System and Method of Fault Detection Based on Robust Damped Signal Demixing

A system for detecting faults of an electric machine, comprising:

• an interface configured to acquire signals via sensors with respect to the machine for an input time domain;
• a memory to store computer-implemented programs including a signal sampling program, a matrix formation program, an optimization formation program, a matrix pencil program, optimization solvers and lookup data including predetermined system parameters related to the faults;
• and
• a processer, when performing the computer-implemented programs in connection with the interface and the memory, configured to perform:
• generating a signal matrix based on the acquired signals for the input time domain;
• forming an optimization problem with a low-rank constraint using the optimization formation program;
• demixing the signal matrix into a low-rank matrix, a spike interference matrix, and a Gaussian noise matrix by solving the optimization problem using one of the optimization solvers;
• extracting parameters of damped exponentials from the low-rank matrix using the matrix pencil program;
• and
• determining the faults with respect to the induction machine by identifying each of the measured system parameters of the induction machine based on the lookup data.