Determining amplitude limits for vibration spectra
First Claim
1. A method for detecting faults in a chiller based on vibration amplitude limits, comprising:
- calculating vibration amplitude limits of the chiller using statistics and historical data for the chiller;
estimating an at least two-dimensional density estimate; and
weighting the historical data based on when the historical data was generated;
wherein the vibration amplitude limits are calculated as a function of frequency for an entire frequency spectrum.
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Abstract
A method for determining vibration amplitude limits of a mechanical device. The method comprises identifying a mechanical device and a frequency range for a spectrum to be analyzed, retrieving vibration spectra comprising individual spectrum for the mechanical device and the frequency range, calculating frequency for the individual spectrum, and identifying the individual spectrum with the smallest number of frequency lines. In addition, the method comprises calculating noise bandwidths and a largest noise bandwidth, removing outlier data, calculating conditional kernel density, and calculating vibration amplitude limits to detect faults in the mechanical device.
90 Citations
21 Claims
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1. A method for detecting faults in a chiller based on vibration amplitude limits, comprising:
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calculating vibration amplitude limits of the chiller using statistics and historical data for the chiller; estimating an at least two-dimensional density estimate; and weighting the historical data based on when the historical data was generated; wherein the vibration amplitude limits are calculated as a function of frequency for an entire frequency spectrum. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A method for determining vibration amplitude limits of a mechanical device comprising:
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identifying a mechanical device and a frequency range for a spectrum to be analyzed; retrieving vibration spectra comprising individual spectrum for the mechanical device and the frequency range; calculating frequency for the individual spectrum; identifying the individual spectrum with a smallest number of frequency lines; calculating noise bandwidths and a largest noise bandwidth; removing outlier data; calculating conditional kernel density; and calculating vibration amplitude limits to detect faults in the mechanical device. - View Dependent Claims (13, 14, 15, 16, 17, 18)
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19. A method for determining vibration amplitude limits to detect faults in mechanical equipment, comprising:
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estimating a data probability distribution based on data for the mechanical equipment; utilizing the data probability distribution to calculate the vibration amplitude limits, such that the data probability distribution is calculated using statistics and historical data of the mechanical equipment including using a kernel density method, wherein the kernel density method comprises calculating conditional kernel density including estimating an unknown probability density for a given dataset, the probability density estimate at a point x for a one-dimensional dataset with n data points being given by; where, xj is the jth observation of dataset X, h is a bandwidth that characterizes a spread of the kernel, and κ
(•
) is a kernel density function that is symmetric and satisfies the condition;removing outlier data; and calculating the vibration amplitude limits as a function of frequency for a substantial portion of the frequency spectrum. - View Dependent Claims (20, 21)
where K (u) is a d-dimensional kernel, H is a bandwidth matrix, and |•
| denotes a matrix determinant.
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Specification