CONTROL DEVICE FOR A WIDE SPEED RANGE INDUCTION MACHINE, CARRYING OUT A CONTROL BASED UPON A FLUX ESTIMATION PERFORMED BY MEANS OF A LUENBERGER STATE OBSERVER, AND METHOD FOR POSITIONING THE EIGENVALUES OF SAID STATE OBSERVER

US 6,507,166 B2
Filed: 05/25/2001
Issued: 01/14/2003
Est. Priority Date: 05/26/2000
Status: Active Grant

First Claim

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1. A control device (4) for a wide speed range induction machine (1), carrying out a control based upon a flux estimation performed by means of a state observer (6), said induction machine (1) having a plurality of poles (p), and said state observer (6) having an estimation error definable by means of a matrix (A_o) having a plurality of eigenvalues (p_o), the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) being correlated to the magnitude of a corresponding pole (p) of said induction machine (1);

characterized in that the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is modified with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pre-set relation.

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Abstract

The control device carries out a control of the induction machine based upon a flux estimation performed by means of a Luenberger state observer, the estimation error of which can be defined by means of a matrix having a plurality of eigenvalues, the magnitude of each of which is proportional to the magnitude of a respective pole of the induction machine, and the phase of each of which is rotated with respect to the phase of the corresponding pole of the induction machine by a given angle of rotation.

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12 Claims

1. A control device (4) for a wide speed range induction machine (1), carrying out a control based upon a flux estimation performed by means of a state observer (6), said induction machine (1) having a plurality of poles (p), and said state observer (6) having an estimation error definable by means of a matrix (A_o) having a plurality of eigenvalues (p_o), the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) being correlated to the magnitude of a corresponding pole (p) of said induction machine (1);
- characterized in that the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is modified with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pre-set relation.
- View Dependent Claims (2, 3, 4)
- - 2. The control device according to claim 1, characterized in that the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is rotated with respect to the phase of the corresponding pole (p) of said induction machine (1) by a given angle of rotation ().
  - 3. The control device according to claim 2, characterized in that said angle of rotation () is less than or equal to 45°
    - .
  - 4. The control device according to claim 1, characterized in that the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is proportional to the magnitude of the corresponding pole (p) of said induction machine (1).

5. The control device (4) for a wide speed range induction machine (1), carrying out a control based upon a flux estimation perfomed by means of a state observer (6), said induction machine (1) having a plurality of poles (p), and said state observer (6) having an estimation error definable by means of a matrix (A_o) having a plurality of eigenvalues (p_o), the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) being correlated to the magnitude of a corresponding pole (p) of said induction machine (1);
- characterized in that the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is modified with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pres-set relation, characterized in that the eigenvalues (p_o) of said estimation-error matrix (A_o) are correlated to the poles (p_o) of said induction machine (1) according to the following relation;
- View Dependent Claims (6)
- - 6. The control device according to claim 5, characterized in that said estimation-error matrix (A_o) is a function of a feedback matrix (K), the elements of which are defined by the following relations:
    - ${\begin{matrix} k_{11} = (1 - g_{r}) (a_{1} + a_{2}) + g_{i} ω \\ k_{12} = (1 - g_{r}) ω - g_{i} (a_{1} + a_{2}) \\ k_{21} = (1 - {g_{r}}^{2} + {g_{i}}^{2}) (a_{3} + γ a_{1}) - γ k_{11} \\ k_{22} = - γ k_{12} + 2 g_{r} g_{i} (a_{3} + γ a_{1}) \end{matrix} γ = \frac{1}{β} = \frac{σ L_{m}}{1 - σ}$ where;
      
      k_ijare the elements of the feedback matrix (K);
      
      ω
      
      is the speed of rotation of said induction machine (1);
      
      a _iare elements of a matrix (A) of said induction machine;
      
      L_mis the magnetization inductance of said induction machine (1); and
      
      σ
      
      is the coefficient of dispersion of said induction machine (1).

