Single-shaft batch counteractive flywheel moment optimal distribution method based on angular momentum margin
A reaction flywheel and optimization distribution technology, applied in the torque distribution of flywheel, torque optimization field of single-axis reaction flywheel, can solve the problem of complex solution of quadratic programming method, inability to complete the task, regardless of flywheel angular momentum, etc.
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[0040] 1. Establish a mathematical model for torque distribution of uniaxial batch reaction flywheels. Assuming that there are n reaction flywheels installed on a certain axis of the aircraft, the installation matrix of the flywheel set can be written as The desired torque of the system on this axis is denoted as u c , the command torque assigned to each flywheel is denoted as Then the relationship between the expected torque and the command torque should satisfy u c = I T u w , and this formula is also the constraint condition of the derivation optimization problem.
[0041] 2. Deduce the energy optimal allocation method. Since the energy consumption of the flywheel system is closely related to the output torque of each reaction flywheel, the following energy index function is constructed by using the flywheel torque vector Then the energy optimal allocation strategy can be expressed as the following optimization problem:
[0042] ...
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