EPICAP VOLTAGE VARIABLE CAPACITANCE DIODE DEVICE CONSIDERATIONS
A. EPICAP NETWORK PRESENTATION FIGURE 7d
The equivalent circuit in Figure 7shows the voltage capaci- Cc)l
tance and parasitic elements of an EPICAP diode. For design
purposes at all but very high and very low frequencies, Ls, RJ, )1
and CC can be neglected. The simplified equivalent circuit of
Figure 8represents the diode under these conditions. CJ {:.?
71
Definitions: R,
CJ —Voltage Variable Junction Capacitance
RS —Series Resistance (semiconductor bulk, contact,
and lead resistance) ~,1~
Cc —Case Capacitance ,,$,
FIGURE 8
LS—Series Inductance
RJ —Voltage Variable Junction Resistance (negligible c,
above 100 kHz) oVI ~,:.\..?,.:.K:.
B. EPICAP CAPACITANCE VS REVERSEBIAS VOLTAGE CT= CC+CJ :xd>y,b “’*
J* (1)
..:.,:\:.
The most important design characteristic of an EPICAP C,= CC+ c“ ~‘{[,~”,{ ‘(2)
diode is the C, versus VRvariation as shown in equations 1and (1 +$$$:$’”
2. Since the designer is primarily interested in the slope of CT C.= C, at VR =O
versus VR, the CC, CO, o, and Ycharacteristics have been en- ‘*,‘:,.. V, =Reverse Bias
. ,.“$?.
compassed by the simplified equation 3. Min/max limits on @=Contact Potent~*~W*.y o’~6vOlt ~ = CJ slope, ~z0.5
a(as defined in Note 6) can be guaranteed over aspecified
V~ range. c,= ~>$,; ’’”” (3)
sv&$4, .,? “
\~,\.t
,i,;:\;2:1-
.Jt’.,.
,,* *J;:..
.$/:,
,?i~~e.),,,
.,!),l.,
,~\*\..%*,, \.
JJ: -1>,\
,.~,
..,, ‘$\:
\\$:\,i.;:.:.l,,!:>
J,.r,,
,$\i,y,*?$,\,t,*;,.
‘,:$.,
~1.?,
,,+$
C. EPICAP CAPACITANCE VS FREQUENCY
Variations in EPICAP effective capacitance, as a function of
operating frequency, can be derived from asimplified equiv-
alent circuit similar to that of Figure 7, but neglecting RS and
R,. The admittance expression for such acircuit is given in
equation 4. Examination of equation 4yields the following
information:
At low frequencies, C,. =CJ; at very high freque~~~es
(f= m) C.q -cc. . .,i,
..
As frequency is increased from 1MHz, C., incre~&2$@n%~
it is maximum at W2 =1/LsCJ: and as WZ is incraa&~%6m
1/LsC, toward infinity, C.; increases from ave~:~~~~e ca-
pacitance (inductance) toward C., =Cc, apositi%.c~,@~tan ce.
Very simple calculations for C., at highe~$~.$~~%mcles indi-
cate the problems encountered when cap%~~-surements
~~~ <LsC,, small
are made above 1MHz. As uapproach esi.w. %.{
variations in Ls cause extreme variat~~%~~:,~easured diode
capacitance. ,.. ~~\
%<
,+:~,+:,:,,
.,~t.,~,.iy
..;:....
y=j.C.q =Jwc.+1 T~LsCJ (4)
0. EPICAP FIGURE OF MERIT (~h@WtiTOFF FREQUENCY (f..)
The efficiency of EPIC& re%se to an input frequency is
related to the Figure of ,~~@tof the device as defined in equa-
tion 5. For very low f&@~FR@ies, equation 6applies whereas
at high frequencie~~~fi,e~d” Rj can be neglected, equation 5
may be rewritten i~$dw familiar form of equation 7.
Another usefd~<~&&meter for EPICAP devices is the cutoff
frequency (f.:~:~lk is merely that frequency at which Qis
equal to l..~~u~~on 8gives this relationship.
,:,$> *J
.....
,,..,,...,:\., ~?,.>,:.t!:,
E. H~~%$lW GENERATION USING EPICAPS
,<:\*s\,+l.,,,,.:-::,
gf@9~flt harmonic generation is possible with Motorola
EPl@PS because of their high cutoff frequency and break-
down voltage. Since EPICAP junction capacitance varies in-
versely with the square root of the breakdown voltage,
harmonic generator performance can be accurately predicted
from various idealized models. Equation 9gives the level of
maximum input power for the EPICAP and equation 10 gives
the relationshi~s governing EPICAP circuit efficiency. In these
Q=%
Rsa~ (5)
Q,, =UCJRJ2
RJ +Rs(l +W2CJ2RJ2) (6)
Q,, = ~ (7)
wRsC.*
f.. =Qf.., = ~ (8)
2RRSCBYR
p,~,,) ~M(BV, +o)z f,.
I“ Rs E(9)
M(x2) =0.0285 ;M(x3) =0.0241; M(x4) =0.196
Eff=l– N~ (lo)
co
N(x2) =20.8; N(x3) =34.8; N(x4) =62.5
equations, adequate heat =inking has been assumed. Mand Nare Constants
@
@WOTOROLAINC.,1972
MOTOROLA Semiconductor Products Inc.
OOX 20S12 ●PHOENIX, ARIZONA 85036 ●ASUBSIDIARY OF MOTOROLA INC.
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