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i1 1:2N
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iL RL + vL _
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+ _ NvS + _ NvS i2
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Figure 842 Full-wave recti er
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while during the negative half-cycle, the bottom diode conducts and the top diode is off, and the load current is given by iL = i2 = N vS RL vS < 0 (818)
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Note that the direction of iL is always positive, because of the manner of connecting the diodes (when the top diode is off, i2 is forced to ow from + to across RL ) The source voltage, the load voltage, and the currents i1 and i2 are shown and N = 1 The full-wave in Figure 843 for a load resistance RL = 1
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10 10 i 1(A) 5 0 0005 001 0015 t (s) 002 0025 003
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0 0005 001 0015 t (s) 002 0025 003
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10 i 2(A) 5 0 0005 001 0015 t (s) 002 0025 003
vL (V)
5 0 0005 001 0015 t (s) 002 0025 003
Figure 843 Full-wave recti er current and voltage waveforms (RL = 1
8
Semiconductors and Diodes
recti er results in a twofold improvement in ef ciency over the half-wave recti er introduced earlier The Bridge Recti er Another recti er circuit commonly available off the shelf as a single integrated circuit package1 is the bridge recti er, which employs four diodes in a bridge con guration, similar to the Wheatstone bridge already explored in 2 Figure 844 depicts the bridge recti er, along with the associated integrated circuit (IC) package The analysis of the bridge recti er is simple to understand by visualizing the operation of the recti er for the two half-cycles of the AC waveform separately The key is that, as illustrated in Figure 845, diodes D1 and D3 conduct during the positive half-cycle, while diodes D2 and D4 conduct during the negative halfcycle Because of the structure of the bridge, the ow of current through the load resistor is in the same direction (from c to d) during both halves of the cycle; hence, the full-wave recti cation of the waveform The original and recti ed waveforms are shown in Figure 846(a) for the case of ideal diodes and a 30V peak AC source Figure 846(b) depicts the recti ed waveform if we assume diodes with a 06-V offset voltage Note that the waveform of Figure 846(b) is not a pure recti ed sinusoid any longer: The effect of the offset voltage is to shift the waveform downward by twice the offset voltage This is most easily understood by considering that the load seen by the source during either half-cycle consists of two diodes in series with the load resistor Although the conventional and bridge full-wave recti er circuits effectively convert AC signals that have zero average, or DC, value to a signal with a nonzero average voltage, either recti er s output is still an oscillating waveform Rather than provide a smooth, constant voltage, the full-wave recti er generates a sequence of sinusoidal pulses at a frequency double that of the original AC signal The ripple that is, the uctuation about the mean voltage that is characteristic of these recti er circuits is undesirable if one desires a true DC supply A simple yet effective means of eliminating most of the ripple (ie, AC component) associated with the output of a recti er is to take advantage of the energy-storage properties of capacitors to lter out the ripple component of the load voltage A low-pass lter that preserves the DC component of the recti ed voltage while ltering out components at frequencies at or above twice the AC signal frequency would be an appropriate choice to remove the ripple component from the recti ed voltage In most practical applications of recti er circuits, the signal waveform to be recti ed is the 60-Hz, 110-V rms line voltage The ripple frequency is, therefore, fripple = 120 Hz, or ripple = 2 120 rad/s A low-pass lter is required for which 0 ripple (819)
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