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1730 A PM DC motor is rigidly coupled to a fan; the
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fan load torque is described by the expression TL = 5 + 005 + 0001 2 where torque is in N-m and speed in rad/s The motor has ka = kT = 242 Ra = 02 , and the inductance is negligible If the motor voltage is 50 V, what will be the speed of rotation of the motor and fan
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1734 A wound DC motor is connected in both a shunt
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and series con guration Assume generic resistance and inductance parameters Ra , Rf , La , Lf ; let the eld magnetization constant be kf and the armature constant be ka Assume ideal energy conversion, so that ka = kT The motor has inertia Jm and damping coef cient bm , and is rigidly connected to an inertial load with inertia J and damping coef cient b a Sketch a system-level diagram of the two con gurations that illustrates both the mechanical and electrical systems b Write an expression for the torque-speed curve of the motor in each con guration c Write the differential equations of the motor-load system in each con guration d Determine whether the differential equations of each system are linear; if one (or both) are nonlinear, could they be made linear with some
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1731 A separately excited DC motor has the following
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parameters: Ra = 01 Lf = 002 H Rf = 100 Ka = 08 La = 02 H Kf = 09
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The motor load is an inertia with J = 05 kg-m2 , b = 2 N-m-rad/s No external load torque is applied a Sketch a diagram of the system and derive the (three) differential equations b Sketch a simulation block diagram of the system (you should have three integrators) c Code the diagram using Simulink d Run the following simulations:
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Introduction to Electric Machines
simple assumption Explain clearly under what conditions this would be the case
1740 A four-pole, three-phase, Y-connected,
non salient pole synchronous motor has a synchronous reactance of 10 This motor is connected to a 230 3 V (line to line), 60-Hz, three-phase line and is driving a load such that Tshaft = 30 N-m The line current is 15 A, leading the phase voltage Assuming that all losses can be neglected, determine the power angle and E for this condition If the load is removed, what is the line current, and is it leading or lagging the voltage
Section 3: AC Synchronous Machines 1735 A non-salient pole, Y-connected, three-phase,
two-pole synchronous machine has a synchronous reactance of 7 and negligible resistance and rotational losses One point on the open-circuit characteristic is given by Vo = 400 V (phase voltage) for a eld current of 332 A The machine is to be operated as a motor, with a terminal voltage of 400 V (phase voltage) The armature current is 50 A, with power factor 085, leading Determine Eb , eld current, torque developed, and power angle
1741 A 10-hp, 230-V, 60 Hz, three-phase
wye-connected synchronous motor delivers full load at a power factor of 08 leading The synchronous reactance is 6 , the rotational loss is 230 W, and the eld loss is 50 W Find a The armature current b The motor ef ciency c The power angle Neglect the stator winding resistance
1736 A factory load of 900 kW at 06 power factor
lagging is to be increased by the addition of a synchronous motor that takes 450 kW At what power factor must this motor operate, and what must be its KVA input if the overall power factor is to be 09 lagging
1737 A non-salient pole, Y-connected, three-phase,
two-pole synchronous generator is connected to a 400-V (line to line), 60-Hz, three-phase line The stator impedance is 05 + j 16 (per phase) The generator is delivering rated current (36 A) at unity power factor to the line Determine the power angle for this load and the value of Eb for this condition Sketch the phasor diagram, showing Eb , IS , and VS
1742 The circuit of Figure P1742 represents a voltage
regulator for a car alternator Brie y, explain the function of Q, D, Z, and SCR Note that unlike other alternators, a car alternator is not driven at constant speed
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