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determine the load power at ring angles = 0 , 30 , 60 , 90 , 120 , 150 , 180 , and plot the load power as a function of Vr = 10% = 1 V VL = 10 V IL = 650 mA vline = 170 cos( t) = 2,513 rad/s
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1115 The diodes in the full-wave DC power supply
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shown in Figure P1113 are silicon If: IL = 600 mA Vr = 8% = 4 V VL = 50 V vline = 170 cos( t) V
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1112 In the circuit shown in Figure P1112, if:
determine the value of the conduction angle for the diodes and the average and peak current through the diodes The load voltage waveform is shown in Figure P1115
and if the diodes are fabricated from silicon, determine the conduction angle of the diodes
vL(t) VM VLMIN
1:n + ~ Vline + D4 ~ Vs D3 D1 iL + VL wt2 wt 2
D2 C
Figure P1115
Figure P1112
1113 Assume that the conduction angle of the silicon
diodes shown in the circuit of Figure P1113 is: = 23 vs1 (t) = vs2 (t) = 8 cos( t) V = 377 rad/s RL = 20 k C = 05 F Determine the rms value of the ripple voltage
Section 2: Choppers and DC Motor Supplies 1116 The chopper of Figure 1135 is used to control
the speed of a DC motor Let the supply voltage be 120 V and the armature resistance of the motor be 015 The motor back emf constant is 005 V/rev/min and the chopper frequency is 250 Hz Assume that the motor current is free of ripple and equal to 125 A at 120 rev/min a Determine the duty cycle of the chopper, , and the chopper on time, t1 b Determine the power absorbed by the motor c Determine the power generated by the supply
D1 1:n + ~ Vline + ~ Vs1 + ~ Vs2 D2 C
iL + VL
1117 The circuit of Figure 1139 is used to provide
regenerative braking in a traction motor The motor constant is 03 V/rev/min and the supply voltage is 600 V The armature resistance is Ra = 02 If the motor speed is 800 rev/min and the motor current is 300 A: a Determine the duty cycle, , of the chopper b Determine the power fed back to the supply (battery)
Figure P1113
1118 For the two-quadrant chopper of Figure 1040, 1114 The diodes in the full-wave DC power supply
shown in Figure P1112 are silicon If: VL = 53 V IL = 85 mA Vr = 06 V = 377 rad/s vline = 156 cos( t) V C = 1,023 F = Conduction angle = 2390 determine the value of the average and peak current through each diode assume that thyristors S1 and S2 are turned on for time t1 and off for time T t1 (T is the chopping period) Derive an expression for the average output voltage in terms of the supply voltage, VS , and the duty cycle, 1119 A step-up chopper is powered by an ideal 100-V battery pack The load voltage waveform consists of rectangular pulses with on time = 1 ms and period equal to 25 ms Calculate the average and rms value of the chopper supply voltage 1120 A buck converter connected to a 100-V battery pack supplies an R-L load with R = 05 and L =
Part II
Electronics
1 mH The switch (a thyristor) is switched on for 1 ms and the period of the switching waveform is 3 ms Calculate the average value of the load voltage and the power supplied by the battery
1121 The converter of Problem 1121 is used to supply
a separately excited DC motor with Ra = 02 and La = 1 mH At the lowest speed of operation, the back emf, Ea , is equal to 10 V Calculate the average value of the load current and voltage for this condition if the switching period is 3 ms and the duty cycle is 1/3 Ra = 033 and La = 15 mH is controlled by a DC chopper in the range 0 2,000 rev/min The DC supply is 220 V If the load torque is constant, and requires an average armature current of 25 A, calculate the duty cycle required if the motor armature constant is Ka = 000167 V-s/rev 240 V, 1,000 rev/min, and is supplied by a single-phase
controlled bridge recti er The power supply is sinusoidal and rated at 240 V, 60 Hz The motor armature resistance is 042 , and the motor constant is Ka = 2 V-s/rad Calculate the speed, power factor, and ef ciency for SCR ring angles = 0 and 20 if the load torque is constant Assume that additional inductance is present to ensure continuous conduction
1124 A separately excited DC motor is rated at 10 kW,
300 V, 1,000 rev/min, and is supplied by a three-phase controlled bridge recti er The power supply is sinusoidal and rated at 220 V, 60 Hz The motor armature resistance is 02 , and the motor constant is Ka = 138 V-s/rad The motor delivers rated power at = 0 Calculate the speed, power factor, and ef ciency for a ring angles = 30 if the load torque is constant Assume that additional inductance is present to ensure continuous conduction
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