30 A shunt motor in Figure P14.30 is characterized by a field coefficient kf = 0.12 V-s/A-rad, such that the back emf is given by the expression E, = kfIfw and the motor torque by the expression T = kçI,Iq. The motor drives an inertia/viscous friction load with parameters J = 0.8 kg-m² and b= 0.6 N-m-s/rad. The field equation may be approximated by Vs = R;IF. The armature resistance is R, = 0.75 2, and the field resistance is Rp = 60 2. The system is perturbed around the nominal operating point V5p = 150 V, wn = 200 rad/s, Io = 186.67 A, respectively. %3D a. Derive the dynamic system equations in symbolic form. b. Linearize the equations you obtained in part a. Ia ll La Ra Vs ER

Question
30 A shunt motor in Figure P14.30 is characterized
by a field coefficient kf = 0.12 V-s/A-rad, such that
the back emf is given by the expression E, = kfIfw
and the motor torque by the expression T = kçI,Iq.
The motor drives an inertia/viscous friction load with
parameters J = 0.8 kg-m² and b= 0.6 N-m-s/rad.
The field equation may be approximated by
Vs = R;IF. The armature resistance is R, = 0.75 2,
and the field resistance is Rp = 60 2. The system is
perturbed around the nominal operating point
V5p = 150 V, wn = 200 rad/s, Io = 186.67 A,
respectively.
%3D
a. Derive the dynamic system equations in symbolic
form.
b. Linearize the equations you obtained in part a.

Image Transcription

30 A shunt motor in Figure P14.30 is characterized by a field coefficient kf = 0.12 V-s/A-rad, such that the back emf is given by the expression E, = kfIfw and the motor torque by the expression T = kçI,Iq. The motor drives an inertia/viscous friction load with parameters J = 0.8 kg-m² and b= 0.6 N-m-s/rad. The field equation may be approximated by Vs = R;IF. The armature resistance is R, = 0.75 2, and the field resistance is Rp = 60 2. The system is perturbed around the nominal operating point V5p = 150 V, wn = 200 rad/s, Io = 186.67 A, respectively. %3D a. Derive the dynamic system equations in symbolic form. b. Linearize the equations you obtained in part a.

Ia
ll
La
Ra
Vs
ER

Image Transcription

Ia ll La Ra Vs ER

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