Need to be clearly written and l don\'t prefer hand written Modeling and Control

Question

Need to be clearly written and l don't prefer hand written Modeling and Control Design of a DC Motor Proposal (Minimum 250 words) A very brief introduction of your project. Provide the general information/background about the DC I. motor (so that someone unfamiliar with the DCmotor could have a good idea of what it is); 2. State why it is important 3. State the tasks you plan to work on: such as modeling the DC motor, and a feedback controller design via root locus (Please note: the design will differ based on different system parameters and design requirements. You are not required to specify these details in the abstract.)

Explanation / Answer

1). An Electric DC motor is a machine which converts electric energy into mechanical energy. The working of DC motor is based on the principle that when a current-carrying conductor is placed in a magnetic field, it experiences a mechanical force. The direction of mechanical force is given by Fleming’s Left-hand Rule and its magnitude is given by F = BIl Newton.there is no basic difference in the construction of a DC generator and a DC motor. In fact, the same d.c. machine can be used interchangeably as a generator or as a motor. Like generators DC motors are also classified in to shunt-wound, series-wound and compound-wound.
2). DC motors are seldom used in ordinary applications because all electric supply companies furnish alternating current. special applications such as in steel mills, mines and electric trains, it is advantageous to convert alternating current into direct current in order to use dc motors. The main reason is that speed/torque characteristics of d.c. motors are much more superior to that of a.c. motors. Therefore, it is not surprising to note that for industrial drives, d.c. motors are as popular as 3-phase induction motors.
3) steps involved in modelling of DC motor and controller using root locus technique:
a)Drawing the open-loop root locus
The main idea of root locus design is to find the closed-loop response from the open-loop root locus plot. Then by adding zeros and/or poles to the original plant, the closed-loop response can be modified. So, first, it is necessary viewing in the root locus for the plant.
b)Finding the open loop gain
we need the settling time and the overshoot to be as small as possible. Large damping corresponds to points on the root locus near the real axis. A fast response corresponds to points on the root locus far to the left of the imaginary axis. To find the gain corresponding to a point on the root locus, we can use the rlocfind command in matlab.We can find the gain and plot the step response using this gain all at once.
c)Adding a lag controller
The damping and settling time criteria were met with the proportional controller. The steady-state error is the only criterion not met with the proportional controller. A Lag Compensator can reduce the steady-state error. By doing this, it might however increase the settling time.
d)Plotting the closed-loop response
See the closed loop response and find that steady-state error is smaller than 1%, and the settling time and overshoot requirements have been met. As you can see, the design process for root locus is very much a trial and error process. That is why it is nice to plot the root locus, pick the gain, and plot the response all in one step. If we had not been able to get a satisfactory response by choosing the gains, we could have tried a different lag controller or also lead controller .

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