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Running head: DC MOTOR MODELLING AND CONTROL
DC MOTOR MODELLING AND CONTROL
Name of the Student
Name of the University
Author Note
DC MOTOR MODELLING AND CONTROL
Name of the Student
Name of the University
Author Note
DC MOTOR MODELLING AND CONTROL1
Section A: DC Motor Modelling
1.The equivalent circuit diagram of separately excited DC motor is given below.
The field resistance Rf = 75 Ω.
Field inductance Lf = 50 H
Back emf constant Ke = 0.5
J = moment of inertia of drive = 0.2 kgm^2
B = frictional coefficient of drive system = 0.067 kgm^2/s
Here, Va = armature voltage (V)
Ia = armature current (A)
Ea = back EMF produced at the Armature
Vf = DC field voltage and If = current (A)
Te = electrical drive torque and Tl = load torques (Nm)
ω = drive speed in rads/sec.
Section A: DC Motor Modelling
1.The equivalent circuit diagram of separately excited DC motor is given below.
The field resistance Rf = 75 Ω.
Field inductance Lf = 50 H
Back emf constant Ke = 0.5
J = moment of inertia of drive = 0.2 kgm^2
B = frictional coefficient of drive system = 0.067 kgm^2/s
Here, Va = armature voltage (V)
Ia = armature current (A)
Ea = back EMF produced at the Armature
Vf = DC field voltage and If = current (A)
Te = electrical drive torque and Tl = load torques (Nm)
ω = drive speed in rads/sec.
DC MOTOR MODELLING AND CONTROL2
Ra = armature resistance, La = armature inductance, Rf = Field resistance, Lf = field
inductance.
Hence, by using the KVL analysis
Va = V(Ra) + V(La) + Ea
Va = Ia*Ra + Ia*(dIa/dt) + Ea.
Now, the value of Ra = (2*(xyz/999) + 1). Here, ‘xyz’ is 304.
Hence, Ra = 2*304/999 + 1 = 1.6086 Ω.
2.Now, the Back emf of the DC motor is given by,
Ea = Ke*If*ω.
Now, this is built in Simulink as given below.
Here, the field current If and drive speed w are maintained at 0 and field voltage is
maintained at 100 volt by a controlled voltage source.
Ra = armature resistance, La = armature inductance, Rf = Field resistance, Lf = field
inductance.
Hence, by using the KVL analysis
Va = V(Ra) + V(La) + Ea
Va = Ia*Ra + Ia*(dIa/dt) + Ea.
Now, the value of Ra = (2*(xyz/999) + 1). Here, ‘xyz’ is 304.
Hence, Ra = 2*304/999 + 1 = 1.6086 Ω.
2.Now, the Back emf of the DC motor is given by,
Ea = Ke*If*ω.
Now, this is built in Simulink as given below.
Here, the field current If and drive speed w are maintained at 0 and field voltage is
maintained at 100 volt by a controlled voltage source.
DC MOTOR MODELLING AND CONTROL3
Plot of field current:
The dc motor parameters are entered inside the DC machine block.
Plot of armature current:
Plot of field current:
The dc motor parameters are entered inside the DC machine block.
Plot of armature current:
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