A method of optimizing probe placement in a turbomachine is disclosed which includes determining wavenumber (Wn) of N dominant wavelets generated by upstream and downstream stators and blade row interactions formed around an annulus, establishing a design matrix A utilized in developing flow properties around the annulus having a dimension of m×(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.Math.norm A+, wherein A+ represents inverse of A for a square matrix and a Moore-Penrose pseudoinverse of A for a rectangular matrix.

A method of optimizing probe placement in a turbomachine is disclosed which includes establishing a design matrix A of size m×(2N+1) utilized in developing flow properties around an annulus of a turbomachine, where m represents the number of datapoints at different circumferential locations around the annulus, and N represents dominant wavelets generated by upstream and downstream stators and blade row interactions formed around an annulus, wherein m is greater or equal to 2N+1, and optimizing probe positioning by iteratively modifying probe positions placed around the annulus and for each iteration 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 an optimal probe layout.

A method of optimizing probe placement in a turbomachine is disclosed which includes establishing a design matrix A of size m×(2N+1) utilized in developing flow properties around an annulus of a turbomachine, where m represents the number of datapoints at different circumferential locations around the annulus, and N represents dominant wavelets generated by upstream and downstream stators and blade row interactions formed around an annulus, wherein m is greater or equal to 2N+1, and optimizing probe positioning by iteratively modifying probe positions placed around the annulus and for each iteration 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 an optimal probe layout.

A method of optimizing probe placement in a turbomachine is disclosed which includes determining wavenumber (Wn) of N dominant wavelets generated by upstream and downstream stators and blade row interactions formed around an annulus, establishing a design matrix A utilized in developing flow properties around the annulus having a dimension of m×(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.Math.norm A+, wherein A+ represents inverse of A for a square matrix and a Moore-Penrose pseudoinverse of A for a rectangular matrix.

A method for reconstructing nonuniform circumferential flow in a turbomachine is disclosed which includes receiving one or more wavenumbers of interest, receiving positional information for a plurality of circumferential positions of a plurality of instrumentation probes, receiving signals from the plurality of instrumentation probes to generate a spatially under-sampled data, and from the spatially under-sampled data determining a multi-wavelet approximation reconstructing circumferential flow field.

A fluid displacement device including a center shaft and a plurality of vanes. Each of the plurality of vanes has an inner edge, an outer edge, and a spiraling edge disposed between the inner edge and the outer edge. The spiraling edge of each of the plurality of vanes follows a Fibonacci spiral based on circular arcs traced through a Fibonacci tiling comprising squares having side lengths that are a multiple of at least five successive Fibonacci numbers.

A fluid displacement device including a center shaft and a plurality of vanes. Each of the plurality of vanes has an inner edge, an outer edge, and a spiraling edge disposed between the inner edge and the outer edge. The spiraling edge of each of the plurality of vanes follows a Fibonacci spiral based on circular arcs traced through a Fibonacci tiling comprising squares having side lengths that are a multiple of at least five successive Fibonacci numbers.

A method of controlling settings of one or more actuatable gas turbine engine components includes: providing a first matrix which relates reduction in the operational parameter maximum value during the transient manoeuvre to settings of the component(s); providing a second matrix which relates the operational parameter maximum values attained during the transient manoeuvre: time to attain the maximum value after transient manoeuvre initiation, and operational parameter rate of change at the time of the maximum value; monitoring the engine in operation to identify a start of a transient manoeuvre; predicting, on the basis of the second matrix maximum values, an overshoot operational parameter amount during the identified transient manoeuvre and a time the overshoot occurrence; selecting a setting, using the first matrix, to eliminate the predicted overshoot; and applying the setting to the component(s) for a predetermined period around the predicted time of occurrence to reduce or avoid the overshoot.

A method of controlling settings of one or more actuatable gas turbine engine components includes: providing a first matrix which relates reduction in the operational parameter maximum value during the transient manoeuvre to settings of the component(s); providing a second matrix which relates the operational parameter maximum values attained during the transient manoeuvre: time to attain the maximum value after transient manoeuvre initiation, and operational parameter rate of change at the time of the maximum value; monitoring the engine in operation to identify a start of a transient manoeuvre; predicting, on the basis of the second matrix maximum values, an overshoot operational parameter amount during the identified transient manoeuvre and a time the overshoot occurrence; selecting a setting, using the first matrix, to eliminate the predicted overshoot; and applying the setting to the component(s) for a predetermined period around the predicted time of occurrence to reduce or avoid the overshoot.