HW08_EG-2 - Ra La MAE3780M E C HAT RO N IC S FALL2009 V...

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a L a V b,emf T m T L MAE 3780 M ECHATRONICS FALL 2009 HOMEWORK 9 DUE: 11/17/09 1. Given the following system parameters analyze the system and perform a simulation on the following servo-system Servo-system parameters (mind your units. ..) J a = 5.5E-03 oz.(in.) 2 L a = 2.3E-03 H R a = 1.1 ohm K b,emf = 5.8 V/kRPM : Back emf constant K m = 7.8 oz.in./amp : Motor constant b a = 0.3*(Kb,emf*Km/Ra) J L = 3.45E-02 Kg(m) 2 : Load inertia b L = 3*ba : Load viscous damping, oil surrounding the load r 1 /r 2 = 5 : Ratio of radii of gearing from the motor to the load a) Use Matlab to determine the actual eigenvalues for the electro-mechanical system. How do they differ from the eigenvalues, if we assume that the coupled of electrical and mechanical portions of the system are negligible? b) Analytically, determine the steady state response for the system with a 10 V input to the motor. Verify the current and angular speed values with the Matlab simulation. MAE 3780 M
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HW08_EG-2 - Ra La MAE3780M E C HAT RO N IC S FALL2009 V...

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