Methods and systems to determine rotor imbalance

1. A system, comprising:

a stator component;

a rotor component rotating inside the stator component;

a plurality of features disposed on the periphery of the stator component or the rotor component;

a processing subsystem for:

determining a rotor imbalance at least based upon a feature-to-feature speed variation of the plurality of features, wherein the feature-to-feature speed variation is a function of a central-feature-to-feature speed and a plurality of baseline-central-feature-to-feature speeds of the plurality of features; and

determining an orientation of the rotor imbalance by:

identifying a maximum feature-to-feature speed variation value and a minimum feature-to-feature speed variation value in one or more desired curves of the feature-to-feature speed variation;

identifying a first feature identification number corresponding to the maximum feature-to-feature speed variation value and a second feature identification number corresponding to the minimum feature-to-feature speed variation value; and

determining the orientation of the rotor imbalance around the first feature identification number and the second feature identification number.

2. The system of claim 1 , wherein the rotor imbalance comprises load imbalance, mass imbalance, or a combination thereof.

3. The system of claim 1 , wherein the plurality of features comprises teeth, depressions, markings, or combinations thereof.

4. The system of claim 2 , further comprising at least one sensing device that generates signals representative of times of arrival of the plurality of features.

5. The system of claim 4 , wherein the processing subsystem determines the plurality of feature-to-feature speeds of the plurality of features based upon the times of arrival corresponding to the plurality of features and an angular distance of the plurality of features from adjacent feature in the plurality of features.

6. The system of claim 5 , wherein the processing subsystem further determines an amount of the rotor imbalance based upon the feature-to-feature speed variation by:

determining the central-feature-to-feature speed of the plurality of features by determining a central tendency of the plurality of feature-to-feature speeds;

determining the feature-to-feature speed variation based upon the central-feature-to-feature speed and the plurality of baseline-central-feature-to-feature speeds of the plurality of features;

generating the one or more desired curves of the feature-to-feature speed variation by fitting one or more desired curve shapes on the feature-to-feature speed variation using one or more techniques; and

determining the amount of rotor imbalance based upon one or more amplitudes of the one or more desired curves of the feature-to-feature speed variation.

7. The system of claim 6 , wherein the processing subsystem fits the one or more desired curve shapes on the feature-to-feature speed variation using at least one technique comprising a regression technique, Curve fitting techniques, Optimization techniques, Higher order polynomial fit, wavelet based fit, and Empirical Mode Decomposition.

8. The system of claim 7 , wherein the one or more desired curves comprise a single sinusoidal curve when the rotor imbalance comprises the mass imbalance, and the one or more desired curves comprise one or more sinusoidal curves or peaks when the rotor imbalance comprises load imbalance in an internal combustion engine.

9. The system of claim 8 , wherein a number of the one or more sinusoidal curves or peaks is dependent on a number of cylinders, in an internal combustion engine, comprising defects.

10. The system of claim 6 , wherein the processing subsystem further determines the amount of the rotor imbalance based upon the one or more amplitudes of the one or more desired curves of the feature-to-feature speed variation, a natural frequency of the rotor component, a corresponding speed of the rotor component, or combinations thereof.

11. The system of claim 6 , wherein the processing subsystem further determines the orientation of the rotor imbalance based upon a phase shift in the central-feature-to-feature speed with respect to the baseline-central-feature-to-feature speeds of the plurality of features.

12. A method, comprising:

determining a rotor imbalance at least based upon feature-to-feature speed variation of a plurality of features disposed on the periphery of a stator component or a rotor component rotating inside the stator component, wherein the feature-to-feature speed variation is a function of a central-feature-to-feature speed and a plurality of baseline-central-feature-to-feature speeds of the plurality of features;

determining an orientation of the rotor imbalance by:

identifying a maximum feature-to-feature speed variation value and a minimum feature-to-feature speed variation value in one or more desired curves of the feature-to-feature speed variation;

identifying a first feature identification number corresponding to the maximum feature-to-feature speed variation value and a second feature identification number corresponding to the minimum feature-to-feature speed variation value; and

determining the orientation of the rotor imbalance around the first feature identification number and the second feature identification number.

13. The method of claim 12 , further comprising:

generating signals representative of times of arrival of the plurality of features; and

determining a plurality of feature-to-feature speed of the plurality of features based upon the times of arrival of the plurality of features and an angular distance of the plurality of features from adjacent feature in the plurality of features.

14. The method of claim 13 , further comprising determining an amount of the rotor imbalance based upon the feature-to-feature speed variation of the plurality of features comprises:

determining the central-feature-to-feature-speed of the plurality of features by determining a central tendency of the plurality of feature-to-feature speed;

determining the feature-to-feature speed variation based upon the central-feature-to-feature-speed and the plurality of baseline-central-feature-to-feature speeds of the plurality of features;

fitting one or more desired curve shapes on the feature-to-feature speed variation using one or more techniques; and

determining the amount of the rotor imbalance based upon one or more amplitudes of the one or more desired curves.

15. The method of claim 13 , wherein determining the orientation of the rotor imbalance comprises:

determining the orientation of the rotor imbalance based upon a phase shift in the feature-to-feature speed of the plurality of features with respect to the plurality of baseline-central-feature-to-feature speeds of the plurality of features.