# H_6 - d The state-space representation e Use Simulink and...

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Homework Set #6 (ECE743) 1. Problem 1: Consider a permanent magnet dc motor. The rotor is initially at stall with T L = 0 and B m = 6.04 × 10 -6 N m s. the armature is stepped from zero to 6 V while the change in T L is zero. The motor is rated at 6 V, with the following parameters: r a = 7 , L AA = 120 mH, k T = 2 oz in/A, J = 150 μ oz in s 2 . According to the motor data sheet, the no-load speed is approximately 3350r/min, and the no-load armature current is approximately 0.15 A. Determine the following: where: A m N KT A in oz k v / 73 . 141 73 . 141 / = = , m kg J × = × = - - 6 6 10 06 . 1 ) 37 . 39 ( ) 6 . 3 ( 10 150 , in m 37 . 39 1 = , oz Newton 6 . 3 1 = . a) The transfer function between i a (s) and v a (s). That is, (s) v (s) i G(s) a a = b) The transfer function between ϖ r (s) and v a (s). c) The natural frequency of oscillation and damping factor.

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Unformatted text preview: d) The state-space representation. e) Use Simulink and computer the time response of i a (t) and ϖ r (t) when the armature is stepped zero to 6 V while the change in T L is zero. f) When the motor has reached its steady-state operation under part e), a load torque of 0.5 oz ⋅ in is applied. Compute the time response of i a (t) and ϖ r (t). 1 2. Problem 2: The field current of a dc shunt motor is held constant. a) Express the transfer function G(s) = i α (s)/v α (s) for no-load conditions. b) Show that if B m = 0, this transfer function is identical in form to that of a series RLC circuit. c) Express R, L, and C in terms of machine parameters. 2...
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H_6 - d The state-space representation e Use Simulink and...

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