Project - Speed Control of a Direct Current (DC) motor

1)

ANSWER:

AIM: In this project, a Simulink model for the DC motor will be first developed per the schematic shown in Figure 1.

Use the Proportional, Integral, and Derivative (PID) control design knowledge gained in the training to design, develop and test a controller to maintain a desired speed for the motor.

EXPLANATION:

• The Project is based on speed control of a DC Motor By Using PID Controller.
• Initially,simulink model of a Dc Motor is constructed, then make it as subsystem called "DC MOTOR".
• Then,Subsystem Dc motor is connected to the discrete PID controller to maintain the desired speed as it is.
• After that Pid controller begin with Kp,Ki,Kd as 1.0,1.0,0 after tuning accordingly, we can adjust Kp,Ki,Kd as 31.58, 82.37, 2.35 respectively. To obtain Control Design Objectives.

Simulink model of DC motor:

Parameters:

J=0.01; % moment of inertia
B=0.1; % motor viscous friction
Km=0.01;% Back Emf
Kt=0.01; % Motor Torque Constant
Ra=1; % Armature Resistance
La=0.5;%Armature Inductance

Plotting of Initial Dc Motor Behaviour in Various Scenario Without any Controller:

Now for the Design of the DC motor with Discrete PID ccontroller:

Here we consider the PID control paramters as :

Kp =1, ki =1, kd =0

But after tuning we set kp ki kd to 31.5 82.3 2.3 which is used to obtaine the control objectives of the settling time overshoot time and steady state error.

Plotting while Tuning as settling time as 1.51 sec:

Plotting while Tuning as overshoot is less than 5%:

Plotting while Tuning as Steady State Error is less than 1%:

Final Plot After Updating into Block:

Maintaining Stability of a dynamic system:

Scope Results:

To maintain a desired speed for the motor (case 1:Desired Speed = 50):

To maintain a desired speed for the motor (case 2:Desired Speed = 230):

In above two cases,we change desired speed as 50 in case 1 and 230 in case 2 , since the both a case, Plotting Remains same. Hence, we maintain desired Speed For a Dc Motor.

Conclusion:

we have desined In this project a Simulink model for the DC motor as shown in Figure 1.and also we Use the Proportional Integral and Derivative PID control design knowledge gained in the training to design develop and test a controller to maintain a desired speed for the motor.