# additional_notes - X Electromechanical systems X.12 me 375...

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X.12 me 375 - cmk Example 2 The coupled electro-mechanical equations for an electric motor (ignoring armature inductance and armature damping) are given by: J ! ! = K T i a " # L e i t ( ) = Ri a + K T where is the rotation rate of the motor, is the mass moment of inertia of the armature, K T is the motor constant, i a is the armature current, L is the applied motor torque, e i t ( ) is the input voltage applied to the armature and is the armature resistance. An electric motor governed by the above equations is used to propel a fan boat along a smooth surface of ice. In this application, the fan exerts a resistive load torque of L = K L " on the output shaft of the motor, and the rotation of the fan creates a propulsive force f P = K P on the boat (where K L and K P are constants). In addition, the fan boat experiences of drag force of f D = K D v where is the speed of the boat and K D is a constant. Let m represent to total mass of the boat, motor and fan. For this problem, develop the transfer function relating the input voltage to the boat speed, G s ( ) = V s ( ) E i s ( ) . Determine the steady-state speed of the boat for a step input voltage e i t ( ) = e ( ) . J R v

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additional_notes - X Electromechanical systems X.12 me 375...

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