in extracts, which influences on the main uncertain parameters r r , Q m exist after having performed the Jacobi linearization via MAPLE (4th order Bazanella, Reginatto, 2000;6th order Lindinger, 2008):…”

Section: Robust Control Of An Inverter-fed Asynchronous Machinementioning

confidence: 99%

Eigenvalue cycles for robust control systems

Weinmann

2010

Elektrotech. Inftech.

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In this article, a cycle of uncertainties around the nominal parameters of the linear or linearized control system is established. Preferably two uncertain parameters are used. Mapping the uncertainty cycle of the control plant on the eigenvalues of the closed-loop control system yields eigenvalue cycles. Operator-guided or automatic modifying the uncertainty cycle is well-suited to balance the admissible uncertainty and the controller parameters; in order to exhaust the limits of a given stability degree and to perform detailled engineering. Using the uncertainties in an unstructured version limited by a preselected specific norm is preferred. The method is nonconservative. Under sufficient computer assistance it is applicable for systems of arbitrary complexity.Keywords: specific direct matrix norm; norm-restricted uncertainty; maximum admissible uncertainty; nonconservative stability condition Eigenwertzyklen f€ ur robuste Regelkreise.In der vorliegenden Arbeit wird ein Zyklus von Unsicherheiten um die nominellen Parameter des linearen oder linearisierten Regelungssystems angesetzt. Vorzugsweise werden zwei unsichere Parameter verwendet. Die Abbildung des Unsicherheitszyklus der Regelstrecke auf die Eigenwerte des geschlossenen Regelkreises liefert den Eigenwertzyklus. Operatorgest€ utzte oder automatische Ab€ anderung des Unsicherheitszyklus ist gut geeignet, die zul€ assigen Unsicherheiten und die Reglerparameter gegeneinander abzuw€ agen; so sind die Grenzen einer vorgegebenen Stabilit€ atsg€ ute auszusch€ opfen und weitere konstruktive Ingenieurleistung einzubringen m€ oglich. Bevorzugt werden die Unsicherheiten in einer unstrukturierten Version, begrenzt durch eine vorgew€ ahlte spezielle Norm. Die Methode vermeidet die Einbeziehung jeglicher € uberz€ ahliger Annahmen. Unter ausreichender Computerunterst€ utzung ist die Methode f€ ur Systeme von beliebiger Komplexheit anwendbar.Schlü sselwö rter: spezielle direkte Matrixnorm; normbegrenzte Unsicherheiten; maximal zul€ assige Unsicherheit; Stabilit€ atsbedingung ohne € uberz€ ahlige Annahmen IntroductionIn this article, based on up-to-date computers, the robustness of linear and linearized control systems is analyzed without any conservatism. Eigenvalue cycles of linearized models (or a set of such models) are studied leading to necessary and sufficient conditions for a specific stability degree.Many industrial control problems are characterized by dynamic properties of complex nonlinear or linearized models. For linear systems, a multitude of procedures is well-known from the literature (see, e.g., Barmish, 1994;Kharitonov, 1979;Weinmann, 1991). Each of these methods has its specific properties and advantages. Many of them are mathematically elegant. In extracts, the result of Kharitonov provides a stability criterion for an nth order dynamic system the coefficients of which are independently located in a hyper rectangle. However, separating the dynamics into a fixed controller and a perturbed plant, yet several problems arise due to affine mapping of pla...

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Robustness margins for indirect field-oriented control of induction motors

Cited by 44 publications

References 33 publications

Controller design and robustness analysis for induction machine-based positioning system

Controller design and robustness analysis for induction machine-based positioning system

Flux-torque cross-coupling analysis of FOC schemes: Novel perturbation rejection characteristics

Eigenvalue cycles for robust control systems

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