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Unformatted text preview: (a) The FBD for the system is which results in the set of equations: or (b) Take Laplace Transform of the equations of motion. This in matrix form is: Using Cramer's Rule to solve for Y now rearranging a bit and writing as a transfer function Solution: (a) equations of motion: Rotor: Load: Circuit: (b) The relation between the out torque and the armature current is: (This is the transducer linking the electric and the mechanical energy domains. Torque is an "effort" variable and current is a "flow" variable so this is a gyrator.) Now taking the Laplace Transform of the equations of motion using the gyrator to link the energy domains: rearranging and writing in the form of a transfer function:...
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 Spring '09

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