
istic curve
to
a
straight line, as shown by the broken
line in Fig.
1.
The approximate characteristic corre-
sponds to that of
a
fixed voltage (the threshold voltage)
plus
a
fixed resistance (the slope resistance). For any
shape of current waveform, the power dissipated at
constant voltage is the product
of
the
average current
and this fixed voltage, while the power dissipated
at
constant resistance is the product of the square of the
rms
current and
this
fixed resistance. Thus, the follow-
ing simple equation can be used:
where,
P
is the forward power dissipation,
is the average forward current through the rec-
tifier, averaged over one complete cycle,
is the
rms
value of the forward current
through the rectifier,
V,
is the threshold voltage, and
R,
is the slope resistance.
For the best accuracy, the straight-line approxima-
tion should be drawn through points on the current
curve corresponding to 50% and 150% of the peak
current at which the rectifier is to be used. Thus, in Fig.
1
the broken line would correspond
to
a
peak working
current of 200 amperes.
Carrier Storageon switching from forward con-
duction to reverse blocking, a silicon diode cannot
immediately revert
to
its blocking state because of the
presence of the stored carriers in the junction. These
have the effect of allowing current to flow in reverse,
as
through a forward-biased junction, when reverse
voltage is applied. The current is limited only by the
external voltage and circuit parameters. However, the
carriers are rapidly removed from the junction both by
internal recombination and by the sweep-out effect of
the reverse current, and when this has happened, the
diode reverts to its blocking condition in which only
a
low leakage current flows. This sudden cessation of
a
large reverse current can cause objectionable voltage
transients if there is appreciable circuit inductance and
surge-suppression components have not been included.
The reverse current due to carrier storage is not exces-
sive in normal operation of power rectifier circuits and
does not in itself constitute
a
hazard; however, its
effect can sometimes lead
to
complications in switch-
ing arrangements. For example, in an inductively
loaded circuit, the current will “free-wheel” through
the diodes after the supply has been removed until the
inductive energy has been discharged. Should the sup-
ply be reapplied while this process is going on, some
of
the diodes will be required to conduct in a forward
direction, but others will be required to block; while
the latter are recovering from the carrier storage
injected by the free-wheeling current, the short-circuit
across the supply can cause
a
damaging surge current
to
flow.
A
technique for reducing this problem is
to
use
“fast-recovery’’ rectifiers. These rectifiers are tailored
to
operate in high-frequency circuits with reduced and
specified amounts of recovered charge. The devices
change from conducting reverse current to leakage
current in
a
“nonabrupt” manner. The finite rate of
change in current reduces the transient voltages that
appear on the power semiconductors and other circuit
elements.
Schottky Rectifiers
The Schottky rectifier has the same terminal charac-
teristics as do conventional and fast-recovery rectifiers;
that is, it conducts current in one direction and blocks
voltage of one polarity. Rather than rely on a pn junc-
tion for rectification, the Schottky diode uses
a
metal-
to-semiconductor contact. Depending on the metal, the
forward voltage drop is typically one-half that of a
conventional silicon pn rectifier. The reverse voltage
rating is lower than that of
a
pn rectifier, being on the
order of 50 to 200 volts. The rectifying action
of
the
Schottky rectifier depends upon the majority carriers,
so
there is very little reverse current caused by minor-
ity-carrier recombination. Therefore, these devices are
characterized by very low recovered charge and
as
such are suitable for high-frequency rectification, up
to
typically
1
to
5
MHz. The devices are used extensively
as
rectifiers on the low-voltage windings of high fre-
quency switching mode power supplies. The
output
voltage of these systems is typically
5
volts dc, and
they operate typically at 20 kHz
to
1
MHz. The Schot-
tky rectifiers operate in these systems with consider-
ably lower conduction and switching losses than
silicon pn rectifiers.
Zener Diodes
“Zener” is the name given to
a
class of silicon
diodes having
a
sharp turnover characteristic at
a
par-
ticular reverse voltage,
as
shown
in
Fig. 2. If such
a
diode is operated
on
this part of its characteristic, no
breakdown (in the sense
of
dielectric breakdown)
occurs, and the process is reversible without damage.
The steepness of the reverse
part
of the current-volt-
age characteristic in the turnover region makes these
diodes excellent elements for voltage reference and
voltage regulation.
The temperature coefficient for
a
typical range of
zener diodes is shown
in
Fig.
3.
It
will be seen that the
coefficient changes from negative to positive
in
the
region
of
5
volts. Use is sometimes made of
this
phe-
nomenon to match diodes of opposite coefficient to
produce
a
series pair having
a
low effective tempera-
ture coefficient in combination.
Zener diodes are used to provide stable reference
voltages for electronic control circuits and
as
a voltage
reference for closed-loop regulating systems in which
the actual voltage is compared
to
the reference voltage
in order to develop an error signal. They are available