Consider the original low pass filter for 40 meters. Wes
Hayward chose a cutoff frequency of 7.40 MHz which means that the individual Pi
filter elements are 1.08 uH for the inductor ( L1 ) and 430 pF for each
capacitor ( C1 and C2 ). I placed a 100 pF cap in parallel with a 330 pF cap to
get the 430 pF capacitance in my version of the 40 meter low pass filter. He
could of easily chose a 390 pF capacitor on each side of the filter for a cutoff
frequency of 8.18 MHz. How close to the band edge frequency you want to get is
up to you. If you want to have an fco just above the higher band limit you will
probably have to parallel 2 capacitor values as W7ZOI did. If you are a more
frugal builder, you can use the nearest standard value capacitor that will
provide an fco above your upper band limit. Using software to determine the
filter elements is the most rapid method to do this, but here are the formulas
right out of the PI Filter program:
Cutoff Frequency = 1000000.0 / (
Capacitance * 6.283 * 50.0)
The Frequency answer will be in MHz and
the Capacitance variable refers to the picofarad value for C1 and C2 which are
always the same value ( C1 = C2 ). If you parallel 2 caps for C1 and C2, use the
total capacitance value for the Capacitance variable.
Inductance =
50.0 / ( 6.283 * Frequency )
Inductance answer will be in
microhenries and the Frequency variable is in MHz.
Lets build a filter
for the 30 meter band. The largest standard value that you can use for C1 and C2
is 270 pF, which gives a cutoff frequency of 11.79 MHz. This maybe acceptable to
you however perhaps you would like a cutoff closer to the upper band limit of 30
meters. Placing a 33 pF cap in parallel with C1 and C2 would result in a total
capacitance of 303 pF and an fco of 10.51 MHz. This would be a great filter. The
required inductance to resonate 303 pF at 10.51 MHz is 0.76 uH. Using the
CoilBulder program this can be constructed with 14 turns of number 22 AWG enamel
covered wire on a T50-6 core.
The above formulas can be used to build filters
using standard capacitor values for C1 and C2. The only problem is that you need
to start with a capacitance value and substitute the value up or down with
standard or paralleled cap values to reach the desired cutoff value. The
starting capacitance can be determined with a formula:
Capacitance =
1000000.0 / ( 6.283 * Cutoff Frequency * 50.0 )
Capacitance answer is
in pF. Cutoff Frequency is in MHz and is the desired cutoff frequency for your
filter.
The starting capacitance formula will get you going and you can
use either the program or other formulas to design your filter. Another
alternative is variable capacitors and/or inductors, but I will not go
there.
Once your filter is designed, all that is left is to design the values
for series-resonant T/R components C2 and L3 of the Ugly Weekender Transmitter
schematic on this web page.
Transmit / Receive
Circuit
The following text now refers to the Ugly Weekender
transmitter schematic on this web page.
The Ugly Weekender transmitter
featured a clever circuit to provide QSK switching when used as part of a
transceiver. The antenna is connected to both the receive input and the
transmitter output at all times. While transmitting, the back-to-back diodes in
the schematic conduct and prevent the RF level from exceeding 0.7 volts RMS. I
have used this scheme with power output levels of over 50 watts using a higher
inductance to capacitance ratio to keep the current in the diodes low. The W7ZOI
T/R scheme also adds selectivity for the receiver as the antenna input is
connected to the receiver through a low pass filter. It is necessary to design a
series-resonant circuit to connect the low pass filter to the receiver in order
to minimize signal loss on receive. The inductive reactance of the inductor L3
and the capacitive reactance of capacitor C2 are equal at the operating
frequency. It seems that using a reactance of ~450 ohms at the lower band edge
works well.
To design this circuit, first get the value for C2 by the
following formula :
Capacitance = 1000000.0 / ( 6.283 * Lower
Band-Edge Frequency * 450.0 )
The Capacitance answer will be in pf
and the Lower Band-Edge Frequency is in MHz.
For the 40 meter band this
means that C2 is 51 pF. If I only had a 47 ohm capacitor on hand, I could
substitute a 47 pF value for C2. This of course means that my XC is no longer
450 ohms and I will need to re-calculate the capacitive reactance as the XC
value is also the inductive reactance value ( XC = XL at resonance ) which is
needed to calculate the inductor value for L3.
Capacitive Reactance =
1000000.0 / ( 6.283 * Capacitor Value * Lower Band-Edge Frequency )
Capacitive reactance is in ohms, Capacitor Value in pF and Frequency
in MHz.
You will need to do this whenever the 450 ohms capacitive
reactance value does not not give a standard value capacitor. Simply substitute
the nearest standard value or parallel an additional capacitor to get near the
value and re-calculate the XC. Use the XC and thus XL value to calculate the
needed inductance for inductor L3 using this formula :
Inductance = XL
/ ( 6.283 * Lower Band-Edge Frequency )
If I used the 47 pF cap for
C2, the XC = 484 ohms and the required inductance for L3 = 10.2 uH. In Wes
Haywards original article a 51 pF cap was used for C2 and L3 was 10.1 uH and the
XC/XL = 446 ohms.
The final variable to be calculated is the new
capacitance for C1. When transmitting, C1 and C2 are effectively in parallel and
the C2 value must be subtracted from the original Pi filter C1 value. As you
recall, the value determined for C1 when doing the PI Filter calculations was
430 pF in Wes Haywards design for 40 meters. Subtracting C2 from C1 = 430 pF -
51 pF = 379 pF. Wes used a 390 pF value for C1, substituting the nearest
standard value capacitor.
Lets calculate all the values for a 15 meter
band output section using standard value capacitors :
Cutoff Frequency chosen
= 21.65 MHz. C1 = 120 pF, C2 = 18 pF, C3 = 147 pF, C4 = 147 pF, L1 = 0.37 uH, L2
= 0.37 uH and L3 = 3.19 uH.
Ideally C1 should have been C3 - C2 or 129 pF ,
however a 120 pF value was substituted. I believe that it is better to go low
with the C1 value as the Zener diode D1 exhibits some capacitance to the circuit
as well. For C3 and C4, parallel a 120 pF with a 27 pF capacitor to make the
required 147 pF. The inductors are easily wound on powdered iron
toroids.
Series-Resonant Variations
A
slightly different variation of the series resonant circuit works well on 80 and
40 meters. A RFC of 15 uH is used as the inductor for L3. At 3.5 MHz, this choke
has an inductive reactance of ~330 ohms. The capacitance to resonate the circuit
( C2 ) is ~138 pF. Since your choke is generally off by 10% or more it is
necessary to tune the C2 value by placing a fixed value cap in parallel with a
trimmer cap so that the circuit can be peaked for maximum signal strength to the
receiver. The choke value is not critical as Qu is low and bandwidth is high,
but tuning is necessary. For a transmitter on 3.5 MHz, I once used a 15 uH RFC
for L3 with a 68 PF cap in parallel with a 90 pF trimmer cap for the C2 caps and
this combination tuned perfectly. This circuit does not appear to critical with
respect to choke selection and the XL and XC values. Experimentation is fun and
can be used to suit the parts that you have on hand.