Discussion: Figure 1
shows an
AET USB-S-1.84 RF Source comb generator and two matched
Fischer F-33-1
current probes being used to measure the resonant frequencies of a 1.5
meter cable. The comb generator feeds one current probe, inductively
generating a series voltage on the cable using the current probe as a
transformer. A second current probe is
used to sense the resulting current in the cable.
A
close-up of the
comb generator and current probes is shown in Figure 2. There is a
ferrite core on the cable of the sensing current probe to help minimize
the effective of capacitive coupling between the body of the probe and
the cable being measured. Since the comb generator
assembly is physically small for the frequencies used in this
experiment, compared to the cable connecting the sensing probe to the
spectrum analyzer, a
ferrite core is of less importance on the "injection" probe.
Figure 2. Close-up of Comb Generator, "Injection" Current Probe, and Sensing Current Probe
Figure 3 shows the spectra of the induced current in the 1.5 meter
cable from zero to 200 MHz. The single peak in the center of the screen just below 100 MHz
is due to a local FM broadcast station. A broad current peak can be
seen around 80 MHz indicating cable resonance when driven from the
position of the pair of current probes. If the probes are moved to a
different position, resonant frequencies will also change as the cable
becomes an asymmetric dipole.
Normally,
the response around a cable resonance
would be a smooth rise to a maximum whose width is determined by the Q
of
the resonance, but Figure 3 shows a wavy effect. This is due to the
frequency spectra of the comb generator itself which is shown in Figure
4. If the plot in Figure 4 could be normalized to a constant amplitude
for all the harmonics and this normalization was then applied to the
data in Figure 3, the wavy pattern of amplitude with frequency in
Figure 3 would disappear. However, even without this normalization, it
is clear the cable has a primary resonance around 80 MHz.
Figure 3. Frequency Spectra of Sensed Current For 1.5 Meter Cable
(Vertical Scale = 10 dB/div, Horizontal Scale = 20 MHz/div)
Figure 4. Frequency Spectra of Comb Generator Output
(Vertical Scale = 10 dB/div, Horizontal Scale = 20 MHz/div)
Results for the
same measurement, except that a 1 meter cable is used, is shown in Figure
5 and the spectra of the resulting cable current is shown in
Figure 6. The resonance has moved up to about 120-130 MHz, commensurate
with the shorter length of the one meter cable.
Figure 5. Test Setup with USB Powered Comb Generator, Current Probes, and One Meter Cable
Figure 6. Frequency Spectra of Sensed Current For One Meter Cable
(Vertical Scale = 10 dB/div, Horizontal Scale = 20 MHz/div)