Observers for flux estimation in induction machines

Verghese, George C.; Sanders, S.R.

doi:10.1109/41.3067

Cited by 443 publications

(129 citation statements)

References 12 publications

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“…Hence, when analyzing the electrical error dynamics, we thus assume that the rotor speed error is essentially constant. Analysis presented in [9] reveals that, for any electrical frequency and rotor speed , the matrix is exponentially stable. Hence, the electrical error dynamics converge to a quasisteady-state value which is a function of the rotor speed error:…”

Section: Two-time-scale Approach To Observer Designmentioning

confidence: 99%

Speed-sensorless vector torque control of induction machines using a two-time-scale approach

Hofmann¹,

Sanders

1998

IEEE Trans. on Ind. Applicat.

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Abstract-Conditions for observability of a linearized smoothairgap induction machine model are examined, and limitations of any speed-sensorless observer scheme based on such a model are discussed. An approach for speed-sensorless flux estimation based on singular perturbation theory is developed. This approach relies on the natural time-scale separation between the electrical and mechanical dynamics of the induction machine. A fullorder observer of an induction machine is presented, incorporating a correction term which has an intuitive explanation when one considers steady-state stator currents. Using singular perturbation theory, convergence of the observer is shown for all open-loop stable operating points of the induction machine, with the exception of dc excitation. Sensitivity of the observer to parameter deviations is discussed. Experimental results are presented confirming the validity of the above approach.

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Section: Two-time-scale Approach To Observer Designmentioning

confidence: 99%

Speed-sensorless vector torque control of induction machines using a two-time-scale approach

Hofmann¹,

Sanders

1998

IEEE Trans. on Ind. Applicat.

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“…The steady-state error of such flux observers is known to depend on the slip [10], while its dynamics when the slip changes are deduced from (24) to oscillate at the slip frequency and damped with the rotor time constant, as seen in Fig. 14(b) [11].…”

Section: Effect Of the Back Emf On The Stator Currentmentioning

confidence: 99%

“…Although the dynamic analysis of the different flux observer designs is beyond the scope of this paper [10], [11], a brief study for the case of a current-model-based flux observer is presented.…”

Section: Effect Of the Back Emf On The Stator Currentmentioning

confidence: 99%

“…Therefore, using (5), or the equivalent scalar notation (11) and (12), to approach the induction motor current regulation problem is considered more appropriate and is used for the remainder of this paper.…”

Section: Induction Motor Modeling Current Regulationmentioning

confidence: 99%

“…When scalar instead of complex vector notation is used, the transformation of a generic complex vector quantity from complex vector to scalar notation can be done by taking real and imaginary parts after substituting as shown in [3] (9) Applying (9) to (5), and assuming (as commonly done for rotor flux field orientation) that the synchronous frame has been aligned with the rotor flux (10) the equivalent scalar nonlinear state equations (11) and (12) corresponding to the complex vector equation (5) are obtained (11) (12) Different representations of the induction motor are often used [3], [5], depending on how the quantities are rearranged. If, for example, the flux state equation (6) is solved with the current state equation (5), the rotor speed variable can be eliminated with the result, as shown in…”

Section: Induction Motor Modeling Current Regulationmentioning

confidence: 99%

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Dynamic analysis of current regulators for AC motors using complex vectors

Briz¹,

Degner²,

Lorenz³

Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242)

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Abstract-The analysis and design of current regulators for polyphase ac loads is presented using complex vector notation. The ac motor current regulation problem is analyzed by studying both the command tracking and disturbance rejection capability of the current regulator. The use of complex vector notation and the generalization of classical control tools like root locus, frequency-response functions, and dynamic stiffness functions to complex vectors provide a way of comparing the performance of different controller topologies. Limitations in the performance of the synchronous frame proportional and integral current regulator are outlined, and several ways of improving its performance are suggested and investigated.Index Terms-AC current regulators, complex vector analysis, complex vector controls design.

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Non-linear sensorless indirect adaptive speed control of induction motor with unknown rotor resistance and load

Lin

Tsai

2000

Int. J. Adapt. Control Signal Process.

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In this paper, a nonlinear indirect adaptive sensorless speed and flux tracking controller for induction motors is proposed. In the controller, only the stator currents are assumed to be measurable. Flux observers and rotor speed estimator are designed to relax the need to flux and speed measurement. Besides, two estimators are also designed to overcome drifting problem of the rotor resistance and unknown load torque. Rigorous stability analysis based on Lyapunov theory is also performed to guarantee that the controller designed here is stable. Computer simulations and experiments are done to demonstrate the performance of our design. Copyright © 2000 John Wiley & Sons, Ltd.

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Observers for flux estimation in induction machines

Cited by 443 publications

References 12 publications

Speed-sensorless vector torque control of induction machines using a two-time-scale approach

Speed-sensorless vector torque control of induction machines using a two-time-scale approach

Dynamic analysis of current regulators for AC motors using complex vectors

Non-linear sensorless indirect adaptive speed control of induction motor with unknown rotor resistance and load

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