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 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.
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.
DC MOTOR MODELLING AND CONTROL3 Plot of field current: The dc motor parameters are entered inside the DC machine block. Plot of armature current:
End of preview
Want to access all the pages? Upload your documents or become a member.