DC Motor - refresher

# DC Motor - refresher - Matlab and Simulink for Modeling and...

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Matlab and Simulink for Modeling and Control Robert Babuˇska and Stefano Stramigioli November 1999 Delft University of Technology Delft Control Laboratory Faculty of Information Technology and Systems Delft University of Technology P.O. Box 5031, 2600 GA Delft, The Netherlands

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From Figure 1 we can write the following equations based on the Newton’s law combined with the Kirchhoff’s law: J d 2 θ dt 2 + b dt = Ki, (3) L di dt + Ri = V - K dt . (4) 2.3 Transfer Function Using the Laplace transform, equations (3) and (4) can be written as: Js 2 θ ( s )+ bsθ ( s )= KI ( s ) , (5) LsI ( s RI ( s V ( s ) - Ksθ ( s ) , (6) where s denotes the Laplace operator. From (6) we can express I ( s ) : I ( s V ( s ) - ( s ) R + Ls , (7) and substitute it in (5) to obtain: 2 θ ( s bsθ ( s K V ( s ) - ( s ) R + Ls . (8) This equation for the DC motor is shown in the block diagram in Figure 2. Velocity Torque Armature Ts () Load Back emf Voltage Angle w( ) s Vs + - 1 Js+b q( ) s K b K Ls+R 1 s Figure 2: A block diagram of the DC motor.
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## This note was uploaded on 02/03/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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DC Motor - refresher - Matlab and Simulink for Modeling and...

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