Probe placement optimization in gas turbine engines

A method of optimizing probe placement in a turbomachine, comprising:

• determining wavenumber (Wn) of N dominant wavelets generated by upstream and downstream stators and blade row interactions formed around an annulus, wherein the wavenumber represents how many times a wavelet repeats along the annulus, wherein N is a predetermined number based on vane counts of the blade rows and the wavenumber Wn represents the number of the complete cycle of a wave over its wavelength along the annulus;
• establishing a design matrix A utilized in developing flow properties around the annulus having a dimension of m×(2N+1), where m represents the number of datapoints at different circumferential locations around the annulus, wherein m is greater or equal to 2N+1,
• iteratively modifying probe positions placed around the annulus and determining a condition number of the design matrix A for each set of probe positions until a predetermined threshold is achieved for the condition number representing optimal probe position, wherein the condition number is defined as norm A·norm A+, wherein A+ represents inverse of A for a square matrix and a Moore-Penrose pseudoinverse of A for a rectangular matrix.