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530_343lecture16

530_343lecture16 - ME 530.343 Design and Analysis of...

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ME 530.343: Design and Analysis of Dynamic Systems Spring 2009 Lecture 16 - Electromechanical Systems Tuesday, April 8, 2009 Today’s Objectives Develop dynamical equations for electromechanical systems Reading: Chapter Electromechanical Systems Question to ask: How are the electrical and mechanical systems coupled to create a single elec- tromechanical system? Resistive coupling potentiometer, “variable resistor” (in Lecture 11 notes) Capacitive coupling tactile array sensor (in Lecture 11 notes) Coupling by a magnetic field variables: f e , force on the conductor (N) v , velocity of conductor (m/s) l , length of the conductor (m) φ , flux (Wb) B , flux density ( Wb/m 2 ) i , current in conductor (A) e m , voltage induced (V) 1

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From classical physics: 1. A wire in a magnetic field that carries a current will have a force exerted on it. In vector form df e = i ( dl × B ) Use the Right Hand Rule For our applications (e.g., motors), l and B are perpendicular df e = idlB f e = Bli 2. A voltage will be induced in a wire that moves relative to a magnetic field (Back EMF)
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530_343lecture16 - ME 530.343 Design and Analysis of...

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