7. A method for positioning the eigenvalues (p_o) of a state observer (6) implemented in a control device (4) for a wide speed range induction machine (1) to perform an estimation of the flux of said induction machine (1), said induction machine (1) having a plurality of poles (p), and the estimation error of said state observer (6) being definable by means of a matrix (A_o) having a plurality of eigenvalues (p_o), said method comprising the step of correlating the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) to the magnitude of a corresponding pole (p) of said induction machine (1);
- said method being characterized in that it further comprises the step of modifying the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pre-set relation.
- View Dependent Claims (8, 9, 10)
- - 8. The method for positioning eigenvalues according to claim 7, characterized in that the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is rotated with respect to the phase of the corresponding pole (p) of said induction machine by a given angle of rotation ().
  - 9. The method for positioning eigenvalues according to claim 8, characterized in that said angle of rotation () is less than or equal to 45°
    - .
  - 10. The method for positioning eigenvalues according to claim 7, characterized in that the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) is proportional to the magnitude of the corresponding pole (p) of said induction machine (1).

11. The method for positioning the eigenvalues (p_o) of a state observer (6) implemented in a control device (4) for a wide speed range induction machine (1) to perform an estimation of the flux of said induction machine (1), said induction machine (1) having a plurality of poles (p), and the estimation error of said state observer (6) being definable by means of a matrix (A_o) having a plurality of eigenvalues (p_o), said method comprising the step of correlating the magnitude of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) to the magnitude of a corresponding pole (p) of said induction machine (1);
- said method being characterized in that it further comprises the step of modifying the phase of each of the eigenvalues (p_o) of said estimation-error matrix (A_o) with respect to the phase of the corresponding pole (p) of said induction machine (1) according to a pre-set relation, characterized in that the eigenvalues (p_o) of said estimation-error matrix (A_o) are correlated to the poles (p) of said induction machine (1) according to the following relation;
- View Dependent Claims (12)
- - 12. The method for positioning eigenvalues according to claim 11, characterized in that said estimation-error matrix (A_o) is a function of a feedback matrix (K) the elements of which are defined by the following relations:
    - ${\begin{matrix} k_{11} = (1 - g_{r}) (a_{1} + a_{2}) + g_{i} ω \\ k_{12} = (1 - g_{r}) ω - g_{i} (a_{1} + a_{2}) \\ k_{21} = (1 - {g_{r}}^{2} + {g_{i}}^{2}) (a_{3} + γ a_{1}) - γ k_{11} \\ k_{22} = - γ k_{12} + 2 g_{r} g_{i} (a_{3} + γ a_{1}) \end{matrix} γ = \frac{1}{β} = \frac{σ L_{m}}{1 - σ}$ where;
      
      k_ijare the elements of the feedback matrix (K);
      
      ω
      
      is the speed of rotation of said induction machine (1);
      
      a _iare elements of a matrix (A) of the induction machine;
      
      L_mis the magnetization inductance of said induction machine (1); and
      
      σ
      
      is the coefficient of dispersion of said induction machine (1).

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Current Assignee
C.R.F. Societa Consortile Per Azioni
Original Assignee
C.R.F. Societa Consortile Per Azioni
Inventors
Barba, Giovanni, Maceratini, Roberto
Primary Examiner(s)
Fletcher, Marlon T.
Assistant Examiner(s)
SMITH, TYRONE W

Application Number

US09/865,892
Publication Number

US 20020000783A1
Time in Patent Office

599 Days
Field of Search

318/432, 318/433, 318/715, 318/727, 318/800, 318/807, 318/809, 318/811, 318/434
US Class Current

318/727
CPC Class Codes

H02P 21/141 Flux estimation

CONTROL DEVICE FOR A WIDE SPEED RANGE INDUCTION MACHINE, CARRYING OUT A CONTROL BASED UPON A FLUX ESTIMATION PERFORMED BY MEANS OF A LUENBERGER STATE OBSERVER, AND METHOD FOR POSITIONING THE EIGENVALUES OF SAID STATE OBSERVER

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Abstract

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12 Claims

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CONTROL DEVICE FOR A WIDE SPEED RANGE INDUCTION MACHINE, CARRYING OUT A CONTROL BASED UPON A FLUX ESTIMATION PERFORMED BY MEANS OF A LUENBERGER STATE OBSERVER, AND METHOD FOR POSITIONING THE EIGENVALUES OF SAID STATE OBSERVER

First Claim

1 Assignment

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0 Petitions

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Accused Products

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Abstract

Citations

12 Claims

Specification

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