System and method for efficiently determining a phase shift in a propulsion system
A propulsion system includes at least two propulsors. The at least two propulsors each comprising a fan having a plurality of fan blades. A controller includes memory and one or more processors. The memory stores instructions that when executed by the one or more processors cause the system to perform the following: determine a pairwise phase difference between one propulsor of the at least two propulsors and another propulsor of the at least two propulsors; generate a reference phase angle; determine a target phase shift for each propulsor of the at least two propulsors; and adjust a speed of each propulsor of the at least two propulsors based on the target phase shift until the pairwise phase difference is equal to the reference phase angle.
1. A propulsion system comprising:
at least two propulsors, the at least two propulsors each comprising a fan having a plurality of fan blades; and
a controller including memory and one or more processors, the memory storing instructions that when executed by the one or more processors cause the system to perform the following:
determine a pairwise phase difference between one propulsor of the at least two propulsors and another propulsor of the at least two propulsors;
generate a reference phase angle that is different than the pairwise phase difference;
determine a target phase shift for each propulsor of the at least two propulsors at least partially based on the reference phase angle and the pairwise phase difference, wherein the target phase shift is a minimum angle adjustment for each propulsor of the at least two propulsors to collectively achieve the reference phase angle; and
adjust a speed of each propulsor of the at least two propulsors based on the target phase shift until the pairwise phase difference is equal to the reference phase angle.
2. The propulsion system of claim 1 , wherein the target phase shift for each propulsor is determined such that a cost function is minimized, wherein minimizing the cost function results in the target phase shift being the minimum angle adjustment for each propulsor of the at least two propulsors.
3. The propulsion system of claim 1 , wherein the at least two propulsors comprises a first propulsor, a second propulsor, and a third propulsor, wherein the pairwise phase difference is a first pairwise phase difference between the first propulsor and the second propulsor, and wherein the one or more processors are further configured to:
determine a second pairwise phase difference between the first propulsor and the third propulsor, and wherein the first pairwise phase difference is different than the second pairwise phase difference.
4. The propulsion system of claim 1 , wherein at least one propulsor of the at least two propulsors is a digital propulsor.
5. The propulsion system of claim 1 , wherein the at least two propulsors comprises a first propulsor and a second propulsor, the first propulsor includes a first fan having a first plurality of fan blades, the second propulsor has a second fan having a second plurality of fan blades, wherein the first propulsor defines a first angle between a first top dead center (TDC) reference line and a fan blade of the first plurality of fan blades closest to the first TDC reference line at an instance in time, wherein the second propulsor defines a second angle between a second TDC reference line and a fan blade of the second plurality of fan blades closest to the second TDC reference line at the instance in time, and wherein the pairwise phase difference is a difference between the first angle and the second angle at the instance in time.
6. The propulsion system of claim 1 , wherein each propulsor of the at least two propulsors further comprises a shaft and an electric machine operably connected to the shaft, and wherein adjusting the speed of each propulsor of the at least two propulsors comprises:
adjusting a rotational speed of the shaft by transferring power between the electric machine and the shaft.
7. The propulsion system of claim 1 , wherein each propulsor of the at least two propulsors further comprises a fuel delivery system operably connected to a combustion section, and wherein adjusting the speed of each propulsor of the at least two propulsor further comprises:
adjusting an amount of fuel supplied to the combustion section with the fuel delivery system.
8. The propulsion system of claim 1 , wherein the reference phase angle is non-zero.
9. A controller in communication with a gas turbine system, the controller including memory and one or more processors, the memory storing instructions that when executed by the one or more processors cause the system to perform the following:
determine a pairwise phase difference between one propulsor of at least two propulsors and another propulsor of the at least two propulsors of the gas turbine system;
generate a reference phase angle that is different than the pairwise phase difference;
determine, with a cost function, a target phase shift for each propulsor of the at least two propulsors at least partially based on the reference phase angle and the pairwise phase difference, wherein the target phase shift is a minimum angle adjustment for each propulsor of the at least two propulsors to collectively achieve the reference phase angle; and
instruct the gas turbine system to adjust a speed of each propulsor of the at least two propulsors based on the target phase shift until the pairwise phase difference is equal to the reference phase angle.