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

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

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Suppose that we are designing a 1200-rpm dc motor to run from a 240-V source. We have determined that the flux density will be 1 T because smaller fluxes make inefficient use of the iron and larger fluxes result in saturation. The radius of the rotor (and thus, the torque arm for the armature conductors) is 0.1 m. The lengths of the armature conductors are 0.3 m. Approximately how many armature conductors must be placed in series in this machine?
Q2) A 4-pole, 240V, lap-wound, series motor has armature and series field Ra resistance of 0.3 ohm, and 0.025 ohm respectively. There are 672 armature conductors. If the flux per pole is 0.25 Wb, and the total torque developed in the armature is 348 Nm, find the current taken by the motor, and its speed.
A dc motor has a back emf of 110 V and an armature current of 90 A when running at 1500 rpm. Find the torque developedwithin the armature.
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